-
1
-
-
0039934452
-
An improved algorithm for discrete Chebyshev linear approximation
-
(Hartnell B. L. and Williams H. C., eds), University of Manitoba (Winnipeg, Canada)
-
Barrodale I. and Phillips C. (1975), An improved algorithm for discrete Chebyshev linear approximation, in Proc. 4th Manitoba Conf. on Numer. Math. (Hartnell B. L. and Williams H. C., eds), University of Manitoba (Winnipeg, Canada), pp. 177–190.
-
(1975)
Proc. 4th Manitoba Conf. on Numer. Math.
, pp. 177-190
-
-
Barrodale, I.1
Phillips, C.2
-
7
-
-
0001470835
-
A stable and efficient algorithm for nonlinear orthogonal distance regression
-
Boggs P. T., Byrd R. H. and Schnabel R. B. (1987), ‘A stable and efficient algorithm for nonlinear orthogonal distance regression’, SIAM J. Sci. Statist. Comput. 8, 1052–1078.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
, pp. 1052-1078
-
-
Boggs, P.T.1
Byrd, R.H.2
Schnabel, R.B.3
-
8
-
-
0024885851
-
ODRPACK, Software for weighted orthogonal distance regression
-
Boggs P. T., Byrd R. H., Donaldson J. R. and Schnabel R. B. (1989), ‘ODRPACK, Software for weighted orthogonal distance regression’, ACM Trans. Math. Software 15, 348–364.
-
(1989)
ACM Trans. Math. Software
, vol.15
, pp. 348-364
-
-
Boggs, P.T.1
Byrd, R.H.2
Donaldson, J.R.3
Schnabel, R.B.4
-
10
-
-
24944465029
-
Chebyshev approximation by spline functions with free knots
-
Braess D. (1971), ‘Chebyshev approximation by spline functions with free knots’, Numer. Math. 17, 357–366.
-
(1971)
Numer. Math.
, vol.17
, pp. 357-366
-
-
Braess, D.1
-
11
-
-
84948087887
-
A new method for real rational uniform approximation
-
(Mason J. C. and Cox M. G., eds), Clarendon Press, Oxford
-
Breuer P. T. (1987), A new method for real rational uniform approximation, in Algorithms for Approximation (Mason J. C. and Cox M. G., eds), Clarendon Press, Oxford, pp. 265–283.
-
(1987)
Algorithms for Approximation
, pp. 265-283
-
-
Breuer, P.T.1
-
12
-
-
85011444523
-
A general alternation theorem
-
(Anastassiou G. A., ed.), Marcel Dekker, Inc., New York
-
Brosowski B. and da Silva A. R. (1992), A general alternation theorem, in Approximation Theory (Anastassiou G. A., ed.), Marcel Dekker, Inc., New York, pp. 137–150.
-
(1992)
Approximation Theory
, pp. 137-150
-
-
Brosowski, B.1
da Silva, A.R.2
-
13
-
-
0040764163
-
Two new algorithms for rational approximation
-
Cheney E. W. and Loeb H. L. (1961), ‘Two new algorithms for rational approximation’, Numer. Math. 3, 72–75.
-
(1961)
Numer. Math.
, vol.3
, pp. 72-75
-
-
Cheney, E.W.1
Loeb, H.L.2
-
14
-
-
0040764156
-
The differential correction algorithm for generalized rational functions
-
Cheney E. W. and Powell M. J. D. (1987), ‘The differential correction algorithm for generalized rational functions’, Constr. Approx. 3, 249–256.
-
(1987)
Constr. Approx.
, vol.3
, pp. 249-256
-
-
Cheney, E.W.1
Powell, M.J.D.2
-
15
-
-
0000252614
-
The mathematical structure of Huber' s M-estimator
-
Clark D. I. (1985), ‘The mathematical structure of Huber' s M-estimator’, SIAM J. Sci. Statist. Comput. 6, 209–219.
-
(1985)
SIAM J. Sci. Statist. Comput.
, vol.6
, pp. 209-219
-
-
Clark, D.I.1
-
19
-
-
5644290979
-
The minimax solution of linear equations subject to linear constraints
-
Dax A. (1989), ‘The minimax solution of linear equations subject to linear constraints’, IMA J Numer. Anal. 9, 95–109.
-
(1989)
IMA J Numer. Anal.
