-
1
-
-
79251473716
-
Well conditioned spherical designs for integration and interpolation on the two-sphere
-
C. AN, X. CHEN, I. H. SLOAN, AND R. S. WOMERSLEY, Well conditioned spherical designs for integration and interpolation on the two-sphere, SIAM J. Numer. Anal., 48 (2010), pp. 2135-2157.
-
(2010)
SIAM J. Numer. Anal.
, vol.48
, pp. 2135-2157
-
-
An, C.1
Chen, X.2
Sloan, I.H.3
Womersley, R.S.4
-
2
-
-
0034415996
-
The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
-
B. BECKERMANN, The condition number of real Vandermonde, Krylov and positive definite Hankel matrices, Numer. Math., 85 (2000), pp. 553-577.
-
(2000)
Numer. Math.
, vol.85
, pp. 553-577
-
-
Beckermann, B.1
-
3
-
-
0007233251
-
The sensitivity of least squares polynomial approximation
-
W. Gautschi, G. H. Golub, and G. Opfer, eds., Birkäuser, Basel
-
B. BECKERMANN AND E. B. SAFF, The sensitivity of least squares polynomial approximation, in Applications and Approximation of Orthogonal Polynomials, Internat. Ser. Numer. Math. 131, W. Gautschi, G. H. Golub, and G. Opfer, eds., Birkäuser, Basel, 1999, pp. 1-17.
-
(1999)
Applications and Approximation of Orthogonal Polynomials, Internat. Ser. Numer. Math.
, vol.131
, pp. 1-17
-
-
Beckermann, B.1
Saff, E.B.2
-
4
-
-
0003713964
-
-
2nd ed., Athena Scientific, Nashua, NH
-
D. P. BERTSEKAS, Nonlinear Programming, 2nd ed., Athena Scientific, Nashua, NH, 1999.
-
(1999)
Nonlinear Programming
-
-
Bertsekas, D.P.1
-
5
-
-
0035612967
-
Tensor product Gauss-Lobatto points are Fekete points for the cube
-
DOI 10.1090/S0025-5718-00-01262-X
-
L. BOS, M. A. TAYLOR, AND B. A. WINGATE, Tensor product Gauss-Lobatto points are Fekete points for the cube, Math. Comp., 70 (2000), pp. 1543-1547. (Pubitemid 33582382)
-
(2001)
Mathematics of Computation
, vol.70
, Issue.236
, pp. 1543-1547
-
-
Bos, L.1
Taylor, M.A.2
Wingate, B.A.3
-
6
-
-
0023416451
-
Projected gradient method for linearly constrained problems
-
P. H. CALAMAI AND J. J. MORÉ, Projected gradient method for linearly constrained problems, Math. Program., 39 (1987), pp. 93-116.
-
(1987)
Math. Program.
, vol.39
, pp. 93-116
-
-
Calamai, P.H.1
Moré, J.J.2
-
7
-
-
85099494167
-
Computational existence proofs for spherical t-designs
-
to appear
-
X. CHEN, A. FROMMER, AND B. LANG, Computational existence proofs for spherical t-designs, Numer. Math., to appear.
-
Numer. Math.
-
-
Chen, X.1
Frommer, A.2
Lang, B.3
-
8
-
-
37849025487
-
Existence of solutions to systems of undetermined equations and spherical designs
-
X. CHEN AND R. S. WOMERSLEY, Existence of solutions to systems of undetermined equations and spherical designs, SIAM J. Numer. Anal., 44 (2006), pp. 2326-2341.
-
(2006)
SIAM J. Numer. Anal.
, vol.44
, pp. 2326-2341
-
-
Chen, X.1
Womersley, R.S.2
-
9
-
-
78149291090
-
Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization
-
X. CHEN AND W. ZHOU, Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization, SIAM J. Imaging Sci., 3 (2010), pp. 765-790.
-
(2010)
SIAM J. Imaging Sci.
, vol.3
, pp. 765-790
-
-
Chen, X.1
Zhou, W.2
-
11
-
-
34249922645
-
Algorithms for generalized fractional programming
-
J. P. CROUZEIX AND J. A. FERLAND, Algorithms for generalized fractional programming, Math. Program., 52 (1991), pp. 191-207.
-
(1991)
Math. Program.
, vol.52
, pp. 191-207
-
-
Crouzeix, J.P.1
Ferland, J.A.2
-
12
-
-
0000181889
-
On non-linear fractional programming
-
W. DINKELBACH, On non-linear fractional programming, Manag. Sci., 13 (1967), pp. 492-498.
-
(1967)
Manag. Sci.
, vol.13
, pp. 492-498
-
-
Dinkelbach, W.1
-
13
-
-
0000554369
-
Solution of monotone complementarity problems with locally Lipschitzian functions
-
PII S0025561096000597
-
A. FISCHER, Solution of monotone complementarity problems with locally Lipschitz functions, Math. Program., 76 (1997), pp. 513-532. (Pubitemid 127380006)
-
(1997)
Mathematical Programming, Series B
, vol.76
, Issue.3
, pp. 513-532
-
-
Fischer, A.1
-
14
-
-
0004236492
-
-
2nd ed., Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 2nd ed., Johns Hopkins University Press, Baltimore, MD, 1993.
