-
1
-
-
0014980004
-
1 solutions of overdetermined linear equations
-
N.N. Abdelmalik, Linear L1 approximation for a discrete point set and L1 solutions of overdetermined linear equations, J. Assoc. Comput. Mach. 18 (1971) 41-47.
-
(1971)
J. Assoc. Comput. Mach.
, vol.18
, pp. 41-47
-
-
Abdelmalik, N.N.1
-
2
-
-
0346729371
-
1 approximation problem
-
N.N. Abdelmalik, An efficient method for the discrete linear L1 approximation problem, Math. Comp. 29 (1975) 844-850.
-
(1975)
Math. Comp.
, vol.29
, pp. 844-850
-
-
Abdelmalik, N.N.1
-
4
-
-
0344463880
-
Discrete, nonlinear approximation problems in polyhedral norms
-
D.H. Anderson, M.R. Osborne, Discrete, nonlinear approximation problems in polyhedral norms, Numer. Math. 28 (1977) 143-156.
-
(1977)
Numer. Math.
, vol.28
, pp. 143-156
-
-
Anderson, D.H.1
Osborne, M.R.2
-
5
-
-
34250390476
-
Linear chebyshev approximation without chebyshev sets
-
D.O. Andreassen, G.A. Watson, Linear Chebyshev approximation without Chebyshev sets, BIT 16 (1976) 349-362.
-
(1976)
BIT
, vol.16
, pp. 349-362
-
-
Andreassen, D.O.1
Watson, G.A.2
-
6
-
-
84968492814
-
1 norm problem
-
R.D. Armstrong, J. Godfrey, Two linear programming algorithms for the linear discrete L1 norm problem, Math. Comp. 33 (1979) 289-300.
-
(1979)
Math. Comp.
, vol.33
, pp. 289-300
-
-
Armstrong, R.D.1
Godfrey, J.2
-
7
-
-
0010592205
-
A dual method for discrete Chebyshev curve fitting
-
R.D. Armstrong, D.S. Kung, A dual method for discrete Chebyshev curve fitting, Math. Programming 19 (1979) 186-199.
-
(1979)
Math. Programming
, vol.19
, pp. 186-199
-
-
Armstrong, R.D.1
Kung, D.S.2
-
8
-
-
84976848888
-
Algorithm 495: Solution of an overdetermined system of linear equations in the Chebyshev norm
-
I. Barrodale, C. Phillips, Algorithm 495: solution of an overdetermined system of linear equations in the Chebyshev norm, ACM Trans. Math. Software 1 (1975) 264-270.
-
(1975)
ACM Trans. Math. Software
, vol.1
, pp. 264-270
-
-
Barrodale, I.1
Phillips, C.2
-
10
-
-
0011378371
-
Applications of mathematical programming to lp approximation
-
J.B. Rosen, O.L. Mangasarian, K. Ritter (Eds.), Academic Press, New York
-
I. Barrodale, F.D.K. Roberts, Applications of mathematical programming to lp approximation, in: J.B. Rosen, O.L. Mangasarian, K. Ritter (Eds.), Nonlinear Programming, Academic Press, New York, 1970, pp. 447-464.
-
(1970)
Nonlinear Programming
, pp. 447-464
-
-
Barrodale, I.1
Roberts, F.D.K.2
-
12
-
-
84976801242
-
1 norm
-
I. Barrodale, F.D.K. Roberts, Algorithm 478: solution of an overdetermined system of equations in the L1 norm, Comm. ACM 17 (1974) 319-320.
-
(1974)
Comm. ACM
, vol.17
, pp. 319-320
-
-
Barrodale, I.1
Roberts, F.D.K.2
-
13
-
-
0000657061
-
α linear approximation on a discrete set
-
I. Barrodale, A. Young, Algorithms for best L1 and Lα linear approximation on a discrete set, Numer. Math. 8 (1966) 295-306.
-
(1966)
Numer. Math.
, vol.8
, pp. 295-306
-
-
Barrodale, I.1
Young, A.2
-
14
-
-
84939069707
-
A note on numerical procedures for approximation by spline functions
-
I. Barrodale, A. Young, A note on numerical procedures for approximation by spline functions, Comput. J. 9 (1966) 318-320.
-
(1966)
Comput. J.
, vol.9
, pp. 318-320
-
-
Barrodale, I.1
Young, A.2
-
15
-
-
37849011788
-
1 data fitting
-
J.P. Hennart (Ed.), Springer, Berlin
-
R. Bartels, A.R. Conn, An approach to nonlinear l1 data fitting, in: J.P. Hennart (Ed.), Numerical Analysis, Cocoyoc, 1981, Springer, Berlin, 1982, pp. 48-58.
-
(1981)
Numerical Analysis, Cocoyoc
, vol.1982
, pp. 48-58
-
-
Bartels, R.1
Conn, A.R.2
-
17
-
-
0346019302
-
α sense
-
R. Bartels, A.R. Conn, Y. Li, Primal methods are better than dual methods for solving overdetermined linear systems in the lα sense, SIAM J. Numer. Anal. 26 (1989) 693-726.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 693-726
-
-
Bartels, R.1
Conn, A.R.2
Li, Y.3
-
18
-
-
0000406421
-
1 solution to an overdetermined linear system
-
R. Bartels, A.R. Conn, J.W. Sinclair, Minimization techniques for piecewise differentiable functions: the l1 solution to an overdetermined linear system, SIAM J. Numer. Anal. 15 (1978) 224-241.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 224-241
-
-
Bartels, R.1
Conn, A.R.2
Sinclair, J.W.3
-
19
-
-
0141972662
-
Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations
-
R. Bartels, G.H. Golub, Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations, Comm. ACM. 11 (1968) 401-406.
-
(1968)
Comm. ACM.
, vol.11
, pp. 401-406
-
-
Bartels, R.1
Golub, G.H.2
-
20
-
-
0016061478
-
The fitting of power series, meaning polynomials, illustrated on band-spectrographic data
-
A.E. Beaton, J.W. Tukey, The fitting of power series, meaning polynomials, illustrated on band-spectrographic data, Technometrics 16 (1974) 147-185.
-
(1974)
Technometrics
, vol.16
, pp. 147-185
-
-
Beaton, A.E.1
Tukey, J.W.2
-
22
-
-
34250272559
-
α rational approximation
-
D. Belogus, N. Liron, DCR2: an improved algorithm for lα rational approximation, Numer. Math. 31 (1978) 17-29.
-
(1978)
Numer. Math.
, vol.31
, pp. 17-29
-
-
Belogus, D.1
Liron, N.2
-
24
-
-
84982383194
-
Das austauschverfahren der linearen tschebyscheff-approximation bei nicht erfullter haarscher bedingung
-
L. Bittner, Das Austauschverfahren der linearen Tschebyscheff-Approximation bei nicht erfullter Haarscher Bedingung, Z. Angew. Math. Mech. 41 (1961) 238-256.
-
(1961)
Z. Angew. Math. Mech.
, vol.41
, pp. 238-256
-
-
Bittner, L.1
-
25
-
-
80053468935
-
Exchange algorithms, error estimates and strong unicity in convex programming and Chebyshev approximation
-
S.P. Singh, J.W.H. Burry, B. Watson (Eds.), Reidel, Dodrecht
-
H.-P. Blatt, Exchange algorithms, error estimates and strong unicity in convex programming and Chebyshev approximation, in: S.P. Singh, J.W.H. Burry, B. Watson (Eds.), Approximation Theory and Spline Functions, Reidel, Dodrecht, 1984, pp. 1-41.
-
(1984)
Approximation Theory and Spline Functions
, pp. 1-41
-
-
Blatt, H.-P.1
-
27
-
-
84968464819
-
A new algorithm for the Chebyshev solution of overdetermined linear systems
-
P.T. Boggs, A new algorithm for the Chebyshev solution of overdetermined linear systems, Math. Comp. 28 (1974) 203-217.
-
(1974)
Math. Comp.
, vol.28
, pp. 203-217
-
-
Boggs, P.T.1
-
29
-
-
26444498646
-
Approximation mit exponentialsummen
-
D. Braess, Approximation mit Exponentialsummen, Computing 2 (1967) 309-321.
-
(1967)
Computing
, vol.2
, pp. 309-321
-
-
Braess, D.1
-
30
-
-
24944465029
-
Chebyshev approximation by spline functions with free knots
-
D. Braess, Chebyshev approximation by spline functions with free knots, Numer. Math. 17 (1971) 357-366.
-
(1971)
Numer. Math.
