-
3
-
-
84976855597
-
Solution of the matrix equation AX + XB = C
-
Bartels, R.H., Stewart, G.W.: Solution of the matrix equation AX + XB = C. Commun. ACM 15, 820-826 (1972)
-
(1972)
Commun. ACM
, Issue.15
, pp. 820-826
-
-
Bartels, R.H.1
Stewart, G.W.2
-
4
-
-
0001531895
-
Two point step size gradient methods
-
Barzilai, J., Borwein, J.M.: Two point step size gradient methods. IMA J. Numer. Anal. 8, 141-148 (1988)
-
(1988)
IMA J. Numer. Anal.
, vol.8
, pp. 141-148
-
-
Barzilai, J.1
Borwein, J.M.2
-
5
-
-
0016948909
-
On The Goldstein-Levitin-Polyak gradient projection method
-
Bertsekas, D.P.: On The Goldstein-Levitin-Polyak gradient projection method. IEEE Trans. Automat. Contr. 21, 174-184 (1976)
-
(1976)
IEEE Trans. Automat. Contr.
, vol.21
, pp. 174-184
-
-
Bertsekas, D.P.1
-
6
-
-
0034345420
-
Nonmonotone spectral projected gradient methods on convex sets
-
Birgin, E.G., Martínez, J.M., Raydan, M.: Nonmonotone spectral projected gradient methods on convex sets. SIAM J. Opt. 10, 1196-1211 (2000)
-
(2000)
SIAM. J. Opt.
, vol.10
, pp. 1196-1211
-
-
Birgin, E.G.1
Martínez, J.M.2
Raydan, M.3
-
7
-
-
18044400238
-
Algorithm 813: SPG - Software for Convex-Constrained Optimization
-
DOI 10.1145/502800.502803
-
Birgin, E.G., Martínez, J.M., Raydan, M.: Algorithm 813: SPG-software for convex-constrained optimization. ACM Trans. Math. Softw. 27, 340-349 (2001) (Pubitemid 33654982)
-
(2001)
ACM Transactions on Mathematical Software
, vol.27
, Issue.3
, pp. 340-349
-
-
Birgin, E.G.1
Martinez, J.M.2
Raydan, M.3
-
8
-
-
0142199775
-
Inexact spectral projected gradient methods on convex sets
-
DOI 10.1093/imanum/23.4.539
-
Birgin, E.G., Martínez, J.M., Raydan, M.: Inexact spectral gradient method for convex-constrained optimization. IMA J. Numer. Anal. 23, 539-559 (2003) (Pubitemid 37445929)
-
(2003)
IMA Journal of Numerical Analysis
, vol.23
, Issue.4
, pp. 539-559
-
-
Birgin, E.G.1
Martinez, J.M.2
Raydan, M.3
-
9
-
-
34249300138
-
Sylvester Tikhonov-regularization methods in image restoration
-
DOI 10.1016/j.cam.2006.05.028, PII S0377042706003839
-
Bouhamidi, A., Jbilou, K.: Sylvester Tikhonov-regularization methods in image restoration. J. Comput. Math. 206, 86-98 (2007) (Pubitemid 46817744)
-
(2007)
Journal of Computational and Applied Mathematics
, vol.206
, Issue.1
, pp. 86-98
-
-
Bouhamidi, A.1
Jbilou, K.2
-
10
-
-
0002436271
-
A method for finding projections onto the intersection of convex sets in Hilbert spaces
-
Boyle, J.P., Dykstra, R.L.: A method for finding projections onto the intersection of convex sets in Hilbert spaces. Lect. Notes Stat. 37, 28-47 (1986)
-
(1986)
Lect. Notes Stat.