, vol.9
, pp. 95-109
-
-
Dax, A.1
-
20
-
-
27644458472
-
A row relaxation method for large minimax problems
-
Dax A. (1993), ‘A row relaxation method for large minimax problems’, BIT 33, 262–276.
-
(1993)
BIT
, vol.33
, pp. 262-276
-
-
Dax, A.1
-
21
-
-
84885599260
-
Column relaxation methods for least norm problems
-
Dax A. and Berkowitz B. (1990), ‘Column relaxation methods for least norm problems’, SIAM J. Sci. Statist. Comput. 11, 975–989.
-
(1990)
SIAM J. Sci. Statist. Comput.
, vol.11
, pp. 975-989
-
-
Dax, A.1
Berkowitz, B.2
-
22
-
-
0039578671
-
Further remarks on the differential correction algorithm
-
Dua S. N. and Loeb H. L. (1973), ‘Further remarks on the differential correction algorithm’, SIAM J. Numer. Anal. 10, 123–126.
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, pp. 123-126
-
-
Dua, S.N.1
Loeb, H.L.2
-
25
-
-
0000333571
-
An analysis of the total least squares problem
-
Golub G. H. and Van Loan C. F. (1980), ‘An analysis of the total least squares problem’, SIAM J. Numer. Anal. 17, 883–893.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 883-893
-
-
Golub, G.H.1
Van Loan, C.F.2
-
26
-
-
0030534149
-
An algorithm for Chebyshev approximation by rationals with constrained denominators
-
(a)
-
Gugat M. (1996a), ‘An algorithm for Chebyshev approximation by rationals with constrained denominators’, Constr. Approx. 12, 197–221.
-
(1996)
Constr. Approx.
, vol.12
, pp. 197-221
-
-
Gugat, M.1
-
27
-
-
0009246690
-
The Newton differential correction algorithm for uniform rational approximation with constrained denominators
-
(b)
-
Gugat M. (1996b), ‘The Newton differential correction algorithm for uniform rational approximation with constrained denominators’, Numer. Algorithms 13, 107–122.
-
(1996)
Numer. Algorithms
, vol.13
, pp. 107-122
-
-
Gugat, M.1
-
28
-
-
0025477881
-
An algorithm for general restricted rational Chebyshev approximation
-
Hettich R. and Zenke P. (1990), ‘An algorithm for general restricted rational Chebyshev approximation’, SIAM J. Numer. Anal. 27, 1024–1033.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 1024-1033
-
-
Hettich, R.1
Zenke, P.2
-
29
-
-
84966209238
-
An algorithm for computing continuous Chebyshev approximations
-
Jing Z. and Fam A. T. (1987), ‘An algorithm for computing continuous Chebyshev approximations’, Math. Comp. 48, 691–710.
-
(1987)
Math. Comp.
, vol.48
, pp. 691-710
-
-
Jing, Z.1
Fam, A.T.2
-
30
-
-
34250076297
-
A projected conjugate gradient method for sparse minimax problems
-
Jonasson K. (1993), ‘A projected conjugate gradient method for sparse minimax problems’, Numer. Algorithms 5, 309–323.
-
(1993)
Numer. Algorithms
, vol.5
, pp. 309-323
-
-
Jonasson, K.1
-
31
-
-
34249771252
-
Corrected sequential linear programming for sparse minimax optimization
-
Jonasson K. and Madsen K. (1994), ‘Corrected sequential linear programming for sparse minimax optimization’, BIT 34, 372–387.
-
(1994)
BIT
, vol.34
, pp. 372-387
-
-
Jonasson, K.1
Madsen, K.2
-
32
-
-
84948098544
-
A Lagrangian method for multivariate continuous Chebyshev approximation problems
-
(Schempp W. and Zeller K., eds), Birkhäuser, Basel
-
Jonasson K. and Watson G. A. (1982), A Lagrangian method for multivariate continuous Chebyshev approximation problems, in Multivariate Approximation Theory 2 (Schempp W. and Zeller K., eds), Birkhäuser, Basel, pp. 211–221.
-
(1982)
Multivariate Approximation Theory 2
, pp. 211-221
-
-
Jonasson, K.1
Watson, G.A.2
-
33
-
-
0040764159
-
Uniform approximationby rational functions having restricted denominators
-
Kaufman E. H. and Taylor G. D. (1981), ‘Uniform approximationby rational functions having restricted denominators’, J. Approx. Theory 32, 9–26.