, vol.17
, pp. 357-366
-
-
Braess, D.1
-
31
-
-
4344570120
-
Geometrical characterization for nonlinear uniform approximation
-
D. Braess, Geometrical characterization for nonlinear uniform approximation, J. Approx. Theory 11 (1974) 260-274.
-
(1974)
J. Approx. Theory
, vol.11
, pp. 260-274
-
-
Braess, D.1
-
32
-
-
84948087887
-
A new method for real rational uniform approximation
-
J.C. Mason, M.G. Cox (Eds.), Clarendon Press, Oxford
-
P.T. Breuer, A new method for real rational uniform approximation, in: J.C. Mason, M.G. Cox (Eds.), Algorithms for Approximation, Clarendon Press, Oxford, 1987, pp. 265-283.
-
(1987)
Algorithms for Approximation
, pp. 265-283
-
-
Breuer, P.T.1
-
34
-
-
0018056226
-
An algorithm of successive minimization in convex programming R. A. I. R. O
-
C. Carasso, P.J. Laurent, An algorithm of successive minimization in convex programming, R. A. I. R. O. Numer. Anal. 12 (1978) 377-400.
-
(1978)
Numer. Anal.
, vol.12
, pp. 377-400
-
-
Carasso, C.1
Laurent, P.J.2
-
35
-
-
0001741165
-
Optimal estimation of executive compensation by linear programming
-
A. Charnes, W.W. Cooper, R.O. Ferguson, Optimal estimation of executive compensation by linear programming, Management Sci. 1 (1955) 138-151.
-
(1955)
Management Sci.
, vol.1
, pp. 138-151
-
-
Charnes, A.1
Cooper, W.W.2
Ferguson, R.O.3
-
36
-
-
25444443244
-
Sur les questions de minima qui se rattachent à la representation approximative des fonctions
-
P.L. Chebyshev, Sur les questions de minima qui se rattachent à la representation approximative des fonctions, Oeuvres I (1859) 273-378.
-
(1859)
Oeuvres i
, pp. 273-378
-
-
Chebyshev, P.L.1
-
37
-
-
0000882113
-
Newton's method for convex programming and Tchebycheff approximation
-
E.W. Cheney, A.A. Goldstein, Newton's method for convex programming and Tchebycheff approximation, Numer. Math. 1 (1959) 253-268.
-
(1959)
Numer. Math.
, vol.1
, pp. 253-268
-
-
Cheney, E.W.1
Goldstein, A.A.2
-
38
-
-
0040764163
-
Two new algorithms for rational approximation
-
E.W. Cheney, H.L. Loeb, Two new algorithms for rational approximation, Numer. Math. 3 (1961) 72-75.
-
(1961)
Numer. Math.
, vol.3
, pp. 72-75
-
-
Cheney, E.W.1
Loeb, H.L.2
-
39
-
-
28244487460
-
On rational Chebyshev approximation
-
E.W. Cheney, H.L. Loeb, On rational Chebyshev approximation, Num. Math. 4 (1962) 124-127.
-
(1962)
Num. Math.
, vol.4
, pp. 124-127
-
-
Cheney, E.W.1
Loeb, H.L.2
-
41
-
-
0040764156
-
The differential correction algorithm for generalized rational functions
-
E.W. Cheney, M.J.D. Powell, The differential correction algorithm for generalized rational functions, Constr. Approx. 3 (1987) 249-256.
-
(1987)
Constr. Approx.
, vol.3
, pp. 249-256
-
-
Cheney, E.W.1
Powell, M.J.D.2
-
42
-
-
0000779470
-
A survey of methods for rational approximation with particular reference to a new method based on a formula of Darboux
-
E.W. Cheney, T.H. Southard, A survey of methods for rational approximation, with particular reference to a new method based on a formula of Darboux, SIAM Rev. 5 (1963) 219-231.
-
(1963)
SIAM Rev.
, vol.5
, pp. 219-231
-
-
Cheney, E.W.1
Southard, T.H.2
-
43
-
-
0000364765
-
Robust modelling with erratic data
-
J.F. Claerbout, F. Muir, Robust modelling with erratic data, Geophysics 38 (1973) 826-844.
-
(1973)
Geophysics
, vol.38
, pp. 826-844
-
-
Claerbout, J.F.1
Muir, F.2
-
44
-
-
0000252614
-
The mathematical structure of Huber's M-estimator
-
D.I. Clark, The mathematical structure of Huber's M-estimator, SIAM J. Sci. Statist. Comput. 6 (1985) 209-219.
-
(1985)
SIAM J. Sci. Statist. Comput.
, vol.6
, pp. 209-219
-
-
Clark, D.I.1
-
45
-
-
0016963583
-
A descent method for the uniform solution to overdetermined systems of linear equations
-
A.K. Cline, A descent method for the uniform solution to overdetermined systems of linear equations, SIAM J. Numer. Anal. 13 (1976) 293-309.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 293-309
-
-
Cline, A.K.1
-
46
-
-
34249840880
-
1 problems
-
T.F. Coleman, Y. Li, A globally and quadratically convergent affine scaling algorithm for l1 problems, Math. Programming 56 (1992) 189-222.
-
(1992)
Math. Programming
, vol.56
, pp. 189-222
-
-
Coleman, T.F.1
Li, Y.2
-
47
-
-
0026909510
-
α problems
-
T.F. Coleman, Y. Li, A globally and quadratically convergent method for linear lα problems, SIAM J. Numer. Anal. 29 (1992) 1166-1186.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1166-1186
-
-
Coleman, T.F.1
Li, Y.2
-
48
-
-
0040515675
-
An efficient second order method to solve the (constrained) minimax problem
-
University of Waterloo
-
A.R. Conn, An efficient second order method to solve the (constrained) minimax problem, Report CORR 79-5, University of Waterloo, 1979.
-
(1979)
Report CORR 79-5
-
-
Conn, A.R.1
-
49
-
-
38349161063
-
An efficient algorithm for nonlinear minimax problems
-
University of Waterloo
-
A.R. Conn, Y. Li, An efficient algorithm for nonlinear minimax problems, Research Report CS-88-41, University of Waterloo, 1989.
-
(1989)
Research Report CS-88-41
-
-
Conn, A.R.1
Li, Y.2
-
50
-
-
34250385845
-
Eine klasse von verfahren zur ermittlung bester nichtlinearen tschebyscheff-approximationen
-
L. Cromme, Eine Klasse von Verfahren zur Ermittlung bester nichtlinearen Tschebyscheff-Approximationen, Numer. Math. 25 (1976) 447-459.
-
(1976)
Numer. Math.
, vol.25
, pp. 447-459
-
-
Cromme, L.1
-
51
-
-
0001299358
-
Strong uniqueness: A far reaching criterion for the convergence of iterative processes
-
L. Cromme, Strong uniqueness: a far reaching criterion for the convergence of iterative processes, Numer. Math. 29 (1978) 179-193.
-
(1978)
Numer. Math.
, vol.29
, pp. 179-193
-
-
Cromme, L.1
-
52
-
-
84913726897
-
The construction of minimax rational approximations to functions
-
A.R. Curtis, M.R. Osborne, The construction of minimax rational approximations to functions, Comput. J. 9 (1966) 286-293.
-
(1966)
Comput. J.
, vol.9
, pp. 286-293
-
-
Curtis, A.R.1
Osborne, M.R.2
-
53
-
-
0347893464
-
Linear approximation using the criterion of least total deviations
-
M. Davies, Linear approximation using the criterion of least total deviations, J. Roy. Statist. Soc. Ser. B 29 (1967) 101-109.
-
(1967)
J. Roy. Statist. Soc. Ser. B
, vol.29
, pp. 101-109
-
-
Davies, M.1
-
54
-
-
0001683690
-
p and Chebyshev approximations
-
J. Descloux, Approximations in Lp and Chebyshev approximations, SIAM J. 11 (1963) 1017-1026.
-
(1963)
SIAM J.
, vol.11
, pp. 1017-1026
-
-
Descloux, J.1
-
55
-
-
0039578671
-
Further remarks on the differential correction algorithm
-
S.N. Dua, H.L. Loeb, Further remarks on the differential correction algorithm, SIAM J. Numer. Anal. 10 (1973) 123-126.
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, pp. 123-126
-
-
Dua, S.N.1
Loeb, H.L.2
-
56
-
-
85011454830
-
Interior point algorithms for lsad and lmad estimation
-
Programs in Operations Research and Statistics, Princeton University
-
A.M. Duarte, R.J. Vanderbei, Interior point algorithms for lsad and lmad estimation, Technical Report SOR-94-07, Programs in Operations Research and Statistics, Princeton University, 1994.
-
(1994)
Technical Report SOR-94-07
-
-
Duarte, A.M.1
Vanderbei, R.J.2
-
57
-
-
0018442117
-
Chebyshev approximation by exponential-polynomial sums
-
C.B. Dunham, Chebyshev approximation by exponential-polynomial sums, J. Comput. Appl. Math. 5 (1979) 53-57.
