-
2
-
-
84971957489
-
Continuation and path following
-
Cambridge University Press
-
Allgower E. and Georg K. (1993), Continuation and path following, in Acta Numerica, Vol. 2, Cambridge University Press, pp. 1–64.
-
(1993)
Acta Numerica
, vol.2
, pp. 1-64
-
-
Allgower, E.1
Georg, K.2
-
4
-
-
21344494633
-
Convergence of the Francis shifted QR algorithm on normal matrices
-
Batterson S. (1994), ‘Convergence of the Francis shifted QR algorithm on normal matrices’, Linear Algebra Appl. 207, 181–195.
-
(1994)
Linear Algebra Appl
, vol.207
, pp. 181-195
-
-
Batterson, S.1
-
5
-
-
84966247312
-
Linear convergence in the shifted QR algorithm
-
Batterson S. and Day D. (1992), ‘Linear convergence in the shifted QR algorithm’, Math. Comp. 59, 141–151.
-
(1992)
Math. Comp.
, vol.59
, pp. 141-151
-
-
Batterson, S.1
Day, D.2
-
6
-
-
0000938527
-
The dynamics of Rayleigh quotient iteration
-
Batterson S. and Smillie J. (1989), ‘The dynamics of Rayleigh quotient iteration’, SIAM J. Numer. Anal. 26, 624–636.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 624-636
-
-
Batterson, S.1
Smillie, J.2
-
7
-
-
84966213482
-
Rayleigh quotient iteration for nonsymmetric matrices
-
Batterson S. and Smillie J. (1990), ‘Rayleigh quotient iteration for nonsymmetric matrices’, Math. Comp. 55, 169–178.
-
(1990)
Math. Comp.
, vol.55
, pp. 169-178
-
-
Batterson, S.1
Smillie, J.2
-
9
-
-
0023592849
-
Sequential and parallel complexity of approximating polynomial zeros
-
Bini D. and Pan V. (1987), ‘Sequential and parallel complexity of approximating polynomial zeros’, Computers and Mathematics (with applications) 14, 591–622.
-
(1987)
Computers and Mathematics (with applications)
, vol.14
, pp. 591-622
-
-
Bini, D.1
Pan, V.2
-
11
-
-
0029681225
-
Complexity and real computation: a manifesto
-
Referred to as the Manifesto
-
Blum L., Cucker F., Shub M. and Smale S. (1996), ‘Complexity and real computation: a manifesto’, Int. J. Bifurcation and Chaos 6, 3–26. Referred to as the Manifesto.
-
(1996)
Int. J. Bifurcation and Chaos
, vol.6
, pp. 3-26
-
-
Blum, L.1
Cucker, F.2
Shub, M.3
Smale, S.4
-
13
-
-
84968516134
-
On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines
-
Referred to as BSS (1989)
-
Blum L., Shub M. and Smale S. (1989), ‘On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines’, Bull. Amer. Math. Soc. 21, 1–46. Referred to as BSS (1989).
-
(1989)
Bull. Amer. Math. Soc.
, vol.21
, pp. 1-46
-
-
Blum, L.1
Shub, M.2
Smale, S.3
-
14
-
-
33846132087
-
Geometric Methods in Systems Theory
-
(Mayne D. and Brockett R., eds), D. Reidel, Dordrecht
-
Brockett R. (1973), in Geometric Methods in Systems Theory, Proceedings of the NATO Advanced Study Institute (Mayne D. and Brockett R., eds), D. Reidel, Dordrecht.
-
(1973)
Proceedings of the NATO Advanced Study Institute
-
-
Brockett, R.1
-
15
-
-
0001259424
-
Bounds for the degrees in the Nullstellensatz
-
Brownawell W. (1987), ‘Bounds for the degrees in the Nullstellensatz’, Annals of Math. 126, 577–591.
-
(1987)
Annals of Math
, vol.126
, pp. 577-591
-
-
Brownawell, W.1
-
17
-
-
0000659575
-
A divide and conquer method for the symmetric tridiagonal eigenproblem
-
Cuppen J. J. M. (1981), ‘A divide and conquer method for the symmetric tridiagonal eigenproblem’, Numer. Math. 36, 177–195.