-
(1981)
J. Approx. Theory
, vol.32
, pp. 9-26
-
-
Kaufman, E.H.1
Taylor, G.D.2
-
34
-
-
0000016461
-
A second-order property of spline functions with one free knot
-
Kawasaki H. (1994), ‘A second-order property of spline functions with one free knot’, J. Approx. Theory 78, 293–297.
-
(1994)
J. Approx. Theory
, vol.78
, pp. 293-297
-
-
Kawasaki, H.1
-
35
-
-
0039469913
-
Strong uniqueness in restrictedrational approximation
-
Li C. and Watson G. A. (1997), ‘Strong uniqueness in restrictedrational approximation’, J. Approx. Theory 89, 96–113.
-
(1997)
J. Approx. Theory
, vol.89
, pp. 96-113
-
-
Li, C.1
Watson, G.A.2
-
37
-
-
0011327884
-
p problems
-
p problems’, SIAM J. Optim. 3, 609–629.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 609-629
-
-
Li, Y.1
-
42
-
-
84968470175
-
Algorithms for piecewise polynomials and splines with free knots
-
Meinardus G., Nürnberger G., Sommer M. and Strauss H. (1989), ‘Algorithms for piecewise polynomials and splines with free knots’, Math. Comp. 53, 235–247.
-
(1989)
Math. Comp.
, vol.53
, pp. 235-247
-
-
Meinardus, G.1
Nürnberger, G.2
Sommer, M.3
Strauss, H.4
-
43
-
-
0004140099
-
-
Technical report, AT&T Bell Laboratories, Murray Hill, New Jersey.
-
Meketon M. S. (1987), Least absolute value regression, Technical report, AT&T Bell Laboratories, Murray Hill, New Jersey.
-
(1987)
Least absolute value regression
-
-
Meketon, M.S.1
-
44
-
-
0041024643
-
1 approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines
-
1 approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines’, J. Approx. Theory 19, 1–14.
-
(1977)
J. Approx. Theory
, vol.19
, pp. 1-14
-
-
Micchelli, C.A.1
-
45
-
-
84910252052
-
Random processes in economic theory and analysis
-
Moran P. A. P. (1959), ‘Random processes in economic theory and analysis’, Sankhya 21, 99–126.
-
(1959)
Sankhya
, vol.21
, pp. 99-126
-
-
Moran, P.A.P.1
-
46
-
-
0007235458
-
Chebyshev approximation by spline functions with free knots
-
Mulansky B. (1992), ‘Chebyshev approximation by spline functions with free knots’, IMA J. Numer. Anal. 12, 95–105.
-
(1992)
IMA J. Numer. Anal.
, vol.12
, pp. 95-105
-
-
Mulansky, B.1
-
47
-
-
0007287734
-
Strongly unique spline approximation with free knots
-
Nürnberger G. (1987), ‘Strongly unique spline approximation with free knots’, Constr. Approx. 3, 31–42.
-
(1987)
Constr. Approx.
, vol.3
, pp. 31-42
-
-
Nürnberger, G.1
-
49
-
-
0011548702
-
Approximation by univariate and bivariate splines
-
a, (Bainov D. and Covachev V., eds), VSP, Utrecht
-
Nürnberger G. (1994a), Approximation by univariate and bivariate splines, in Second International Colloquium on Numerical Analysis (Bainov D. and Covachev V., eds), VSP, Utrecht, pp. 143–153.
-
(1994)
Second International Colloquium on Numerical Analysis
, pp. 143-153
-
-
Nürnberger, G.1
-
50
-
-
21344480639
-
Strong unicity in nonlinear approximation and free knot splines
-
(b)
-
Nurnberger G. (1994b), ‘Strong unicity in nonlinear approximation and free knot splines’, Constr. Approx. 10, 285–299.
-
(1994)
Constr. Approx.
, vol.10
, pp. 285-299
-
-
Nurnberger, G.1
-
51
-
-
0040749593
-
Bivariate segment approximation and free knot splines: research problems 96–4
-
Nürnberger G. (1996), ‘Bivariate segment approximation and free knot splines: research problems 96–4’, Constr. Approx. 12, 555–558.