-
(1979)
J. Comput. Appl. Math.
, vol.5
, pp. 53-57
-
-
Dunham, C.B.1
-
58
-
-
49049146739
-
The weakened first algorithm of Remes
-
C.B. Dunham, The weakened first algorithm of Remes, J. Approx. Theory 31 (1981) 97-98.
-
(1981)
J. Approx. Theory
, vol.31
, pp. 97-98
-
-
Dunham, C.B.1
-
59
-
-
0023862315
-
Approximation with one (or few) parameters nonlinear
-
C.B. Dunham, Approximation with one (or few) parameters nonlinear, J. Comput. Appl. Math. 21 (1988) 115-118.
-
(1988)
J. Comput. Appl. Math.
, vol.21
, pp. 115-118
-
-
Dunham, C.B.1
-
61
-
-
0041612548
-
On a new method of reducing observations relating to several quantities
-
F.Y. Edgeworth, On a new method of reducing observations relating to several quantities, Philos. Mag. 5 (1888) 185-191.
-
(1888)
Philos. Mag.
, vol.5
, pp. 185-191
-
-
Edgeworth, F.Y.1
-
62
-
-
30244575229
-
Computational methods for best spline function approximation
-
R.E. Esch, W.L. Eastman, Computational methods for best spline function approximation, J. Approx. Theory 2 (1969) 85-96.
-
(1969)
J. Approx. Theory
, vol.2
, pp. 85-96
-
-
Esch, R.E.1
Eastman, W.L.2
-
63
-
-
0042397134
-
α estimation procedures 1793-1930
-
Y. Dodge (Ed.). North-Holland, Amsterdam
-
R.W. Farebrother, The historical development of the L1 and Lα estimation procedures 1793-1930, in: Y. Dodge (Ed.), Statistical Data Analysis Based on the L1 Norm and Related Methods, North-Holland, Amsterdam, 1987, pp. 37-63.
-
(1987)
1 Norm and Related Methods
, pp. 37-63
-
-
Farebrother, R.W.1
-
65
-
-
0000686712
-
p approximation as p → 1
-
J. Fischer, The convergence of the best discrete linear Lp approximation as p → 1, J. Approx. Theory 39 (1983) 374-385.
-
(1983)
J. Approx. Theory
, vol.39
, pp. 374-385
-
-
Fischer, J.1
-
66
-
-
0043068126
-
A note on curve fitting with minimum deviations by linear programming
-
W.D. Fisher, A note on curve fitting with minimum deviations by linear programming, J. Amer. Statist. Assoc. 56 (1961) 359-362.
-
(1961)
J. Amer. Statist. Assoc.
, vol.56
, pp. 359-362
-
-
Fisher, W.D.1
-
67
-
-
0142013464
-
1 penalty function method
-
O.L. Mangasarian, R.R. Meyer, S.M. Robinson (Eds.). Academic Press, New York
-
R. Fletcher, Numerical experiments with an exact l1 penalty function method, in: O.L. Mangasarian, R.R. Meyer, S.M. Robinson (Eds.), Nonlinear Programming 4, Academic Press, New York, 1981, pp. 99-129.
-
(1981)
Nonlinear Programming
, vol.4
, pp. 99-129
-
-
Fletcher, R.1
-
68
-
-
0003079262
-
1 penalty method for nonlinear constraints
-
P.T. Boggs, R.H. Byrd, R.B. Schnabel (Eds.). SIAM Publications, Philadelphia
-
R. Fletcher, An l1 penalty method for nonlinear constraints, in: P.T. Boggs, R.H. Byrd, R.B. Schnabel (Eds.), Numerical Optimization 1984, SIAM Publications, Philadelphia, 1985, pp. 26-40.
-
(1984)
Numerical Optimization
, pp. 26-40
-
-
Fletcher, R.1
-
70
-
-
70350320653
-
On the computation of rational approximations to continuous functions
-
W. Fraser, J.F. Hart, On the computation of rational approximations to continuous functions, Comm. ACM 5 (1962) 401-403.
-
(1962)
Comm. ACM
, vol.5
, pp. 401-403
-
-
Fraser, W.1
Hart, J.F.2
-
71
-
-
84948122470
-
The efficient computation of linear rank statistics
-
K. George, M.R. Osborne, The efficient computation of linear rank statistics, J. Comput. Simul. 35 (1990) 227-237.
-
(1990)
J. Comput. Simul.
, vol.35
, pp. 227-237
-
-
George, K.1
Osborne, M.R.2
-
72
-
-
49249143536
-
1-Approximierenden
-
K. Glashoff, R. Schultz, Uber die genaue Berechnung von besten L1-Approximierenden, J. Approx. Theory 25 (1979) 280-293.
-
(1979)
J. Approx. Theory
, vol.25
, pp. 280-293
-
-
Glashoff, K.1
Schultz, R.2
-
73
-
-
84976742153
-
Algorithm 414: Chebyshev approximation of continuous functions by a Chebyshev system
-
G.H. Golub, L.B. Smith, Algorithm 414: Chebyshev approximation of continuous functions by a Chebyshev system, Comm. ACM 14 (1971) 737-746.
-
(1971)
Comm. ACM
, vol.14
, pp. 737-746
-
-
Golub, G.H.1
Smith, L.B.2
-
75
-
-
0030534149
-
An algorithm for Chebyshev approximation by rationals with constrained denominators
-
M. Gugat, An algorithm for Chebyshev approximation by rationals with constrained denominators, Constr. Approx. 12 (1996) 197-221.
-
(1996)
Constr. Approx.
, vol.12
, pp. 197-221
-
-
Gugat, M.1
-
76
-
-
0009246690
-
The Newton differential correction algorithm for uniform rational approximation with constrained denominators
-
M. Gugat, The Newton differential correction algorithm for uniform rational approximation with constrained denominators, Numer. Algorithms 13 (1996) 107-122.
-
(1996)
Numer. Algorithms
, vol.13
, pp. 107-122
-
-
Gugat, M.1
-
77
-
-
0014850643
-
On the computational solution of a class of generalized moment problems
-
S.-A. Gustafson, On the computational solution of a class of generalized moment problems, SIAM J. Numer. Anal. 7 (1970) 343-357.
-
(1970)
SIAM J. Numer. Anal.
, vol.7
, pp. 343-357
-
-
Gustafson, S.-A.1
-
78
-
-
0015659199
-
Numerical treatment of a class of semi-infinite programming problems
-
S.-A. Gustafson, K. Kortanek, Numerical treatment of a class of semi-infinite programming problems, Naval. Res. Logist. Quart. 20 (1973) 477-504.
-
(1973)
Naval. Res. Logist. Quart.
, vol.20
, pp. 477-504
-
-
Gustafson, S.-A.1
Kortanek, K.2
-
79
-
-
34250964395
-
Die minkowskische geometrie und die annaherung an stetige funktionen
-
A. Haar, Die Minkowskische Geometrie und die Annaherung an stetige Funktionen, Math. Ann. 78 (1918) 294-311.
-
(1918)
Math. Ann.
, vol.78
, pp. 294-311
-
-
Haar, A.1
-
80
-
-
84948101345
-
A two-stage algorithm for minimax optimization
-
A. Bensoussan, J. Lions (Eds.), Springer, Berlin
-
J. Hald, K. Madsen, A two-stage algorithm for minimax optimization, in: A. Bensoussan, J. Lions (Eds.), International Symposium on Systems Optimization and Analysis, Springer, Berlin, 1979, pp. 225-239.
-
(1979)
International Symposium on Systems Optimization and Analysis
, pp. 225-239
-
-
Hald, J.1
Madsen, K.2
-
81
-
-
0022020045
-
1 optimization
-
J. Hald, K. Madsen, Combined LP and quasi-Newton methods for nonlinear l1 optimization, SIAM J. Numer. Anal. 22 (1985) 68-80.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 68-80
-
-
Hald, J.1
Madsen, K.2
-
82
-
-
0002287136
-
Variable metric methods for minimizing a class of nondifferentiable functions
-
S.-P. Han, Variable metric methods for minimizing a class of nondifferentiable functions, Math. Prog. 20 (1981) 1-13.
-
(1981)
Math. Prog.
, vol.20
, pp. 1-13
-
-
Han, S.-P.1
-
83
-
-
84915562137
-
A Newton method for nonlinear Chebyshev approximation
-
R. Schaback, K. Scherer (Eds.), Springer, Berlin
-
R. Hettich, A Newton method for nonlinear Chebyshev approximation, in: R. Schaback, K. Scherer (Eds.), Approximation Theory, Springer, Berlin, 1976, pp. 222-236.