-
(1981)
Numer. Math.
, vol.36
, pp. 177-195
-
-
Cuppen, J.J.M.1
-
18
-
-
85011496063
-
Approximate solutions of numerical problems, condition number analysis and condition number theorems
-
a, (Renegar J., Shub M. and Smale S., eds), AMS, Providence, RI. To appear.
-
Dedieu J.-P. (1997 a), Approximate solutions of numerical problems, condition number analysis and condition number theorems, in Proceedings of the Summer Seminar on ‘Mathematics of Numerical Analysis: Real Number Algorithms’, AMS Lectures in Applied Mathematics (Renegar J., Shub M. and Smale S., eds), AMS, Providence, RI. To appear.
-
(1997)
Proceedings of the Summer Seminar on ‘Mathematics of Numerical Analysis: Real Number Algorithms’, AMS Lectures in Applied Mathematics
-
-
Dedieu, J.-P.1
-
20
-
-
0040250392
-
Condition operators, condition numbers and condition number theorem for the generalized eigenvalue problem
-
c, To appear.
-
Dedieu J.-P. (1997 c), ‘Condition operators, condition numbers and condition number theorem for the generalized eigenvalue problem’, Linear Algebra Appl. To appear.
-
(1997)
Linear Algebra Appl
-
-
Dedieu, J.-P.1
-
21
-
-
0031539451
-
Estimations for separation number of a polynomial system
-
d, To appear
-
Dedieu J.-P. (1997 d), ‘Estimations for separation number of a polynomial system’, J. Symbolic Computation. To appear.
-
(1997)
J. Symbolic Computation
-
-
Dedieu, J.-P.1
-
24
-
-
0001345156
-
On condition numbers and the distance to the nearest ill-posed problem
-
Demmel J. (1987), ‘On condition numbers and the distance to the nearest ill-posed problem’, Numer. Math. 51, 251–289.
-
(1987)
Numer. Math.
, vol.51
, pp. 251-289
-
-
Demmel, J.1
-
25
-
-
0000417182
-
A fully parallel algorithm for the symmetric eigenvalue problem
-
Dongarra J. J. and Sorensen D. C. (1987), ‘A fully parallel algorithm for the symmetric eigenvalue problem’, SIAM J. Sci. Statist. Comput. 8, 139–154.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
, pp. 139-154
-
-
Dongarra, J.J.1
Sorensen, D.C.2
-
27
-
-
0343050486
-
Quasi-Laguerre iteration in solving symmetric tridiagonal eigenvalue problems
-
b, To appear.
-
Du Q., Jin M., Li T. Y. and Zeng Z. (1997 b), ‘Quasi-Laguerre iteration in solving symmetric tridiagonal eigenvalue problems’, SIAM J. Sci. Comput. To appear.
-
(1997)
SIAM J. Sci. Comput.
-
-
Du, Q.1
Jin, M.2
Li, T.Y.3
Zeng, Z.4
-
28
-
-
0000802374
-
The approximation of one matrix by another of lower rank
-
Eckart C. and Young G. (1936), ‘The approximation of one matrix by another of lower rank’, Psychometrika 1, 211–218.
-
(1936)
Psychometrika
, vol.1
, pp. 211-218
-
-
Eckart, C.1
Young, G.2
-
29
-
-
0000324960
-
Eigenvalues and condition numbers of random matrices
-
Edelman A. (1988), ‘Eigenvalues and condition numbers of random matrices’, SIAM J. Matrix Anal. Appl. 9, 543–556.
-
(1988)
SIAM J. Matrix Anal. Appl.
, vol.9
, pp. 543-556
-
-
Edelman, A.1
-
30
-
-
84967770230
-
How many zeros of a random polynomial are real?
-
Edelman A. and Kostlan E. (1995), ‘How many zeros of a random polynomial are real?’, Bull. Amer. Math. Soc. 32, 1–38.
-
(1995)
Bull. Amer. Math. Soc.