-
(1996)
Constr. Approx.
, vol.12
, pp. 555-558
-
-
Nürnberger, G.1
-
52
-
-
84948106257
-
Optimal partitions in bivariate segment approximation
-
(Le Mehaute A., Rabut C. and Schumaker L. L., eds), Vanderbilt University Press, Nashville
-
Nürnberger G. (1997), Optimal partitions in bivariate segment approximation, in Surface Fitting and Multiresolution Methods (Le Mehaute A., Rabut C. and Schumaker L. L., eds), Vanderbilt University Press, Nashville, pp. 271–278.
-
(1997)
Surface Fitting and Multiresolution Methods
, pp. 271-278
-
-
Nürnberger, G.1
-
53
-
-
4244159204
-
A Remez type algorithm for spline functions
-
Nürnberger G. and Sommer M. (1983), ‘A Remez type algorithm for spline functions’, Numer. Math. 41, 117–146.
-
(1983)
Numer. Math.
, vol.41
, pp. 117-146
-
-
Nürnberger, G.1
Sommer, M.2
-
54
-
-
0022082442
-
Approximation by generalized splines
-
Nürnberger G., Schumaker L. L., Sommer M. and Strauss H. (1985), ‘Approximation by generalized splines’, J. Math. Anal. Appl. 108, 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
-
55
-
-
38249026453
-
Uniform approximation by generalized splines with free knots
-
Nürnberger G., Schumaker L. L., Sommer M. and Strauss H. (1989), ‘Uniform approximation by generalized splines with free knots’, J. Approx. Theory 59, 150–169.
-
(1989)
J. Approx. Theory
, vol.59
, pp. 150-169
-
-
Nürnberger, G.1
Schumaker, L.L.2
Sommer, M.3
Strauss, H.4
-
58
-
-
2142813443
-
The reduced gradient algorithm
-
(Dodge Y., ed.), North Holland, Amsterdam
-
1 Norm and Related Methods (Dodge Y., ed.), North Holland, Amsterdam, pp. 95–107.
-
(1987)
1 Norm and Related Methods
, pp. 95-107
-
-
Osborne, M.R.1
-
60
-
-
84948064996
-
l fitting problems
-
(Griffiths D. F and Watson G. A., eds), World Scientific, Singapore
-
l fitting problems, in Numerical Analysis: A R Mitchell 75th Birthday Volume (Griffiths D. F and Watson G. A., eds), World Scientific, Singapore, pp. 247–261.
-
(1996)
Numerical Analysis: A R Mitchell 75th Birthday Volume
, pp. 247-261
-
-
Osborne, M.R.1
Watson, G.A.2
-
61
-
-
84934364618
-
-
Cambridge University Press, Cambridge
-
1 Approximation, Cambridge University Press, Cambridge.
-
(1989)
1 Approximation
-
-
Pinkus, A.1
-
62
-
-
0041017928
-
Characterization of Chebyshev approximation by splines
-
Rice J. R. (1967), ‘Characterization of Chebyshev approximation by splines’, SIAM J. Math. Anal. 4, 557–567.
-
(1967)
SIAM J. Math. Anal.
, vol.4
, pp. 557-567
-
-
Rice, J.R.1
-
63
-
-
0030550537
-
Total least norm formulation and solution for structured problems
-
Rosen J. B., Park H. and Glick J. (1996), ‘Total least norm formulation and solution for structured problems’, SIAM J. Matrix Anal. Appl. 17, 110–126.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 110-126
-
-
Rosen, J.B.1
Park, H.2
Glick, J.3
-
64
-
-
0009193457
-
Total least norm for linear and nonlinear structured problems
-
(Van Huffel S., ed.), SIAM, Philadelphia
-
Rosen J. B., Park H. and Glick J. (1997), Total least norm for linear and nonlinear structured problems, in Recent Advances in Total Least Squares Techniques and Errors-in-Variables Modeling (Van Huffel S., ed.), SIAM, Philadelphia, pp. 203–214.
-
(1997)
Recent Advances in Total Least Squares Techniques and Errors-in-Variables Modeling
, pp. 203-214
-
-
Rosen, J.B.1
Park, H.2
Glick, J.3
-
66
-
-
0039239517
-
Uniform approximation by Tchebychefnan spline functions
-
Schumaker L. L. (1968), ‘Uniform approximation by Tchebychefnan spline functions’, J. Math. Mech. 18, 369–378.