-
(1976)
Approximation Theory
, pp. 222-236
-
-
Hettich, R.1
-
84
-
-
84912402172
-
Numerical methods for nonlinear Chebyshev approximation
-
G. Meinardus (Ed.), B.I.-Wissenschaftsverlag, Mannheim
-
R. Hettich, Numerical methods for nonlinear Chebyshev approximation in: G. Meinardus (Ed.), Approximation in Theorie und Praxis, B.I.-Wissenschaftsverlag, Mannheim, 1979, pp. 139-156.
-
(1979)
Approximation in Theorie und Praxis
, pp. 139-156
-
-
Hettich, R.1
-
85
-
-
0022700578
-
An implementation of a discretization method for semi-infinite programming
-
R. Hettich, An implementation of a discretization method for semi-infinite programming, Math. Programming 34 (1986) 354-361.
-
(1986)
Math. Programming
, vol.34
, pp. 354-361
-
-
Hettich, R.1
-
86
-
-
0025477881
-
An algorithm for general restricted rational Chebyshev approximation
-
R. Hettich, P. Zenke, An algorithm for general restricted rational Chebyshev approximation, SIAM J. Numer. Anal. 27 (1990) 1024-1033.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 1024-1033
-
-
Hettich, R.1
Zenke, P.2
-
89
-
-
84948074368
-
Certain problems in the theory of closest approximation
-
P.G. Hoel, Certain problems in the theory of closest approximation, Amer. J. Math. 57 (1935) 891-901.
-
(1935)
Amer. J. Math.
, vol.57
, pp. 891-901
-
-
Hoel, P.G.1
-
90
-
-
27644563320
-
A technique that gains speed and accuracy in the minimax solution of overdetermined linear equations
-
J.R. Rice (Ed.). Academic Press, New York
-
M.J. Hopper, M.J.D. Powell, A technique that gains speed and accuracy in the minimax solution of overdetermined linear equations, in: J.R. Rice (Ed.), Mathematical Software III, Academic Press, New York, 1977.
-
(1977)
Mathematical Software III
-
-
Hopper, M.J.1
Powell, M.J.D.2
-
91
-
-
84910177951
-
An iterative Chebyshev approximation method for network design
-
Y. Ishizaki, H. Watanabe, An iterative Chebyshev approximation method for network design, IEEE Trans. Circuit Theory 15 (1968) 326-336.
-
(1968)
IEEE Trans. Circuit Theory
, vol.15
, pp. 326-336
-
-
Ishizaki, Y.1
Watanabe, H.2
-
92
-
-
0001127366
-
Note on a class of polynomials of approximation
-
D. Jackson, Note on a class of polynomials of approximation, Trans. Amer. Math. Soc. 13 (1921) 320-326.
-
(1921)
Trans. Amer. Math. Soc.
, vol.13
, pp. 320-326
-
-
Jackson, D.1
-
93
-
-
84966218993
-
Orthogonality and linear functionals in normed linear spaces
-
R.C. James, Orthogonality and linear functionals in normed linear spaces, Trans. Amer. Math. Soc. 61 (1947) 265-292.
-
(1947)
Trans. Amer. Math. Soc.
, vol.61
, pp. 265-292
-
-
James, R.C.1
-
94
-
-
84966209238
-
An algorithm for computing continuous Chebyshev approximations
-
Z. Jing, A.T. Fam, An algorithm for computing continuous Chebyshev approximations, Math. Comp. 48 (1987) 691-710.
-
(1987)
Math. Comp.
, vol.48
, pp. 691-710
-
-
Jing, Z.1
Fam, A.T.2
-
95
-
-
0004972572
-
Strong uniqueness and second order convergence in nonlinear discrete approximation
-
K. Jittorntrum, M.R. Osborne, Strong uniqueness and second order convergence in nonlinear discrete approximation, Numer. Math. 34 (1980) 439-455.
-
(1980)
Numer. Math.
, vol.34
, pp. 439-455
-
-
Jittorntrum, K.1
Osborne, M.R.2
-
96
-
-
84968502358
-
On monosplines of least deviation
-
R.S. Johnson, On monosplines of least deviation, Trans. Amer. Math. Soc. 96 (1960) 458-477.
-
(1960)
Trans. Amer. Math. Soc.
, vol.96
, pp. 458-477
-
-
Johnson, R.S.1
-
97
-
-
34250076297
-
A projected conjugate gradient method for sparse minimax problems
-
K. Jonasson, A projected conjugate gradient method for sparse minimax problems, Numer. Algorithms 5 (1993) 309-323.
-
(1993)
Numer. Algorithms
, vol.5
, pp. 309-323
-
-
Jonasson, K.1
-
98
-
-
34249771252
-
Corrected sequential linear programming for sparse minimax optimization
-
K. Jonasson, K. Madsen, Corrected sequential linear programming for sparse minimax optimization, BIT 34 (1994) 372-387.
-
(1994)
BIT
, vol.34
, pp. 372-387
-
-
Jonasson, K.1
Madsen, K.2
-
99
-
-
84948098544
-
A Lagrangian method for multivariate continuous Chebyshev approximation problems
-
W. Schempp, K. Zeller (Eds.), I.S.N.M. 61, Birkhaüser, Basel
-
K. Jonasson, G.A. Watson, A Lagrangian method for multivariate continuous Chebyshev approximation problems, in: W. Schempp, K. Zeller (Eds.), Multivariate Approximation Theory 2, I.S.N.M. 61, Birkhaüser, Basel, 1982, pp. 211-221.
-
(1982)
Multivariate Approximation Theory
, vol.2
, pp. 211-221
-
-
Jonasson, K.1
Watson, G.A.2
-
100
-
-
33748641769
-
Equioscillation under nonuniqueness in the approximation of continuous functions
-
R.C. Jones, L.A. Karlovitz, Equioscillation under nonuniqueness in the approximation of continuous functions, J. Approx. Theory 3 (1970) 138-145.
-
(1970)
J. Approx. Theory
, vol.3
, pp. 138-145
-
-
Jones, R.C.1
Karlovitz, L.A.2
-
101
-
-
0017007184
-
Chebyshev approximation of completely monotonic functions by sums of exponentials
-
D.W. Kammler, Chebyshev approximation of completely monotonic functions by sums of exponentials, SIAM J. Numer. Anal. 13 (1976) 761-774.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 761-774
-
-
Kammler, D.W.1
-
102
-
-
51249181779
-
A new polynomial time algorithm for linear programming
-
N. Karmarker, A new polynomial time algorithm for linear programming, Combinatorica 4 (1984) 373-395.
-
(1984)
Combinatorica
, vol.4
, pp. 373-395
-
-
Karmarker, N.1
-
103
-
-
84966216052
-
A combined Remes-Differential Correction algorithm for rational approximation
-
E.H. Kaufmann, D.J. Leeming, G.D. Taylor, A combined Remes-Differential Correction algorithm for rational approximation, Math. Comp. 32 (1978) 233-242.
-
(1978)
Math. Comp.
, vol.32
, pp. 233-242
-
-
Kaufmann, E.H.1
Leeming, D.J.2
Taylor, G.D.3
-
104
-
-
0040764159
-
Uniform approximation by rational functions having restricted denominators
-
E.H. Kaufmann, G.D. Taylor, Uniform approximation by rational functions having restricted denominators, J. Approx. Theory 32 (1981) 9-26.
-
(1981)
J. Approx. Theory
, vol.32
, pp. 9-26
-
-
Kaufmann, E.H.1
Taylor, G.D.2
-
105
-
-
0002777060
-
An application of linear programming to curve fitting
-
J.E. Kelley Jr., An application of linear programming to curve fitting, SIAM J. 6 (1958) 15-22.
-
(1958)
SIAM J.
, vol.6
, pp. 15-22
-
-
Kelley, J.E.1
-
106
-
-
0001087664
-
Uber tchebychefsche annaherungsmethoden
-
P. Kirchberger, Uber Tchebychefsche Annaherungsmethoden, Math. Ann. 57 (1903) 509-540.
-
(1903)
Math. Ann.
, vol.57
, pp. 509-540
-
-
Kirchberger, P.1
-
107
-
-
84912210672
-
Einige satze uber tschebyscheffsche funktionensysteme
-
P. Laasonen, Einige Satze uber Tschebyscheffsche Funktionensysteme, Ann. Acad. Sci. Fenn. Ser. AI 52 (1949) 3-24.
-
(1949)
Ann. Acad. Sci. Fenn. Ser. AI
, vol.52
, pp. 3-24
-
-
Laasonen, P.1
-
108
-
-
84948085823
-
-
Gauthier-Villars Paris
-
E. Laguerre, Ouvres I, Gauthier-Villars, Paris, 1898.
-
(1898)
Ouvres i
-
-
Laguerre, E.1
-
112
-
-
0041467021
-
Characteristic properties of the segmented rational minimax approximation problem
-
C.L. Lawson, Characteristic properties of the segmented rational minimax approximation problem, Num. Math. 6 (1964) 293-301.