, vol.32
, pp. 1-38
-
-
Edelman, A.1
Kostlan, E.2
-
31
-
-
0009913241
-
-
Band X, Georg Olms, New York.
-
Gauss C. F. (1973), Werke, Band X, Georg Olms, New York.
-
(1973)
Werke
-
-
Gauss, C.F.1
-
32
-
-
0040645028
-
Straight-line program in geometric elimination theory
-
To appear
-
Giusti M., Heintz J., Morais J. E., Morgenstern J. and Pardo L. M. (1997), ‘Straight-line program in geometric elimination theory’, Journal of Pure and Applied Algebra. To appear.
-
(1997)
Journal of Pure and Applied Algebra
-
-
Giusti, M.1
Heintz, J.2
Morais, J.E.3
Morgenstern, J.4
Pardo, L.M.5
-
34
-
-
21844456377
-
Computational complexity in polynomial algebra
-
(Berkeley, 1986), Vol. 1, 2, AMS, Providence, RI
-
Grigoriev D. (1987), in Computational complexity in polynomial algebra, Proceedings of the International Congress Math. (Berkeley, 1986), Vol. 1, 2, AMS, Providence, RI, pp. 1452–1460.
-
(1987)
Proceedings of the International Congress Math
, pp. 1452-1460
-
-
Grigoriev, D.1
-
36
-
-
0000135303
-
Method of conjugate gradients for solving linear systems
-
Hestenes M. R. and Stiefel E. (1952), ‘Method of conjugate gradients for solving linear systems’, J. Res. Nat. Bur. Standards 49, 409–436.
-
(1952)
J. Res. Nat. Bur. Standards
, vol.49
, pp. 409-436
-
-
Hestenes, M.R.1
Stiefel, E.2
-
37
-
-
84980134538
-
On algorithms for solving f(x) = 0
-
Hirsch M. and Smale S. (1979), ‘On algorithms for solving f(x) = 0’, Comm. Pure Appl. Math. 32, 281–312.
-
(1979)
Comm. Pure Appl. Math.
, vol.32
, pp. 281-312
-
-
Hirsch, M.1
Smale, S.2
-
38
-
-
0000678479
-
A new proof of global convergence for the tridiagonal QL algorithm
-
Hoffman W. and Parlett B. N. (1978), ‘A new proof of global convergence for the tridiagonal QL algorithm’, SIAM J. Numer. Anal. 15, 929–937.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 929-937
-
-
Hoffman, W.1
Parlett, B.N.2
-
40
-
-
0003080367
-
Global homotopic and Newton methods
-
Academic Press
-
Keller H. (1978), Global homotopic and Newton methods, in Recent Advances in Numerical Analysis, Academic Press, pp. 73–94.
-
(1978)
Recent Advances in Numerical Analysis
, pp. 73-94
-
-
Keller, H.1
-
41
-
-
0016993685
-
A constructive proof of Brouwer fixed-point theorem and computational results
-
Kellog R., Li T. and Yorke J. (1976), ‘A constructive proof of Brouwer fixed-point theorem and computational results’, SIAM J. Numer. Anal. 13, 473–483.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 473-483
-
-
Kellog, R.1
Li, T.2
Yorke, J.3
-
42
-
-
84968511007
-
On approximate zeros and rootfinding algorithms for a complex polynomial
-
Kim M. (1988), ‘On approximate zeros and rootfinding algorithms for a complex polynomial’, Math. Comp. 51, 707–719.
-
(1988)
Math. Comp.
, vol.51
, pp. 707-719
-
-
Kim, M.1
-
43
-
-
0009712181
-
Complexity theory of numerical linear algebra
-
Kostlan E. (1988), ‘Complexity theory of numerical linear algebra’, J. Comput. Appl. Math. 22, 219–230.
-
(1988)
J. Comput. Appl. Math.
, vol.22
, pp. 219-230
-
-
Kostlan, E.1
-
44
-
-
38149143448
-
Statistical complexity of dominant eigenvector calculation
-
Kostlan E. (1991), ‘Statistical complexity of dominant eigenvector calculation’, J. Complexity 7, 371–379.
