-
1
-
-
34247386378
-
Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares
-
to appear
-
A. BECK, A. BEN-TAL, AND M. TEBOULLE, Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares, SIAM J. Matrix Anal. Appl., to appear.
-
SIAM J. Matrix Anal. Appl
-
-
BECK, A.1
BEN-TAL, A.2
TEBOULLE, M.3
-
2
-
-
0007160775
-
Hidden convexity in some nonconvex quadratically constrained quadratic programming
-
A. BEN-TAL AND M. TEBOULLE, Hidden convexity in some nonconvex quadratically constrained quadratic programming, Math. Programming, 72 (1996), pp. 51-63.
-
(1996)
Math. Programming
, vol.72
, pp. 51-63
-
-
BEN-TAL, A.1
TEBOULLE, M.2
-
3
-
-
0003713964
-
-
2nd ed, Athena Scientific, Belmont, MA
-
D. P. BERTSEKAS, Nonlinear Programming, 2nd ed., Athena Scientific, Belmont, MA, 1999.
-
(1999)
Nonlinear Programming
-
-
BERTSEKAS, D.P.1
-
5
-
-
0003951723
-
-
MPS/SIAM Ser. Optim. 1, SIAM, Philadelphia
-
A. R. CONN, N. I. M. GOULD, AND P. L. TOINT, Trust-Region Methods, MPS/SIAM Ser. Optim. 1, SIAM, Philadelphia, 2000.
-
(2000)
Trust-Region Methods
-
-
CONN, A.R.1
GOULD, N.I.M.2
TOINT, P.L.3
-
6
-
-
0000181889
-
On nonlinear fractional programming
-
W. DINKELBACH, On nonlinear fractional programming, Management Sci., 13 (1967), pp. 492-498.
-
(1967)
Management Sci
, vol.13
, pp. 492-498
-
-
DINKELBACH, W.1
-
7
-
-
1542346048
-
The trust region subproblem and semidefinite programming
-
C. FORTIN AND H. WOLKOWICZ, The trust region subproblem and semidefinite programming, Optim. Methods Softw., 19 (2004), pp. 41-67.
-
(2004)
Optim. Methods Softw
, vol.19
, pp. 41-67
-
-
FORTIN, C.1
WOLKOWICZ, H.2
-
8
-
-
38249023522
-
A constrained eigenvalue problem
-
W. GANDER, G. H. GOLUB, AND U. VON MATT, A constrained eigenvalue problem, Linear Algebra Appl., 114/115 (1989), pp. 815-839.
-
(1989)
Linear Algebra Appl
, vol.114-115
, pp. 815-839
-
-
GANDER, W.1
GOLUB, G.H.2
VON MATT, U.3
-
9
-
-
0020166920
-
Differential properties of the marginal function in mathematical programming
-
J. GAUVIN AND F. DUBEAU, Differential properties of the marginal function in mathematical programming, Math. Programming Stud., 19 (1982), pp. 101-119.
-
(1982)
Math. Programming Stud
, vol.19
, pp. 101-119
-
-
GAUVIN, J.1
DUBEAU, F.2
-
10
-
-
0033233447
-
Tikhonov regularization and total least squares
-
G. H. GOLUB, P. C. HANSEN, AND D. P. O'LEARY, Tikhonov regularization and total least squares, SIAM J. Matrix Anal. Appl., 21 (1999), pp. 185-194.
-
(1999)
SIAM J. Matrix Anal. Appl
, vol.21
, pp. 185-194
-
-
GOLUB, G.H.1
HANSEN, P.C.2
O'LEARY, D.P.3
-
11
-
-
0000333571
-
An analysis of the total least-squares problem
-
G. H. GOLUB AND C. F. VAN LOAN, An analysis of the total least-squares problem, SIAM J. Numer. Anal., 17 (1980), pp. 883-893.
-
(1980)
SIAM J. Numer. Anal
, vol.17
, pp. 883-893
-
-
GOLUB, G.H.1
VAN LOAN, C.F.2
-
12
-
-
0004236492
-
-
3rd ed, The Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
GOLUB, G.H.1
VAN LOAN, C.F.2
-
13
-
-
0033437435
-
Solving the trust-region subproblem using the Lanczos method
-
N. I. M. GOULD, S. LUCIDI, M. ROMA, AND P. L. TOINT, Solving the trust-region subproblem using the Lanczos method, SIAM J. Optim., 9 (1999), pp. 504-525.
-
(1999)
SIAM J. Optim
, vol.9
, pp. 504-525
-
-
GOULD, N.I.M.1
LUCIDI, S.2
ROMA, M.3
TOINT, P.L.4
-
14
-
-
17444364250
-
A regularized total least squares algorithm
-
Kluwer Academic Publishers, Dordrecht, The Netherlands
-
H. GUO AND R. RENAUT, A regularized total least squares algorithm, in Total Least Squares and Errors-in-Variables Modeling, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2002, pp. 57-66.
-
(2002)
Total Least Squares and Errors-in-Variables Modeling
, pp. 57-66
-
-
GUO, H.1
RENAUT, R.2
-
15
-
-
0001273835
-
Regularization methods for large-scale problems
-
M. HANKE AND P. C. HANSEN, Regularization methods for large-scale problems, Surveys Math. Indust., 3 (1993), pp. 253-315.