-
(1964)
Num. Math.
, vol.6
, pp. 293-301
-
-
Lawson, C.L.1
-
113
-
-
0032222086
-
1 estimator and Huber M-estimator
-
W. Li, J.J. Swetits, The linear l1 estimator and Huber M-estimator, SIAM J. on Optim. 8 (1998) 457-475.
-
(1998)
SIAM J. on Optim.
, vol.8
, pp. 457-475
-
-
Li, W.1
Swetits, J.J.2
-
114
-
-
0011327884
-
A globally convergent method for Lp problems
-
Y. Li, A globally convergent method for Lp problems, SIAM J. Optim. 3 (1993) 609-629.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 609-629
-
-
Li, Y.1
-
115
-
-
0013467366
-
An algorithm for minimax solution of over-determined systems of non-linear equations
-
K. Madsen, An algorithm for minimax solution of over-determined systems of non-linear equations, J. Inst. Math. Appl. 16 (1975) 321-328.
-
(1975)
J. Inst. Math. Appl.
, vol.16
, pp. 321-328
-
-
Madsen, K.1
-
116
-
-
0000024127
-
1 estimation
-
K. Madsen, H.B. Neilsen, A finite smoothing algorithm for linear l1 estimation, SIAM J. Optim. 3 (1993) 223-235.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 223-235
-
-
Madsen, K.1
Neilsen, H.B.2
-
118
-
-
0000529681
-
Methods of fitting rational approximations, Part II
-
H.J. Maehly, Methods of fitting rational approximations, Part II, J. Assoc. Comput. Mach. 10 (1963) 257-266.
-
(1963)
J. Assoc. Comput. Mach.
, vol.10
, pp. 257-266
-
-
Maehly, H.J.1
-
119
-
-
84968483691
-
On Haar's theorem concerning Chebyshev approximation problems having unique solutions
-
J.C. Mairhuber, On Haar's theorem concerning Chebyshev approximation problems having unique solutions, Proc. Amer. Math. Soc. 7 (1956) 609-615.
-
(1956)
Proc. Amer. Math. Soc.
, vol.7
, pp. 609-615
-
-
Mairhuber, J.C.1
-
120
-
-
84948064701
-
1 approximations of continuous functions
-
Birkhauser, Basel
-
J.T. Marti, A method for the numerical computation of best L1 approximations of continuous functions, Proceedings of Oberwolfach Conference, ISNM, Vol. 26, Birkhauser, Basel, 1975.
-
(1975)
Proceedings of Oberwolfach Conference, ISNM
, vol.26
-
-
Marti, J.T.1
-
121
-
-
84935749534
-
Segmented approximation
-
E.W. Cheney (Ed.). Academic Press, New York
-
H.W. McLaughlin, J.J. Zacharski, Segmented approximation, in: E.W. Cheney (Ed.), Approximation Theory III, Academic Press, New York, 1980, pp. 647-654.
-
(1980)
Approximation Theory III
, pp. 647-654
-
-
McLaughlin, H.W.1
Zacharski, J.J.2
-
122
-
-
84936545988
-
1 approximation problems
-
Birkhauser, Basel
-
R.A. McLean, G.A. Watson, Numerical methods for nonlinear discrete L1 approximation problems, Proceedings of Oberwolfach Conference on Numerical Methods in Approximation Theory 1979, ISNM, Vol. 52, Birkhauser, Basel, 1980.
-
(1980)
Proceedings of Oberwolfach Conference on Numerical Methods in Approximation Theory 1979, ISNM
, vol.52
-
-
McLean, R.A.1
Watson, G.A.2
-
123
-
-
0000561116
-
On the implementation of a primal-dual interior point method
-
S. Mehrotra, On the implementation of a primal-dual interior point method, SIAM J. Optim. 2 (1992) 575-601.
-
(1992)
SIAM J. Optim.
, vol.2
, pp. 575-601
-
-
Mehrotra, S.1
-
124
-
-
84968470175
-
Algorithms for piecewise polynomials and splines with free knots
-
G. Meinardus, G. Nürnberger, M. Sommer, H. Strauss, Algorithms for piecewise polynomials and splines with free knots, Math. Comp. 53 (1989) 235-247.
-
(1989)
Math. Comp.
, vol.53
, pp. 235-247
-
-
Meinardus, G.1
Nürnberger, G.2
Sommer, M.3
Strauss, H.4
-
127
-
-
0004140099
-
-
Technical Report, AT&T Bell Laboratories, Murray Hill, New Jersey
-
M.S. Meketon, Least absolute value regression, Technical Report, AT&T Bell Laboratories, Murray Hill, New Jersey, 1987.
-
(1987)
Least Absolute Value Regression
-
-
Meketon, M.S.1
-
128
-
-
0015967278
-
Computational experience with discrete Lp approximation
-
G. Merle, H. Späth, Computational experience with discrete Lp approximation, Computing 12 (1974) 315-321.
-
(1974)
Computing
, vol.12
, pp. 315-321
-
-
Merle, G.1
Späth, H.2
-
129
-
-
0041024643
-
1 approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines
-
C.A. Micchelli, Best L1 approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines, J. Approx. Theory 19 (1977) 1-14.
-
(1977)
J. Approx. Theory
, vol.19
, pp. 1-14
-
-
Micchelli, C.A.1
-
130
-
-
33646874259
-
Approximation by curves of a unisolvent family
-
T.S. Motzkin, Approximation by curves of a unisolvent family, Bull. Amer. Math. Soc. 55 (1949) 789-793.
-
(1949)
Bull. Amer. Math. Soc.
, vol.55
, pp. 789-793
-
-
Motzkin, T.S.1
-
131
-
-
84912245807
-
Least pth power polynomials on a real finite point set
-
T.S. Motzkin, J.L. Walsh, Least pth power polynomials on a real finite point set, Trans. Amer. Math. Soc. 78 (1955) 67-81.
-
(1955)
Trans. Amer. Math. Soc.
, vol.78
, pp. 67-81
-
-
Motzkin, T.S.1
Walsh, J.L.2
-
132
-
-
84967728448
-
Least pth power polynomials on a finite point set
-
T.S. Motzkin, J.L. Walsh, Least pth power polynomials on a finite point set, Trans. Amer. Math. Soc. 83 (1956) 371-396.
-
(1956)
Trans. Amer. Math. Soc.
, vol.83
, pp. 371-396
-
-
Motzkin, T.S.1
Walsh, J.L.2
-
133
-
-
4244111060
-
Optimal starting values for Newton-Raphson calculation of √x
-
D.G. Moursund, Optimal starting values for Newton-Raphson calculation of √x, Comm. ACM 10 (1967) 430-432.
-
(1967)
Comm. ACM
, vol.10
, pp. 430-432
-
-
Moursund, D.G.1
-
134
-
-
0007235458
-
Chebyshev approximation by spline functions with free knots
-
B. Mulansky, Chebyshev approximation by spline functions with free knots, IMA J. Numer. Anal. 12 (1992) 95-105.
-
(1992)
IMA J. Numer. Anal.
, vol.12
, pp. 95-105
-
-
Mulansky, B.1
-
135
-
-
0003412346
-
A projected Lagrangian algorithm for nonlinear minimax optimization
-
W. Murray, M.L. Overton, A projected Lagrangian algorithm for nonlinear minimax optimization, SIAM J. Sci. Statist. Comput. 1 (1980) 345-370.
-
(1980)
SIAM J. Sci. Statist. Comput.
, vol.1
, pp. 345-370
-
-
Murray, W.1
Overton, M.L.2
-
137
-
-
0007287734
-
Strongly unique spline approximation with free knots
-
G. Nürnberger, Strongly unique spline approximation with free knots, Constr. Approx. 3 (1987) 31-42.
-
(1987)
Constr. Approx.
, vol.3
, pp. 31-42
-
-
Nürnberger, G.1
-
138
-
-
0011548702
-
Approximation by univariate and bivariate splines
-
D. Bainov, V. Covachev (Eds.), VSP, Utrecht
-
G. Nürnberger, Approximation by univariate and bivariate splines, in: D. Bainov, V. Covachev (Eds.), Second International Colloquium on Numerical Analysis, VSP, Utrecht, 1994, pp. 143-153.
-
(1994)
Second International Colloquium on Numerical Analysis
, pp. 143-153
-
-
Nürnberger, G.1
-
139
-
-
0040749593
-
Bivariate segment approximation and free knot splines: Research problems 96-4
-
G. Nürnberger, Bivariate segment approximation and free knot splines: research problems 96-4, Constr. Approx. 12 (1996) 555-558.