-
(1991)
J. Complexity
, vol.7
, pp. 371-379
-
-
Kostlan, E.1
-
45
-
-
0009877344
-
On the distribution of the roots of random polynomials
-
(Hirsch M., Marsden J. and Shub M., eds), Springer
-
Kostlan E. (1993), On the distribution of the roots of random polynomials, in From Topology to Computation: Proceedings of the Smalefest (Hirsch M., Marsden J. and Shub M., eds), Springer, pp. 419–431.
-
(1993)
From Topology to Computation: Proceedings of the Smalefest
, pp. 419-431
-
-
Kostlan, E.1
-
46
-
-
0028516907
-
On generalized Newton algorithms: quadratic convergence, path-following and error analysis
-
Malajovich G. (1994), ‘On generalized Newton algorithms: quadratic convergence, path-following and error analysis’, Theoret. Comput. Sci. 133, 65–84.
-
(1994)
Theoret. Comput. Sci.
, vol.133
, pp. 65-84
-
-
Malajovich, G.1
-
48
-
-
0027667665
-
A bibliography on roots of polynomials
-
McNamee J. M. (1993), ‘A bibliography on roots of polynomials’, J. Comput. Appl. Math. 47(3), 391–394.
-
(1993)
J. Comput. Appl. Math.
, vol.47
, Issue.3
, pp. 391-394
-
-
McNamee, J.M.1
-
49
-
-
84966260816
-
On the Betti numbers of real varieties
-
Milnor J. (1964), On the Betti numbers of real varieties, in Proceedings of the Amer. Math. Soc., Vol. 15, pp. 275–280.
-
(1964)
Proceedings of the Amer. Math. Soc.
, vol.15
, pp. 275-280
-
-
Milnor, J.1
-
50
-
-
0028459683
-
Specified precision root isolation is in NC
-
Neff C. (1994), ‘Specified precision root isolation is in NC, J. Comput. System Sci. 48, 429–463.
-
(1994)
J. Comput. System Sci.
, vol.48
, pp. 429-463
-
-
Neff, C.1
-
51
-
-
0030163624
-
An efficient algorithm for the complex roots problem
-
Neff C. and Reif J. (1996), ‘An efficient algorithm for the complex roots problem’, J. Complexity 12, 81–115.
-
(1996)
J. Complexity
, vol.12
, pp. 81-115
-
-
Neff, C.1
Reif, J.2
-
52
-
-
0001632852
-
Estimates of the Betti numbers of real algebraic hypersurfaces
-
In Russian.
-
Oleinik O. (1951), ‘Estimates of the Betti numbers of real algebraic hypersurfaces’, Mat. Sbornik (N.S.) 28, 635–640. In Russian.
-
(1951)
Mat. Sbornik (N.S.)
, vol.28
, pp. 635-640
-
-
Oleinik, O.1
-
53
-
-
0001435982
-
On the topology of real algebraic surfaces
-
In Russian; English translation in Transl. Amer. Math. Soc. 1, 399–417 (1962)
-
Oleinik O. and Petrovski I. (1949), ‘On the topology of real algebraic surfaces’, Izv. Akad. Nauk SSSR 13, 389–402. In Russian; English translation in Transl. Amer. Math. Soc. 1, 399–417 (1962).
-
(1949)
Izv. Akad. Nauk SSSR
, vol.13
, pp. 389-402
-
-
Oleinik, O.1
Petrovski, I.2
-
54
-
-
34250951234
-
On the convergence of Rayleigh quotient iteration for the computation of the characteristic roots and vectors, I
-
Ostrowski A. (1958), ‘On the convergence of Rayleigh quotient iteration for the computation of the characteristic roots and vectors, I’, Arch. Rational Mech. Anal. 1, 233–241.
-
(1958)
Arch. Rational Mech. Anal.
, vol.1
, pp. 233-241
-
-
Ostrowski, A.1
-
55
-
-
0031169815
-
Solving a polynomial equation: some history and recent progress
-
To appear
-
Pan V. (1997), ‘Solving a polynomial equation: some history and recent progress’, SIAM Review. To appear.