, vol.37
, pp. 28-47
-
-
Boyle, J.P.1
Dykstra, R.L.2
-
11
-
-
0031270563
-
Iterative methods for X-AXB = C
-
Calvetti, D., Levenberg, N., Reichel, L.: Iterative methods for X-AXB = C. J. Comput. Appl.Math. 86, 73-101 (1997)
-
(1997)
J. Comput. Appl.Math.
, Issue.86
, pp. 73-101
-
-
Calvetti, D.1
Levenberg, N.2
Reichel, L.3
-
12
-
-
0000924088
-
Estimation of the L-curve via Lanczos bidiagonalization
-
Calvetti, D., Golub, G.H., Reichel, L.: Estimation of the L-curve via Lanczos bidiagonalization. BIT 39, 603-619 (1999)
-
(1999)
BIT
, vol.39
, pp. 603-619
-
-
Calvetti, D.1
Golub, G.H.2
Reichel, L.3
-
13
-
-
0042232525
-
GMRES L-curves and discrete ill-posed problems
-
Calvetti, D., Lewis, B., Reichel, L.: GMRES, L-curves and discrete ill-posed problems. BIT 42, 44-65 (2002)
-
(2002)
BIT
, vol.42
, pp. 44-65
-
-
Calvetti, D.1
Lewis, B.2
Reichel, L.3
-
14
-
-
0036895160
-
The triangle method for finding the corner of the L-curve
-
DOI 10.1016/S0168-9274(01)00179-9, PII S0168927401001799
-
Castellanos, J.L., Gómez, S., Guerra, V.: The triangle method for finding the corner of the L-curve. Appl. Numer. Math. 43, 359-373 (2002) (Pubitemid 35411993)
-
(2002)
Applied Numerical Mathematics
, vol.43
, Issue.4
, pp. 359-373
-
-
Castellanos, J.L.1
Gomez, S.2
Guerra, V.3
-
15
-
-
15344346435
-
-
SIAM, Philadelphia
-
Chan, T.F., Shen, J.: Image Processing and Analysis: Variational, PDE,Wavelet, and Stochastic Methods. SIAM, Philadelphia (2005)
-
(2005)
Image Processing and Analysis: Variational PDEWavelet and Stochastic Methods
-
-
Chan, T.F.1
Shen, J.2
-
16
-
-
0036102376
-
R-linear convergence of the Barzilai and Borwein gradient method
-
Dai, Y.H., Liao, L.Z.: R-linear convergence of the Barzilai and Borwein gradient method. IMA J. Numer. Anal. 22, 1-10 (2002)
-
(2002)
IMA J. Numer. Anal.
, vol.22
, pp. 1-10
-
-
Dai, Y.H.1
Liao, L.Z.2
-
18
-
-
0001213158
-
Accurate solutions of ill-posed problems in control theory
-
Demmel, J.W., Kågström, B.: Accurate solutions of ill-posed problems in control theory. SIAM J. Matrix Anal. Appl. 9, 126-145 (1988)
-
(1988)
SIAM J. Matrix Anal. Appl.
, vol.9
, pp. 126-145
-
-
Demmel, J.W.1
Kagström, B.2
-
19
-
-
52949092837
-
Method of undetermined coefficients in linear differential systems and the matrix equation YA -AY = F
-
Dou, A.: Method of undetermined coefficients in linear differential systems and the matrix equation YA-AY = F. SIAM J. Appl. Math. 14, 691-696 (1966)
-
(1966)
SIAM J. Appl. Math.
, vol.14
, pp. 691-696
-
-
Dou, A.1
-
20
-
-
0036254232
-
Block Krylov subspace methods for solving large Sylvester equations
-
DOI 10.1023/A:1014807923223
-
El Guennouni, A., Jbilou, K., Riquet, A.J.: Block Krylov subspace methods for solving large Sylvester equations. Numer. Algorithms 29, 75-96 (2002) (Pubitemid 37132317)
-
(2002)
Numerical Algorithms
, vol.29
, Issue.1-3
, pp. 75-96
-
-
El Guennouni, A.1
Jbilou, K.2
Riquet, A.J.3
-
21
-
-
0000860359
-
Methods for the solution of AXD -BXC = E and its application in the numerical solution of implicit ordinary differential equations
-
Epton, M.A.: Methods for the solution of AXD -BXC = E and its application in the numerical solution of implicit ordinary differential equations. BIT 20, 341-345 (1980)
-
(1980)
BIT
, vol.20
, pp. 341-345
-
-
Epton, M.A.1
-
22
-
-
0000504131
-
Low storage methods for unconstrained optimization
-
Fletcher, R.: Low storage methods for unconstrained optimization. Lect. Appl. Math. 26, 165-179 (1990)
-
(1990)
Lect. Appl. Math.