-
(1996)
Constr. Approx.
, vol.12
, pp. 555-558
-
-
Nürnberger, G.1
-
140
-
-
84948106257
-
Optimal partitions in bivariate segment approximation
-
A. Le Méhauté, C. Rabut, L.L. Schumaker (Eds.), Vanderbilt University Press, Nashville
-
G. Nürnberger, Optimal partitions in bivariate segment approximation, in: A. Le Méhauté, C. Rabut, L.L. Schumaker (Eds.), Surface Fitting and Multiresolution Methods, Vanderbilt University Press, Nashville, 1997, pp. 271-278.
-
(1997)
Surface Fitting and Multiresolution Methods
, pp. 271-278
-
-
Nürnberger, G.1
-
141
-
-
0022082442
-
Approximation by generalized splines
-
G. Nürnberger, L.L. Schumaker, M. Sommer, H. Strauss, Approximation by generalized splines, J. Math. Anal. Appl. 108 (1985) 466-494.
-
(1985)
J. Math. Anal. Appl.
, vol.108
, pp. 466-494
-
-
Nürnberger, G.1
Schumaker, L.L.2
Sommer, M.3
Strauss, H.4
-
142
-
-
38249026453
-
Uniform approximation by generalized splines with free knots
-
G. Nürnberger, L.L. Schumaker, M. Sommer, H. Strauss, Uniform approximation by generalized splines with free knots, J. Approx. Theory 59 (1989) 150-169.
-
(1989)
J. Approx. Theory
, vol.59
, pp. 150-169
-
-
Nürnberger, G.1
Schumaker, L.L.2
Sommer, M.3
Strauss, H.4
-
143
-
-
0020205828
-
Uniqueness and strong uniqueness of best approximations by spline subspaces and other spaces
-
G. Nürnberger, I. Singer, Uniqueness and strong uniqueness of best approximations by spline subspaces and other spaces, J. Math. Anal. Appl. 90 (1982) 171-184.
-
(1982)
J. Math. Anal. Appl.
, vol.90
, pp. 171-184
-
-
Nürnberger, G.1
Singer, I.2
-
144
-
-
4244159204
-
A Remez type algorithm for spline functions
-
G. Nürnberger, M. Sommer, A Remez type algorithm for spline functions, Numer. Math. 41 (1983) 117-146.
-
(1983)
Numer. Math.
, vol.41
, pp. 117-146
-
-
Nürnberger, G.1
Sommer, M.2
-
146
-
-
84948092894
-
An algorithm for discrete, nonlinear best approximation problems
-
Birkhauser, Basel
-
M.R. Osborne, An algorithm for discrete, nonlinear best approximation problems, Proceedings of Oberwolfach Conference on ISNM, Vol. 16, Birkhauser, Basel, 1971.
-
(1971)
Proceedings of Oberwolfach Conference on ISNM
, vol.16
-
-
Osborne, M.R.1
-
148
-
-
2142813443
-
The reduced gradient algorithm
-
Y. Dodge (Ed.), North-Holland, Amsterdam
-
M.R. Osborne, The reduced gradient algorithm, in: Y. Dodge (Ed.), Statistical Data Analysis Based on the L1 Norm and Related Methods, North-Holland, Amsterdam, 1987, pp. 95-107.
-
(1987)
1 Norm and Related Methods
, pp. 95-107
-
-
Osborne, M.R.1
-
149
-
-
27644502183
-
On the best linear Chebyshev approximation
-
M.R. Osborne, G.A. Watson, On the best linear Chebyshev approximation, Comput. J. 10 (1967) 172-177.
-
(1967)
Comput. J.
, vol.10
, pp. 172-177
-
-
Osborne, M.R.1
Watson, G.A.2
-
150
-
-
0003412348
-
An algorithm for minimax approximation in the nonlinear case
-
M.R. Osborne, G.A. Watson, An algorithm for minimax approximation in the nonlinear case, Comput. J. 12 (1969) 63-68.
-
(1969)
Comput. J.
, vol.12
, pp. 63-68
-
-
Osborne, M.R.1
Watson, G.A.2
-
151
-
-
49849121519
-
A note on singular minimax approximation problems
-
M.R. Osborne, G.A. Watson, A note on singular minimax approximation problems, J. Math. Anal. Appl. 25 (1969) 692-700.
-
(1969)
J. Math. Anal. Appl.
, vol.25
, pp. 692-700
-
-
Osborne, M.R.1
Watson, G.A.2
-
152
-
-
0040518506
-
1 approximation
-
M.R. Osborne, G.A. Watson, On an algorithm for discrete nonlinear L1 approximation, Comput. J. 14 (1971) 184-188.
-
(1971)
Comput. J.
, vol.14
, pp. 184-188
-
-
Osborne, M.R.1
Watson, G.A.2
-
153
-
-
84912397754
-
Nonlinear approximation problems in vector norms
-
G.A. Watson (Ed.), Springer, Berlin
-
M.R. Osborne, G.A. Watson, Nonlinear approximation problems in vector norms, in: G.A. Watson (Ed.), Proceedings of Dundee Numerical Analysis Conference, Springer, Berlin, 1978.
-
(1978)
Proceedings of Dundee Numerical Analysis Conference
-
-
Osborne, M.R.1
Watson, G.A.2
-
154
-
-
84948064996
-
1 fitting problems
-
D.F. Griffiths, G.A. Watson (Eds.), World Scientific Publishing Co, Singapore
-
M.R. Osborne, G.A. Watson, Aspects of M-estimation and l1 fitting problems, in: D.F. Griffiths, G.A. Watson (Eds.), Numerical Analysis: A R Mitchell 75th Birthday Volume, World Scientific Publishing Co, Singapore, 1996, pp. 247-261.
-
(1996)
Numerical Analysis: A R Mitchell 75th Birthday Volume
, pp. 247-261
-
-
Osborne, M.R.1
Watson, G.A.2
-
155
-
-
1842836226
-
Uniform piecewise polynomial approximation with variable joints
-
T. Pavlidis, A.P. Maika, Uniform piecewise polynomial approximation with variable joints, J. Approx. Theory 12 (1974) 61-69.
-
(1974)
J. Approx. Theory
, vol.12
, pp. 61-69
-
-
Pavlidis, T.1
Maika, A.P.2
-
156
-
-
0009186880
-
Sur une algorithme toujours convergent pour obtenir les polynomes de meillure approximation de Tchebysheff pour une fonction continue quelconque
-
G. Polya, Sur une algorithme toujours convergent pour obtenir les polynomes de meillure approximation de Tchebysheff pour une fonction continue quelconque, Comptes Rendues 157 (1913) 840-843.
-
(1913)
Comptes Rendues
, vol.157
, pp. 840-843
-
-
Polya, G.1
-
157
-
-
0000976724
-
The Gaussian hare and the Laplacian tortoise: Computability of squared-error versus absolute-error estimators
-
S. Portnoy, R. Koenker, The Gaussian hare and the Laplacian tortoise: computability of squared-error versus absolute-error estimators, Statist. Sci. 12 (1997) 279-296.
-
(1997)
Statist. Sci.
, vol.12
, pp. 279-296
-
-
Portnoy, S.1
Koenker, R.2
-
159
-
-
0030242545
-
Numerical experiments in semi-infinite programming problems
-
C.J. Price, I.D. Coope, Numerical experiments in semi-infinite programming problems, Comput. Optim. Appl. 6 (1996) 169-189.
-
(1996)
Comput. Optim. Appl.
, vol.6
, pp. 169-189
-
-
Price, C.J.1
Coope, I.D.2
-
160
-
-
27144528941
-
Rational Chebyshev approximation by Remes algorithms
-
A. Ralston, Rational Chebyshev approximation by Remes algorithms, Numer. Math. 7 (1965) 322-330.
-
(1965)
Numer. Math.
, vol.7
, pp. 322-330
-
-
Ralston, A.1
-
161
-
-
77958404161
-
Some aspects of degeneracy in rational approximation
-
A. Ralston, Some aspects of degeneracy in rational approximation, JIMA 11 (1973) 157-170.
-
(1973)
JIMA
, vol.11
, pp. 157-170
-
-
Ralston, A.1
-
162
-
-
0025414494
-
Modifications of the first Remez algorithm
-
R. Reemtsen, Modifications of the first Remez algorithm, SIAM J. Numer. Anal. 27 (1990) 507-518.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 507-518
-
-
Reemtsen, R.1
-
163
-
-
0026237216
-
Discretization methods for the solution of semi-infinite programming problems
-
R. Reemtsen, Discretization methods for the solution of semi-infinite programming problems, J. Optim. Theory Appl. 71 (1991) 85-103.