-
(1997)
SIAM Review
-
-
Pan, V.1
-
56
-
-
76049107694
-
On the convergence of a practical QR algorithm
-
Parlett B. N. and Kahan W. (1969), ‘On the convergence of a practical QR algorithm’, Inform. Process. Lett. 68, 114–118.
-
(1969)
Inform. Process. Lett.
, vol.68
, pp. 114-118
-
-
Parlett, B.N.1
Kahan, W.2
-
58
-
-
0006076043
-
Electrons on the sphere
-
(Ali R. M., Ruscheweyh S. and Saff E. B., eds), World Scientific
-
Rakhmanov E. A., Saff E. B. and Zhou Y. M. (1995), Electrons on the sphere, in Computational Methods and Function Theory (Ali R. M., Ruscheweyh S. and Saff E. B., eds), World Scientific, pp. 111–127.
-
(1995)
Computational Methods and Function Theory
, pp. 111-127
-
-
Rakhmanov, E.A.1
Saff, E.B.2
Zhou, Y.M.3
-
59
-
-
0023292476
-
On the efficiency of Newton's method in approximating all zeros of systems of complex polynomials
-
a
-
Renegar J. (1987 a), ‘On the efficiency of Newton's method in approximating all zeros of systems of complex polynomials’, Math, of Oper. Research 12, 121–148.
-
(1987)
Math, of Oper. Research
, vol.12
, pp. 121-148
-
-
Renegar, J.1
-
60
-
-
38249035936
-
On the worst case arithmetic complexity of approximating zeros of polynomials
-
b
-
Renegar J. (1987 b), ‘On the worst case arithmetic complexity of approximating zeros of polynomials’, J. Complexity 3, 90–113.
-
(1987)
J. Complexity
, vol.3
, pp. 90-113
-
-
Renegar, J.1
-
61
-
-
0030517078
-
Condition numbers, the Barrier method, and the conjugate gradient method
-
To appear.
-
Renegar J. (1996), ‘Condition numbers, the Barrier method, and the conjugate gradient method’, SIAM J. Optim. To appear.
-
(1996)
SIAM J. Optim.
-
-
Renegar, J.1
-
62
-
-
85011473604
-
-
AMS, Providence, RI
-
Renegar J., Shub M. and Smale S., eds (1997), Proceedings of the Summer Seminar on ‘Mathematics of Numerical Analysis: Real Number Algorithm’, AMS Lectures in Applied Mathematics, AMS, Providence, RI.
-
(1997)
Proceedings of the Summer Seminar on ‘Mathematics of Numerical Analysis: Real Number Algorithm’, AMS Lectures in Applied Mathematics
-
-
Renegar, J.1
Shub, M.2
Smale, S.3
-
64
-
-
0000303960
-
A theory of condition
-
Rice J. R. (1966), ‘A theory of condition’, SIAM J. Numer. Anal. 3, 287–310.
-
(1966)
SIAM J. Numer. Anal.
, vol.3
, pp. 287-310
-
-
Rice, J.R.1
-
68
-
-
0001861435
-
On the work of Steve Smale on the theory of computation
-
(Hirsch M., Marsden J. and Shub M., eds), Springer
-
Shub M. (1993), On the work of Steve Smale on the theory of computation, in From Topology to Computation: Proceedings of the Smalefest (Hirsch M., Marsden J. and Shub M., eds), Springer, pp. 443–455.
-
(1993)
From Topology to Computation: Proceedings of the Smalefest
, pp. 443-455
-
-
Shub, M.1
-
69
-
-
0000960921
-
Computational complexity: on the geometry of polynomials and a theory of cost I
-
Shub M. and Smale S. (1985), ‘Computational complexity: on the geometry of polynomials and a theory of cost I’, Ann. Sci. École Norm. Sup. 18, 107–142.
-
(1985)
Ann. Sci. École Norm. Sup.