-
(1993)
Surveys Math. Indust
, vol.3
, pp. 253-315
-
-
HANKE, M.1
HANSEN, P.C.2
-
16
-
-
0001632418
-
The use of the L-curve in the regularization of discrete ill-posed problems
-
P. C. HANSEN AND D. P. O'LEARY, The use of the L-curve in the regularization of discrete ill-posed problems, SIAM J. Sci. Comput., 14 (1993), pp. 1487-1503.
-
(1993)
SIAM J. Sci. Comput
, vol.14
, pp. 1487-1503
-
-
HANSEN, P.C.1
O'LEARY, D.P.2
-
17
-
-
13344267706
-
Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
-
P. C. HANSEN, Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems, Numer. Algorithms, 6 (1994), pp. 1-35.
-
(1994)
Numer. Algorithms
, vol.6
, pp. 1-35
-
-
HANSEN, P.C.1
-
19
-
-
0003914908
-
-
Frontiers Appl. Math. 9, SIAM, Philadelphia, PA
-
S. VAN HUFFEL AND J. VANDEWALLE, The Total Least Squares Problem: Computational Aspects and Analysis, Frontiers Appl. Math. 9, SIAM, Philadelphia, PA, 1991.
-
(1991)
The Total Least Squares Problem: Computational Aspects and Analysis
-
-
VAN HUFFEL, S.1
VANDEWALLE, J.2
-
24
-
-
17444432191
-
Efficient algorithms for solution of regularized total least squares
-
R. A. RENAUT AND H. GUO, Efficient algorithms for solution of regularized total least squares, SIAM J. Matrix Anal, Appl., 26 (2005), pp. 457-476.
-
(2005)
SIAM J. Matrix Anal, Appl
, vol.26
, pp. 457-476
-
-
RENAUT, R.A.1
GUO, H.2
-
25
-
-
0031141179
-
A semidefinite framework for trust region subproblems with applications to large scale minimization
-
F. RENDEL AND H. WOLKOWICZ, A semidefinite framework for trust region subproblems with applications to large scale minimization, Math. Programming, 77 (1997), pp. 273-299.
-
(1997)
Math. Programming
, vol.77
, pp. 273-299
-
-
RENDEL, F.1
WOLKOWICZ, H.2
-
26
-
-
0022361755
-
Second order sensitivity analysis and asymptotic theory of parameterized nonlinear programs
-
A. SHAPIRO, Second order sensitivity analysis and asymptotic theory of parameterized nonlinear programs, Math. Programming, 33 (1985), pp. 280-299.
-
(1985)
Math. Programming
, vol.33
, pp. 280-299
-
-
SHAPIRO, A.1
-
27
-
-
0000738873
-
On the estimation of a probability density function by the maximum penalized likelihood method
-
B. W. SILVERMAN, On the estimation of a probability density function by the maximum penalized likelihood method, Ann. Statist., 10 (1982), pp. 795-810.
-
(1982)
Ann. Statist
, vol.10
, pp. 795-810
-
-
SILVERMAN, B.W.1
-
28
-
-
18244394807
-
Regularized total least squares based on quadratic eigenvalue problem solvers
-
D. SIMA, S. VAN HUFFEL, AND G. H. GOLUB, Regularized total least squares based on quadratic eigenvalue problem solvers, BIT, 44 (2004), pp. 793-812.
-
(2004)
BIT
, vol.44
, pp. 793-812
-
-
SIMA, D.1
VAN HUFFEL, S.2
GOLUB, G.H.3
-
29
-
-
0031542396
-
Minimization of a large-scale quadratic function subject to a spherical constraint
-
D. C. SORENSEN, Minimization of a large-scale quadratic function subject to a spherical constraint, SIAM J. Optim., 7 (1997), pp. 141-161.
-
(1997)
SIAM J. Optim
, vol.7
, pp. 141-161
-
-
SORENSEN, D.C.1
-
30
-
-
0000305846
-
The conjugate gradient method and trust regions in large scale optimization
-
T. STEIHAUG, The conjugate gradient method and trust regions in large scale optimization, SIAM J. Numer. Anal., 20 (1983), pp. 626-637.
-
(1983)
SIAM J. Numer. Anal
, vol.20
, pp. 626-637
-
-
STEIHAUG, T.1
-
31
-
-
0001219945
-
Indefinite trust region subproblems and nonsymmetric eigen-value perturbations
-
R. J. STERN AND H. WOLKOWICZ, Indefinite trust region subproblems and nonsymmetric eigen-value perturbations, SIAM J. Optim., 5 (1995), pp. 286-313.
-
(1995)
SIAM J. Optim
, vol.5
, pp. 286-313
-
-
STERN, R.J.1
WOLKOWICZ, H.2
-
32
-
-
0032081028
-
A D.C. optimization algorithm for solving the trust-region subproblem
-
P. D. TAO AND L. T. H. AN, A D.C. optimization algorithm for solving the trust-region subproblem, SIAM J. Optim., 8 (1998), pp. 476-505.
-
(1998)
SIAM J. Optim
, vol.8
, pp. 476-505
-
-
TAO, P.D.1
AN, L.T.H.2
|