-
(1991)
J. Optim. Theory Appl.
, vol.71
, pp. 85-103
-
-
Reemtsen, R.1
-
164
-
-
0000385980
-
Numerical methods for semi-infinite programming: A survey
-
R. Reemtsen, J.-J. Ruckman (Eds.), Kluwer Academic Publishers, Boston
-
R. Reemtsen, S. Görner, Numerical methods for semi-infinite programming: a survey, in: R. Reemtsen, J.-J. Ruckman (Eds.), Semi-Infinite Programming, Kluwer Academic Publishers, Boston, 1998, pp. 195-275.
-
(1998)
Semi-Infinite Programming
, pp. 195-275
-
-
Reemtsen, R.1
Görner, S.2
-
165
-
-
21644454871
-
Sur un procédé convergent d'approximation sucessives pour déterminer les polynomes d'approximation
-
E.YA. Remes, Sur un procédé convergent d'approximation sucessives pour déterminer les polynomes d'approximation, Comptes Rendues 198 (1934) 2063-2065.
-
(1934)
Comptes Rendues
, vol.198
, pp. 2063-2065
-
-
Remes, E.Ya.1
-
166
-
-
0040378542
-
Sur le calcul effectif des polynomes d'approximation de Tchebichef
-
E.YA. Remes, Sur le calcul effectif des polynomes d'approximation de Tchebichef, Comptes Rendues 199 (1934) 337-340.
-
(1934)
Comptes Rendues
, vol.199
, pp. 337-340
-
-
Remes, E.Ya.1
-
167
-
-
21844449098
-
Reducing observations by the method of minimum deviations
-
E.C. Rhodes, Reducing observations by the method of minimum deviations, Philos. Mag. 9 (1930) 974-992.
-
(1930)
Philos. Mag.
, vol.9
, pp. 974-992
-
-
Rhodes, E.C.1
-
168
-
-
84913122941
-
The characterization of best nonlinear Tchebycheff approximation
-
J.R. Rice, The characterization of best nonlinear Tchebycheff approximation, Trans. Amer. Math. Soc. 96 (1960) 322-340.
-
(1960)
Trans. Amer. Math. Soc.
, vol.96
, pp. 322-340
-
-
Rice, J.R.1
-
169
-
-
70350330563
-
x + c
-
x + c, J. SIAM 10 (1960) 691-702.
-
(1960)
J. SIAM
, vol.10
, pp. 691-702
-
-
Rice, J.R.1
-
170
-
-
0347830646
-
Tchebycheff approximation by functions unisolvent of variable degree
-
J.R. Rice, Tchebycheff approximation by functions unisolvent of variable degree, Trans. Amer. Math. Soc. 99 (1961) 298-302.
-
(1961)
Trans. Amer. Math. Soc.
, vol.99
, pp. 298-302
-
-
Rice, J.R.1
-
171
-
-
70350317549
-
Chebyshev approximation by exponentials
-
J.R. Rice, Chebyshev approximation by exponentials, J. SIAM 10 (1962) 149-161.
-
(1962)
J. SIAM
, vol.10
, pp. 149-161
-
-
Rice, J.R.1
-
172
-
-
0004292638
-
-
Addison-Wesley, Reading, MA
-
J.R. Rice, The Approximation of Functions, Vol. I, Addison-Wesley, Reading, MA, 1964.
-
(1964)
The Approximation of Functions
, vol.1
-
-
Rice, J.R.1
-
173
-
-
0041017928
-
Characterization of Chebyshev approximation by splines
-
J.R. Rice, Characterization of Chebyshev approximation by splines, SIAM J. Math. Anal. 4 (1967) 557-567.
-
(1967)
SIAM J. Math. Anal.
, vol.4
, pp. 557-567
-
-
Rice, J.R.1
-
174
-
-
0002511013
-
Uber lineare Funktionalgleichungen
-
F. Riesz, Uber lineare Funktionalgleichungen, Acta. Math. 41 (1918) 71-98.
-
(1918)
Acta. Math.
, vol.41
, pp. 71-98
-
-
Riesz, F.1
-
175
-
-
11744366836
-
1 approximation problems
-
P.D. Robers, A. Ben-Israel, An interval programming algorithm for discrete linear L1 approximation problems, J. Approx. Theory 2 (1969) 323-331.
-
(1969)
J. Approx. Theory
, vol.2
, pp. 323-331
-
-
Robers, P.D.1
Ben-Israel, A.2
-
176
-
-
84976697906
-
1 approximation by interval linear programming
-
P.D. Robers, S.S. Robers, Algorithm 458: discrete linear L1 approximation by interval linear programming, Comm. ACM 16 (1973) 629-631.
-
(1973)
Comm. ACM
, vol.16
, pp. 629-631
-
-
Robers, P.D.1
Robers, S.S.2
-
177
-
-
84948086924
-
Die numerische Berechnung von Startnaherungen bei der Exponentialapproximation
-
L. Collatz, G. Meinardus, H. Werner (Eds.), Birkhauser, Basel
-
H. Robitzsch, R. Schaback, Die numerische Berechnung von Startnaherungen bei der Exponentialapproximation, in: L. Collatz, G. Meinardus, H. Werner (Eds.), Numerical Methods of Approximation Theory, ISNM, Vol. 42, Birkhauser, Basel, 1978, pp. 260-280.
-
(1978)
Numerical Methods of Approximation Theory, ISNM
, vol.42
, pp. 260-280
-
-
Robitzsch, H.1
Schaback, R.2
-
180
-
-
0039239517
-
Uniform approximation by Tchebycheffian spline functions
-
L.L. Schumaker, Uniform approximation by Tchebycheffian spline functions, J. Math. Mech. 18 (1968) 369-378.
-
(1968)
J. Math. Mech.
, vol.18
, pp. 369-378
-
-
Schumaker, L.L.1
-
181
-
-
0013036659
-
Some algorithms for the computation of interpolating and approximating spline functions
-
T.N.E. Greville (Ed.), Academic Press, New York
-
L.L. Schumaker, Some algorithms for the computation of interpolating and approximating spline functions, in: T.N.E. Greville (Ed.), Theory and Applications of Spline Functions, Academic Press, New York, 1969, pp. 87-102.
-
(1969)
Theory and Applications of Spline Functions
, pp. 87-102
-
-
Schumaker, L.L.1
-
182
-
-
21844449876
-
A method for minimizing the sum of absolute values of deviations
-
R.R. Singleton, A method for minimizing the sum of absolute values of deviations, Ann. Math. Statist. 11 (1940) 301-310.
-
(1940)
Ann. Math. Statist.
, vol.11
, pp. 301-310
-
-
Singleton, R.R.1
-
184
-
-
0002187145
-
Uber diskrete und lineare tschebyscheff- approximationen
-
E.L. Stiefel, Uber diskrete und lineare Tschebyscheff- Approximationen, Numer. Math. 1 (1959) 1-28.
-
(1959)
Numer. Math.
, vol.1
, pp. 1-28
-
-
Stiefel, E.L.1
-
185
-
-
33746816918
-
Note on Jordan elimination, linear programming and Tchebyscheff approximation
-
E.L. Stiefel, Note on Jordan elimination, linear programming and Tchebyscheff approximation, Numer. Math. 2 (1960) 1-17.
-
(1960)
Numer. Math.
, vol.2
, pp. 1-17
-
-
Stiefel, E.L.1
-
186
-
-
34247195298
-
A direct method for Chebyshev approximation by rational functions
-
J. Stoer, A direct method for Chebyshev approximation by rational functions, J. Assoc. Comput. Mach. 1 (1964) 59-69.
-
(1964)
J. Assoc. Comput. Mach.
, vol.1
, pp. 59-69
-
-
Stoer, J.1
-
187
-
-
84947680817
-
On n-parameter families of functions and associated convex functions
-
L. Tornheim, On n-parameter families of functions and associated convex functions, Trans. Amer. Math. Soc. 69 (1950) 457-467.
-
(1950)
Trans. Amer. Math. Soc.
, vol.69
, pp. 457-467
-
-
Tornheim, L.1
-
188
-
-
36249006364
-
1 approximation I: Computation for continuous functions and continuous dependence
-
K.N. Usow, On L1 approximation I: computation for continuous functions and continuous dependence, SIAM J. Numer. Anal. 4 (1967) 70-88.
-
(1967)
SIAM J. Numer. Anal.
, vol.4
, pp. 70-88
-
-
Usow, K.N.1
-
189
-
-
34249304582
-
1 approximation II: Computation for discrete functions and discretization effects
-
K.N. Usow, On L1 approximation II: computation for discrete functions and discretization effects, SIAM J. Numer. Anal. 4 (1967) 233-244.
-
(1967)
SIAM J. Numer. Anal.