, vol.18
, pp. 107-142
-
-
Shub, M.1
Smale, S.2
-
70
-
-
0022659074
-
Computational complexity: on the geometry of polynomials and a theory of cost II
-
Shub M. and Smale S. (1986), ‘Computational complexity: on the geometry of polynomials and a theory of cost II’, SIAM J. Comput. 15, 145–161.
-
(1986)
SIAM J. Comput.
, vol.15
, pp. 145-161
-
-
Shub, M.1
Smale, S.2
-
71
-
-
84968505377
-
Complexity of Bézout's theorem I: geometric aspect
-
a, Referred to as Bez I
-
Shub M. and Smale S. (1993 a), ‘Complexity of Bézout's theorem I: geometric aspect’, J. Amer. Math. Soc. 6, 459–501. Referred to as Bez I.
-
(1993)
J. Amer. Math. Soc.
, vol.6
, pp. 459-501
-
-
Shub, M.1
Smale, S.2
-
72
-
-
0000537756
-
Complexity of Bézout's theorem II: volumes and probabilities
-
(Eyssette F. and Galligo A., eds), of Progress in Mathematics, Referred to as Bez II
-
Shub M. and Smale S. (1993 b), Complexity of Bézout's theorem II: volumes and probabilities, in Computational Algebraic Geometry (Eyssette F. and Galligo A., eds), Vol. 109 of Progress in Mathematics, pp. 267–285. Referred to as Bez II.
-
(1993)
Computational Algebraic Geometry
, vol.109
, pp. 267-285
-
-
Shub, M.1
Smale, S.2
-
73
-
-
0002102930
-
Complexity of Bézout's theorem III: condition number and packing
-
c, Referred to as Bez III
-
Shub M. and Smale S. (1993 c), ‘Complexity of Bézout's theorem III: condition number and packing’, J. Complexity 9, 4–14. Referred to as Bez III.
-
(1993)
J. Complexity
, vol.9
, pp. 4-14
-
-
Shub, M.1
Smale, S.2
-
74
-
-
0028516294
-
Complexity of Bézout's theorem V: polynomial time
-
Referred to as Bez V
-
Shub M. and Smale S. (1994), ‘Complexity of Bézout's theorem V: polynomial time’, Theoret. Comput. Sci. 133, 141–164. Referred to as Bez V.
-
(1994)
Theoret. Comput. Sci.
, vol.133
, pp. 141-164
-
-
Shub, M.1
Smale, S.2
-
75
-
-
0000675799
-
Complexity of Bézout's theorem IV: probability of success; extensions
-
Referred to as Bez IV
-
Shub M. and Smale S. (1996), ‘Complexity of Bézout's theorem IV: probability of success; extensions’, SIAM J. Numer. Anal. 33, 128–148. Referred to as Bez IV.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 128-148
-
-
Shub, M.1
Smale, S.2
-
76
-
-
49549130863
-
A convergent process of price adjustment and global Newton method
-
Smale S. (1976), ‘A convergent process of price adjustment and global Newton method’, J. Math. Economy 3, 107–120.
-
(1976)
J. Math. Economy
, vol.3
, pp. 107-120
-
-
Smale, S.1
-
77
-
-
84966209344
-
The fundamental theorem of algebra and complexity theory
-
Smale S. (1981), ‘The fundamental theorem of algebra and complexity theory’, Bull. Amer. Math. Soc. 4, 1–36.
-
(1981)
Bull. Amer. Math. Soc.
, vol.4
, pp. 1-36
-
-
Smale, S.1
-
78
-
-
84967770163
-
On the efficiency of algorithms of analysis
-
Smale S. (1985), ‘On the efficiency of algorithms of analysis’, Bull. Amer. Math. Soc. 13, 87–121.
-
(1985)
Bull. Amer. Math. Soc.
, vol.13
, pp. 87-121
-
-
Smale, S.1
-
79
-
-
0002383975
-
Newton's method estimates from data at one point
-
(Ewing R., Gross K. and Martin C., eds), Springer
-
Smale S. (1986), Newton's method estimates from data at one point, in The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics (Ewing R., Gross K. and Martin C., eds), Springer, pp. 185–196.