-
(1993)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
15
-
-
0000223746
-
Calculation of Gauss quadrature rules
-
G. H. GOLUB AND J. H. WELSCH, Calculation of Gauss quadrature rules, Math. Comp., 23 (1969), pp. 221-230.
-
(1969)
Math. Comp.
, vol.23
, pp. 221-230
-
-
Golub, G.H.1
Welsch, J.H.2
-
17
-
-
0003111058
-
Nonsmooth analysis of eigenvalues
-
A. S. LEWIS, Nonsmooth analysis of eigenvalues, Math. Program., 84 (1999), pp. 1-24.
-
(1999)
Math. Program.
, vol.84
, pp. 1-24
-
-
Lewis, A.S.1
-
18
-
-
70450205215
-
Optimizing condition numbers
-
P. MARÉCHAL AND J. J. YE, Optimizing condition numbers, SIAM J. Optim., 20 (2009), pp. 935-947.
-
(2009)
SIAM J. Optim.
, vol.20
, pp. 935-947
-
-
Maréchal, P.1
Ye, J.J.2
-
19
-
-
0000012763
-
Semismooth and semiconvex functions in constrained optimization
-
R. MIFFLIN, Semismooth and semiconvex functions in constrained optimization, SIAM J. Control Optim., 15 (1977), pp. 959-972.
-
(1977)
SIAM J. Control Optim.
, vol.15
, pp. 959-972
-
-
Mifflin, R.1
-
20
-
-
17444406259
-
Smooth minimization of non-smooth functions
-
DOI 10.1007/s10107-004-0552-5
-
Y. NESTEROV, Smooth minimization of non-smooth functions, Math. Program., 103 (2005), pp. 127-152. (Pubitemid 40537674)
-
(2005)
Mathematical Programming
, vol.103
, Issue.1
, pp. 127-152
-
-
Nesterov, Yu.1
-
21
-
-
33947732413
-
Smoothing technique and its applications in semidefinite optimization
-
DOI 10.1007/s10107-006-0001-8
-
Y. NESTEROV, Smoothing technique and its applications in semidefinite optimization, Math. Program., 110 (2007), pp. 245-259. (Pubitemid 46504991)
-
(2007)
Mathematical Programming
, vol.110
, Issue.2
, pp. 245-259
-
-
Nesterov, Y.1
-
22
-
-
0003181133
-
Large-scale optimization of eigenvalues
-
M. L. OVERTON, Large-scale optimization of eigenvalues, SIAM J. Optim., 2 (1992), pp. 88-120.
-
(1992)
SIAM J. Optim.
, vol.2
, pp. 88-120
-
-
Overton, M.L.1
-
23
-
-
0039907084
-
On the sum of the largest eigenvalues of a symmetric matrix
-
M. L. OVERTON AND R. S. WOMERSLEY, On the sum of the largest eigenvalues of a symmetric matrix, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 41-45.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 41-45
-
-
Overton, M.L.1
Womersley, R.S.2
-
24
-
-
34250080273
-
Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices
-
M. L. OVERTON AND R. S. WOMERSLEY, Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices, Math. Program., 62 (1993), pp. 321-357.
-
(1993)
Math. Program.
, vol.62
, pp. 321-357
-
-
Overton, M.L.1
Womersley, R.S.2
-
25
-
-
0031139858
-
First and second order analysis of nonlinear semidefinite programs
-
PII 80025561096000810
-
A. SHAPIRO, First and second order analysis of nonlinear semidefinite programs, Math. Program., 77 (1997), pp. 301-320. (Pubitemid 127412634)
-
(1997)
Mathematical Programming, Series B
, vol.77
, Issue.2
, pp. 301-320
-
-
Shapiro, A.1
-
26
-
-
69949158512
-
A variational characterisation of spherical designs
-
I. H. SLOAN AND R. S. WOMERSLEY, A variational characterisation of spherical designs, J. Approx. Theory, 159 (2009), pp. 308-318.
-
(2009)
J. Approx. Theory
, vol.159
, pp. 308-318
-
-
Sloan, I.H.1
Womersley, R.S.2
-
27
-
-
0346707472
-
Strong semismoothness of eigenvalues of symmetric matrices and its application to inverse eigenvalue problems
-
D. SUN AND J. SUN, Strong semismoothness of eigenvalues of symmetric matrices and its application to inverse eigenvalue problems, SIAM J. Numer. Anal., 40 (2002), pp. 2352-2367.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 2352-2367
-
-
Sun, D.1
Sun, J.2
-
28
-
-
77956177876
-
Error bounds for approximation in Chebyshev points
-
S. XIANG, X. CHEN, AND H. WANG, Error bounds for approximation in Chebyshev points, Numer. Math., 116 (2010), pp. 463-491.
-
(2010)
Numer. Math.
, vol.116
, pp. 463-491
-
-
Xiang, S.1
Chen, X.2
Wang, H.3
-
29
-
-
70450260767
-
Smoothing projected gradient method and its application to stochastic linear complementarity problems
-
C. ZHANG AND X. CHEN, Smoothing projected gradient method and its application to stochastic linear complementarity problems, SIAM J. Optim., 20 (2009), pp. 627-649.
-
(2009)
SIAM J. Optim.
, vol.20
, pp. 627-649
-
-
Zhang, C.1
Chen, X.2
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