, vol.26
, pp. 165-179
-
-
Fletcher, R.1
-
23
-
-
33746427463
-
On the Barzilai-Borwein method
-
Qi, L., Teo, K.L., Yang, X.Q. (eds.). Springer, Berlin
-
Fletcher, R.: On the Barzilai-Borwein method. In: Qi, L., Teo, K.L., Yang, X.Q. (eds.) Optimization and Control with Applications, pp. 235-256. Springer, Berlin (2005)
-
(2005)
Optimization and Control with Applications
, pp. 235-256
-
-
Fletcher, R.1
-
24
-
-
84966240089
-
Convex programming in hilbert space
-
Goldstein, A.A.: Convex Programming in Hilbert Space. Bull. Am. Math. Soc. 70, 709-710 (1964)
-
(1964)
Bull. Am. Math. Soc.
, vol.70
, pp. 709-710
-
-
Goldstein, A.A.1
-
25
-
-
0040354352
-
Tikhonov regularization for large scale problems
-
Golub, G.H., Lui, S.H., Luk, F., Plemmons, R. (eds.), Springer, New York
-
Golub, G.H., von Matt, U.: Tikhonov regularization for large scale problems. In: Golub, G.H., Lui, S.H., Luk, F., Plemmons, R. (eds.) Workshop on Scientific Computing, pp. 3-26. Springer, New York (1997)
-
(1997)
Workshop on Scientific Computing
, pp. 3-26
-
-
Golub, G.H.1
Von Matt, U.2
-
26
-
-
32044449925
-
Generalized cross-validation as a method for choosing a good ridge parameter
-
Golub, G.H., Heath, M., Wahba, G.: Generalized cross-validation as a method for choosing a good ridge parameter. Technometrics 21, 215-223 (1979)
-
(1979)
Technometrics
, vol.21
, pp. 215-223
-
-
Golub, G.H.1
Heath, M.2
Wahba, G.3
-
27
-
-
0018721357
-
A Hessenberg-Schur method the problem AX+XB = C
-
Golub, G.H., Nash, S., Van Loan, C.: A Hessenberg-Schur method the problem AX+XB = C. IEEE Trans. Automat. Contr. AC 24, 909-913 (1979)
-
(1979)
IEEE Trans. Automat. Contr. AC
, Issue.24
, pp. 909-913
-
-
Golub, G.H.1
Nash, S.2
Van Loan, C.3
-
28
-
-
0022766519
-
Nonmonotone line search technique for Newton's method
-
Grippo, L., Lampariello, F., Lucidi, S.: A nonmonotone line search technique for Newton's method. SIAM J. Numer. Anal. 23, 707-716 (1986) (Pubitemid 16604645)
-
(1986)
SIAM Journal on Numerical Analysis
, vol.23
, Issue.4
, pp. 707-716
-
-
Grippo, L.1
Lampariello, F.2
Lucidi, S.3
-
29
-
-
0000567621
-
Numerical solution of the stable, nonnegative definite Lyapunov equations
-
Hammarling, S.J.: Numerical solution of the stable, nonnegative definite Lyapunov equations. IMA J. Numer. Anal. 2, 303-323 (1982)
-
(1982)
IMA J. Numer. Anal.
, vol.2
, pp. 303-323
-
-
Hammarling, S.J.1
-
30
-
-
0001273835
-
Regularization methods for large-scale problems
-
Hanke, M., Hansen, P.C.: Regularization methods for large-scale problems. Surv. Math. Ind. 3, 253-315 (1993)
-
(1993)
Surv. Math. Ind.
, vol.3
, pp. 253-315
-
-
Hanke, M.1
Hansen, P.C.2
-
31
-
-
0000570697
-
Analysis of discrete ill-posed problems by means of the L-curve
-
Hansen, P.C.: Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev. 34, 561-580 (1992)
-
(1992)
SIAM Rev.
, vol.34
, pp. 561-580
-
-
Hansen, P.C.1
-
32
-
-
33846050910
-
-
SIAM, Philadelphia
-
Hansen, P.C., Nagy, J.G., O'Leary, D.P.: Deblurring Images: Matrices, Spectra, and Filtering. SIAM, Philadelphia (2006)
-
(2006)
Deblurring Images: Matrices Spectra and Filtering
-
-
Hansen, P.C.1
Nagy, J.G.2
O'Leary, D.P.3
-
33
-
-
38249011246
-
Krylov subspace methods for the Sylvester equation
-
Hu, D.Y., Reichel, L.: Krylov subspace methods for the Sylvester equation. Linear Algebra Appl. 174, 283-314 (1992)
-
(1992)
Linear Algebra Appl.