-
(1986)
The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics
, pp. 185-196
-
-
Smale, S.1
-
80
-
-
0002125047
-
Algorithms for solving equations
-
a, AMS, Providence, RI
-
Smale S. (1987 a), Algorithms for solving equations, in Proceedings of the International Congress of Mathematicians, AMS, Providence, RI, pp. 172–195.
-
(1987)
Proceedings of the International Congress of Mathematicians
, pp. 172-195
-
-
Smale, S.1
-
81
-
-
45949121073
-
On the topology of algorithms I
-
(b)
-
Smale S. (1987b), ‘On the topology of algorithms I’, J. Complexity 3, 81–89.
-
(1987)
J. Complexity
, vol.3
, pp. 81-89
-
-
Smale, S.1
-
82
-
-
0025442789
-
Some remarks on the foundations of numerical analysis
-
Smale S. (1990), ‘Some remarks on the foundations of numerical analysis’, SIAM Review 32, 211–220.
-
(1990)
SIAM Review
, vol.32
, pp. 211-220
-
-
Smale, S.1
-
83
-
-
0002943521
-
Lower bounds for algebraic decision trees
-
Steele J. and Yao A. (1982), ‘Lower bounds for algebraic decision trees’, Journal of Algorithms 3, 1–8.
-
(1982)
Journal of Algorithms
, vol.3
, pp. 1-8
-
-
Steele, J.1
Yao, A.2
-
85
-
-
0002586126
-
Sur l'homologie des variétés algébriques réelles
-
(Cairns S., ed.), Princeton University Press
-
Thom R. (1965), Sur l'homologie des variétés algébriques réelles, in Differential and Combinatorial Topology (Cairns S., ed.), Princeton University Press.
-
(1965)
Differential and Combinatorial Topology
-
-
Thom, R.1
-
86
-
-
0018456412
-
Convergence and complexity of Newton iteration for operator equations
-
Traub J. and Wozniakowski H. (1979), ‘Convergence and complexity of Newton iteration for operator equations’, J. Assoc. Comput. Mach. 29, 250–258.
-
(1979)
J. Assoc. Comput. Mach.
, vol.29
, pp. 250-258
-
-
Traub, J.1
Wozniakowski, H.2
-
88
-
-
85011499074
-
-
(preprint), Why Gaussian elimination is stable for almost all matrices.
-
Trefethen L. N. (preprint), Why Gaussian elimination is stable for almost all matrices.
-
-
-
Trefethen, L.N.1
-
89
-
-
0003712685
-
-
of Transl. of Math. Monographs, AMS, Providence, RI. Revised 1994
-
Vassiliev V. A. (1992), Complements of Discriminants of Smooth Maps: Topology and Applications, Vol. 98 of Transl. of Math. Monographs, AMS, Providence, RI. Revised 1994.
-
(1992)
Complements of Discriminants of Smooth Maps: Topology and Applications
, vol.98
-
-
Vassiliev, V.A.1
-
90
-
-
0004930496
-
Some results relevant to Smale's reports
-
(Hirsch M., Marsden J. and Shub M., eds), Springer
-
Wang X. (1993), Some results relevant to Smale's reports, in From Topology to Computation: Proceedings of the Smalefest (Hirsch M., Marsden J. and Shub M., eds), Springer, pp. 456–465.
-
(1993)
From Topology to Computation: Proceedings of the Smalefest
, pp. 456-465
-
-
Wang, X.1
-
93
-
-
0000416833
-
Global convergence of tridiagonal QR algorithm with origin shifts
-
Wilkinson J. (1968), ‘Global convergence of tridiagonal QR algorithm with origin shifts’, Linear Algebra Appl. I, 409–420.
-
(1968)
Linear Algebra Appl
, vol.1
, pp. 409-420
-
-
Wilkinson, J.1
-
94
-
-
0001693342
-
Numerical stability for solving non-linear equations
-
Wozniakowski H. (1977), ‘Numerical stability for solving non-linear equations’, Nu-mer. Math. 27, 373–390.
-
(1977)
Nu-mer. Math.
, vol.27
, pp. 373-390
-
-
Wozniakowski, H.1
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