, vol.4
, pp. 233-244
-
-
Usow, K.N.1
-
190
-
-
4243437485
-
Sur la methode de l'approximation minimum
-
C.J. de la Vallée Poussin, Sur la methode de l'approximation minimum, Societe Scientifique de Bruxelles, Annales, Memoires, Vol. 35, 1911, pp. 1-16.
-
(1911)
Societe Scientifique de Bruxelles, Annales, Memoires
, vol.35
, pp. 1-16
-
-
De La Vallée Poussin, C.J.1
-
191
-
-
0005826234
-
On the numerical determination of the best approximations in the Chebyshev sense
-
L. Veidinger, On the numerical determination of the best approximations in the Chebyshev sense, Num. Math. 2 (1960) 99-105.
-
(1960)
Num. Math.
, vol.2
, pp. 99-105
-
-
Veidinger, L.1
-
192
-
-
0001351879
-
Linear programming techniques for regression analysis
-
H.M. Wagner, Linear programming techniques for regression analysis, J. Amer. Statist. Assoc. 54 (1959) 206-212.
-
(1959)
J. Amer. Statist. Assoc.
, vol.54
, pp. 206-212
-
-
Wagner, H.M.1
-
193
-
-
0010260114
-
The existence of rational functions of best approximation
-
J.L. Walsh, The existence of rational functions of best approximation, Trans. Amer. Math. Soc. 33 (1931) 668-689.
-
(1931)
Trans. Amer. Math. Soc.
, vol.33
, pp. 668-689
-
-
Walsh, J.L.1
-
194
-
-
0016482717
-
A multiple exchange algorithm for multivariate Chebyshev approximation
-
G.A. Watson, A multiple exchange algorithm for multivariate Chebyshev approximation, SIAM J. Numer. Anal. 12 (1975) 46-52.
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, pp. 46-52
-
-
Watson, G.A.1
-
195
-
-
77958398370
-
A method for calculating best nonlinear Chebyshev approximations
-
G.A. Watson, A method for calculating best nonlinear Chebyshev approximations, JIMA 18 (1976) 351-360.
-
(1976)
JIMA
, vol.18
, pp. 351-360
-
-
Watson, G.A.1
-
196
-
-
34250293925
-
On two methods for discrete Lp approximation
-
G.A. Watson, On two methods for discrete Lp approximation, Computing 18 (1977) 263-266.
-
(1977)
Computing
, vol.18
, pp. 263-266
-
-
Watson, G.A.1
-
197
-
-
84948064844
-
On a class of methods for nonlinear approximation problems
-
D.C. Handscomb (Ed.), Academic Press, London
-
G.A. Watson, On a class of methods for nonlinear approximation problems, in: D.C. Handscomb (Ed.), Multivariate Approximation, Academic Press, London, 1978, pp. 219-227.
-
(1978)
Multivariate Approximation
, pp. 219-227
-
-
Watson, G.A.1
-
198
-
-
0343587913
-
The minimax solution of an overdetermined system of nonlinear equations
-
G.A. Watson, The minimax solution of an overdetermined system of nonlinear equations, JIMA 23 (1979) 167-180.
-
(1979)
JIMA
, vol.23
, pp. 167-180
-
-
Watson, G.A.1
-
200
-
-
0344713360
-
1 approximation of continuous functions
-
G.A. Watson, An algorithm for linear L1 approximation of continuous functions, IMA J. Numer. Anal. 1 (1981) 157-167.
-
(1981)
IMA J. Numer. Anal.
, vol.1
, pp. 157-167
-
-
Watson, G.A.1
-
201
-
-
84946393108
-
Uber gleichungssysteme der tschebysheffschen approximation
-
F. Wenzl, Uber Gleichungssysteme der Tschebysheffschen Approximation, Z. Angew. Math. Mech. 34 (1954) 385-391.
-
(1954)
Z. Angew. Math. Mech.
, vol.34
, pp. 385-391
-
-
Wenzl, F.1
-
202
-
-
34250941400
-
Die konstruktive errmittlung der tschebyscheff-approximation in bereich der rationalen funktionen
-
H. Werner, Die konstruktive Errmittlung der Tschebyscheff-Approximation in Bereich der rationalen Funktionen, Arch. Rational Mech. Anal. 11 (1962) 368-384.
-
(1962)
Arch. Rational Mech. Anal.
, vol.11
, pp. 368-384
-
-
Werner, H.1
-
203
-
-
33747784026
-
Rationale-tschebyscheff-approximation eigenwerttheorie und differenzenrechnung
-
H. Werner, Rationale-Tschebyscheff-Approximation, Eigenwerttheorie und Differenzenrechnung, Arch. Rational Mech. Anal. 13 (1963) 330-347.
-
(1963)
Arch. Rational Mech. Anal.
, vol.13
, pp. 330-347
-
-
Werner, H.1
-
204
-
-
84910349016
-
Der existenzsatz fur das tschebyscheffsdhe approximationsproblem mit exponenttialsummen
-
L. Collatz, H. Unger (Eds.). Birkhauser, Basel
-
H. Werner, Der Existenzsatz fur das Tschebyscheffsdhe Approximationsproblem mit Exponenttialsummen, in: L. Collatz, H. Unger (Eds.), Funktionalanalytische Methoden der numerischen Mathematik, ISNM, Vol. 12, Birkhauser, Basel, 1969, pp. 133-143.
-
(1969)
Funktionalanalytische Methoden der Numerischen Mathematik, ISNM
, vol.12
, pp. 133-143
-
-
Werner, H.1
-
205
-
-
84910322477
-
Tschebysheff-Approximation with sums of exponentials
-
A. Talbot (Ed.), Academic Press, London
-
H. Werner, Tschebysheff-Approximation with sums of exponentials, in: A. Talbot (Ed.), Approximation Theory, Academic Press, London, 1969, pp. 109-134.
-
(1969)
Approximation Theory
, pp. 109-134
-
-
Werner, H.1
-
206
-
-
0008368994
-
On the convergence of an algorithm for discrete Lp approximation
-
J.M. Wolfe, On the convergence of an algorithm for discrete Lp approximation, Numer. Math. 32 (1979) 439-459.
-
(1979)
Numer. Math.
, vol.32
, pp. 439-459
-
-
Wolfe, J.M.1
-
207
-
-
0022677532
-
An algorithm for composite nonsmooth optimization problems
-
R.S. Womersley, R. Fletcher, An algorithm for composite nonsmooth optimization problems, J. Optim. Theory Appl. 48 (1986) 493-523.
-
(1986)
J. Optim. Theory Appl.
, vol.48
, pp. 493-523
-
-
Womersley, R.S.1
Fletcher, R.2
-
208
-
-
0002250131
-
General theory of approximation by functions involving a given number of arbitrary parameters
-
J.W. Young, General theory of approximation by functions involving a given number of arbitrary parameters, Trans. Amer. Math. Soc. 8 (1907) 331-344.
-
(1907)
Trans. Amer. Math. Soc.
, vol.8
, pp. 331-344
-
-
Young, J.W.1
-
209
-
-
0027591104
-
α solutions of overdetermined linear systems
-
Y. Zhang, A primal-dual interior point approach for computing the l1 and lα solutions of overdetermined linear systems, J. Optim. Theory and Appl. 77 (1993) 323-341.
-
(1993)
J. Optim. Theory and Appl.
, vol.77
, pp. 323-341
-
-
Zhang, Y.1
-
210
-
-
0030303851
-
An SQP algorithm for finitely discretized continuous minimax optimization problems and other minimax problems with many objective functions
-
J.J. Zhou, A.L. Tits, An SQP algorithm for finitely discretized continuous minimax optimization problems and other minimax problems with many objective functions, SIAM J. Optim. 6 (1996) 461-487.
-
(1996)
SIAM J. Optim.
, vol.6
, pp. 461-487
-
-
Zhou, J.J.1
Tits, A.L.2
-
211
-
-
0347888260
-
-
(Translated from the 1964 Russian edition), Saunders Co., Philadelphia
-
S.I. Zuhovickii, L.I. Avdeyeva, Linear and Convex Programming, (Translated from the 1964 Russian edition), Saunders Co., Philadelphia, 1966.
-
Linear and Convex Programming
, vol.1966
-
-
Zuhovickii, S.I.1
Avdeyeva, L.I.2
-
212
-
-
84931108608
-
An algorithm for the solution of the problem of Cebysev approximation
-
S.I. Zuhovickii, R.A. Poljak, M.E. Primak, An algorithm for the solution of the problem of Cebysev approximation, Soviet. Math. Dokl. 4 (1963) 901-904.
-
(1963)
Soviet. Math. Dokl.
, vol.4
, pp. 901-904
-
-
Zuhovickii, S.I.1
Poljak, R.A.2
Primak, M.E.3
|