-
(1968)
J. Math. Mech.
, vol.18
, pp. 369-378
-
-
Schumaker, L.L.1
-
69
-
-
77958398370
-
A method for calculating best nonlinear Chebyshev approximations
-
Watson G. A. (1976), ‘A method for calculating best nonlinear Chebyshev approximations’, J. Inst. Math. Appl. 18, 351–360.
-
(1976)
J. Inst. Math. Appl.
, vol.18
, pp. 351-360
-
-
Watson, G.A.1
-
71
-
-
0344713360
-
1 approximation of continuous functions
-
1 approximation of continuous functions’, IMA J. Numer. Anal. 1, 157–167.
-
(1981)
IMA J. Numer. Anal.
, vol.1
, pp. 157-167
-
-
Watson, G.A.1
-
72
-
-
85011454913
-
1 approximation problems
-
(Collatz L., Meinardus G. and Werner H., eds), Birkhäuser, Berlin, ISNM 59.
-
1 approximation problems, in Numerical Methods of Approximation Theory 1981 (Collatz L., Meinardus G. and Werner H., eds), Birkhäuser, Berlin, pp. 233–243. ISNM 59.
-
(1982)
Numerical Methods of Approximation Theory 1981
, pp. 233-243
-
-
Watson, G.A.1
-
73
-
-
74549173876
-
The total approximation problem
-
(Chui C. K., Schumaker L. L. and Ward J. D., eds), Academic Press, New York
-
Watson G. A. (1983), The total approximation problem, in Approximation Theory IV (Chui C. K., Schumaker L. L. and Ward J. D., eds), Academic Press, New York, pp. 723–728.
-
(1983)
Approximation Theory IV
, pp. 723-728
-
-
Watson, G.A.1
-
74
-
-
84912463788
-
p approximation problems
-
(Griffiths D. F., ed.), Springer, Berlin
-
p approximation problems, in Numerical Analysis Dundee 1983 (Griffiths D. F., ed.), Springer, Berlin, pp. 221–238.
-
(1984)
Numerical Analysis Dundee 1983
, pp. 221-238
-
-
Watson, G.A.1
-
75
-
-
85011454921
-
Methods for best approximation and regression problems
-
(Iserles A. and Powell M. J. D., eds), Clarendon Press, Oxford
-
Watson G. A. (1987), Methods for best approximation and regression problems, in The State of the Art in Numerical Analysis (Iserles A. and Powell M. J. D., eds), Clarendon Press, Oxford, pp. 139–164.
-
(1987)
The State of the Art in Numerical Analysis
, pp. 139-164
-
-
Watson, G.A.1
-
76
-
-
0345829377
-
The smallest perturbation of a submatrix which lowers the rank of the matrix
-
Watson G. A. (1988), ‘The smallest perturbation of a submatrix which lowers the rank of the matrix’, IMA J. Numer. Anal. 8, 295–303.
-
(1988)
IMA J. Numer. Anal.
, vol.8
, pp. 295-303
-
-
Watson, G.A.1
-
77
-
-
34249920205
-
On a general class of matrix nearness problems
-
Watson G. A. (1991), ‘On a general class of matrix nearness problems’, Constr. Approx. 7, 299–314.
-
(1991)
Constr. Approx.
, vol.7
, pp. 299-314
-
-
Watson, G.A.1
-
78
-
-
85011476773
-
1 norm in nonlinear errors-in-variables problems
-
(Van Huffel S., ed.), SIAM, Philadelphia
-
1 norm in nonlinear errors-in-variables problems, in Recent Advances in Total Least Squares Techniques and Errors-in-Variables Modeling (Van Huffel S., ed.), SIAM, Philadelphia, pp. 183–192.
-
(1997)
Recent Advances in Total Least Squares Techniques and Errors-in-Variables Modeling
, pp. 183-192
-
-
Watson, G.A.1
-
80
-
-
0027591104
-
∞ solutions of overdetermined linear systems
-
∞ solutions of overdetermined linear systems’, J. Optim. Theory Appl. 77, 323–341.
-
(1993)
J. Optim. Theory Appl.
, vol.77
, pp. 323-341
-
-
Zhang, Y.1
|