, vol.174
, pp. 283-314
-
-
Hu, D.Y.1
Reichel, L.2
-
34
-
-
0028377922
-
Krylov subspace methods for solving large Lyapunov equations
-
Jaimoukha, I.M., Kasenally, E.M.: Krylov subspace methods for solving large Lyapunov equations. SIAM J. Matrix Anal. Appl. 31, 227-251 (1994)
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.31
, pp. 227-251
-
-
Jaimoukha, I.M.1
Kasenally, E.M.2
-
35
-
-
33744937558
-
Low rank approximate solutions to large Sylvester matrix equations
-
DOI 10.1016/j.amc.2005.11.014, PII S0096300305009173
-
Jbilou, K.: Low rank approximate solutions to large Sylvester matrix equations. Appl. Math. Comput. 177, 365-376 (2006) (Pubitemid 43841768)
-
(2006)
Applied Mathematics and Computation
, vol.177
, Issue.1
, pp. 365-376
-
-
Jbilou, K.1
-
36
-
-
33745469648
-
Projection methods for large Lyapunov matrix equations
-
DOI 10.1016/j.laa.2004.11.004, PII S0024379504004707
-
Jbilou, K., Riquet, A.: Projection methods for large Lyapunov matrix equations. Linear Algebra Appl. 415, 344-358 (2006) (Pubitemid 44304442)
-
(2006)
Linear Algebra and Its Applications
, vol.415
, Issue.2-3
, pp. 344-358
-
-
Jbilou, K.1
Riquet, A.J.2
-
37
-
-
0033197189
-
Global FOM and GMRES algorithms for matrix equations
-
Jbilou, K., Messaoudi, A., Sadok, H.: Global FOM and GMRES algorithms for matrix equations. Appl. Numer. Math. 31, 49-63 (1999)
-
(1999)
Appl. Numer. Math.
, vol.31
, pp. 49-63
-
-
Jbilou, K.1
Messaoudi, A.2
Sadok, H.3
-
38
-
-
33746442469
-
Spectral residual method without gradient information for solving large-scale nonlinear systems of equations
-
La Cruz, W., Martínez, J.M., Raydan, M.: Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. Math. Comput. 75, 1449-1466 (2006)
-
(2006)
Math. Comput.
, vol.75
, pp. 1449-1466
-
-
La Cruz, W.1
Martínez, J.M.2
Raydan, M.3
-
41
-
-
0001050714
-
An iterative technique for the rectification of observed distributions
-
Lucy, L.B.: An iterative technique for the rectification of observed distributions. Astron. J. 79, 745-754 (1974)
-
(1974)
Astron. J.
, vol.79
, pp. 745-754
-
-
Lucy, L.B.1
-
42
-
-
52949108764
-
Block linear method for large scale Sylvester equations
-
Monsalve, M.: Block linear method for large scale Sylvester equations. Comput. Appl. Math. 27, 47-59 (2008)
-
(2008)
Comput. Appl. Math.
, vol.27
, pp. 47-59
-
-
Monsalve, M.1
-
43
-
-
0011739235
-
On the Barzilai and Borwein choice of steplength for the gradient method
-
Raydan, M.: On the Barzilai and Borwein choice of steplength for the gradient method. IMA J. Numer. Anal. 13, 321-326 (1993)
-
(1993)
IMA J. Numer. Anal.
, vol.13
, pp. 321-326
-
-
Raydan, M.1
-
44
-
-
0002594849
-
Bayesian-based iterative method of image restoration
-
Richardson, W.H.: Bayesian-based iterative method of image restoration. J. Opt. Soc. Am. 62, 55-59 (1972)
-
(1972)
J. Opt. Soc. Am.
, vol.62
, pp. 55-59
-
-
Richardson, W.H.1
-
45
-
-
0000844938
-
On the numerical solution of AX -XB = C
-
Simoncini, V.: On the numerical solution of AX -XB = C. BIT 36, 814-830 (1996)
-
(1996)
BIT
, Issue.36
, pp. 814-830
-
-
Simoncini, V.1
|