L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

## Khalid Jbilou

• Grade : Professeur
• Equipe : Approximation
LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS 80699
62228 Calais
• Bureau : C123
• Email : Khalid.Jbilou@lmpa.univ-littoral.fr
• Téléphone : 03.21.46.55.91
• Page personnelle : http://www-lmpa.univ-littoral.fr/~jbilou/

## Publications

### Articles de revues

1. On some properties of the extended block and global Arnoldi methods with applications to model reduction (, and ), In Numerical Algorithms, (75)(1)(2017), , pp 285-304., .
2. A global rational Arnoldi method for model reduction (, and ), In ournal of Computational and Applied Mathematics, (2017), 325 (2017) 175-187., .
3. A block Arnoldi based method for the solution of the Sylvester-Observer equation, (, , and ), In Electronic Transaction on Numerical Analysis, 47 pp. 18-36, .
4. A matrix rational Lanczos method for model reduction (, and ), In Numerical Linear Algebra with Applications, 24(1), no. 1, e2077, pp. 1–13, .
5. Balanced Truncation-Rational Krylov methods for model reduction in large scale dynamical systems, ( and ), In Computational and Applied Mathematics, (2017), . [pdf]
6. On some extended block Krylov based methods for large scale nonsymmetric Stein matrix equations (, and ), In Mathematics, 2017, 5(2), 21, . [pdf]
7. The Global Golub–Kahan bidiagonalization process applied to large discrete ill-posed problems (, , and ), In Journal of Computational and Applied Mathematics, 322, pp. 46-56., .
8. Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems (, and ), In New Trends in Mathematical, volume 4, 227-239, .
9. A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems (, and ), In Applicationes Mathematicae, .
10. A note on the block and seed Bicgstab algorithms for nonsymmetric multiple linear systems (), In American Journal of Algorithms and Computing, volume 3, 1-13, . [pdf]
11. Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems (, and ), In New Trends Math. Sci., volume 4, 227-239, . [pdf]
12. A survey of Krylov-based methods for model reduction in large-scale MIMO dynamical systems (), In Appl. Comput. Math., volume 15, 117-148, .
13. Block extrapolation methods with applications ( and ), In Appl. Numer. Math., volume 106, 154-164, . [pdf]
14. A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations (, and ), In J. Global Optim., volume 65, 19-32, . [pdf]
15. An Adaptive Rational Block Lanczos-Type Algorithm for Model Reduction of Large Scale Dynamical Systems (, and ), In J. Sci. Comput., volume 67, 221-236, . [pdf]
16. A global Lanczos method for image restoration (, , and ), In J. Comput. Appl. Math., volume 300, 233-244, . [pdf]
17. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numerical Algorithms, volume 68(1), 107-119, .
18. A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations (, and ), In Journal of Global Optimization, volume 93, .
19. Vector extrapolation applied to truncated singular value decomposition and truncated iteration. (, , and ), In Journal of Engineering Mathematics, volume 93, 99-122, .
20. A note on the block and seed Bicgstab algorithms for nonsymmetric multiple linear systems (), In American Journal of Algorithms and Computing, .
21. A global Lanczos method for image restoration (, , and ), In Journal of Computational Mathematics, .
22. On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems (, and ), In Comput. Math. Appl., volume 70, 2555-2565, . [pdf]
23. Matrix Krylov subspace methods for image restoration (, and ), In New Trends Math. Sci., volume 3, 136-148, .
24. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , and ), In J. Engrg. Math., volume 93, 99-112, . [pdf]
25. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numer. Algorithms, volume 68, 107-119, . [pdf]
26. A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations (, and ), In Computer Mathematics with Applications, volume 68(3), 238-256, .
27. A minimal residual norm method for large-scale Sylvester matrix equations (, and ), In Electron. Trans. Numer. Anal., volume 43, 45-59, .
28. A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations (, and ), In Comput. Math. Appl., volume 68, 238-256, . [pdf]
29. Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] (, and ), In Appl. Numer. Math., volume 75, -, . [pdf]
30. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), In J. Comput. Appl. Math., volume 255, 580-592, . [pdf]
31. A fast block Krylov implicit Rung-Kutta method for solving large- scale ordinary differential equations ( and ), In Opt and Applications, volume 1(76), .
32. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), In Appl. Numer. Math., volume 74, 95-110, . [pdf]
33. On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations ( and ), In Linear Algebra Appl., volume 439, 2057-2069, . [pdf]
34. A preconditioned block Arnoldi method for large Sylvester matrix equations (, , and ), In Numer. Linear Algebra Appl., volume 20, 208-219, . [pdf]
35. Semidefinite concave programming (, and ), In Mong. Math. J., volume 16, 37-46, .
36. A Kronecker approximation with a convex constrained optimization method for blind image restoration ( and ), In Optim. Lett., volume 6, 1251-1264, . [pdf]
37. Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation (, and ), In Appl. Numer. Math., volume 62, 1089-1108, . [pdf]
38. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, 102-5, . [pdf]
39. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, 2078-2089, . [pdf]
40. Inverse problems: Computation and applications [Preface] (, , , , and ), In J. Comput. Appl. Math., volume 236, 2047-2048, . [pdf]
41. Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations (, and ), In J. Comput. Appl. Math., volume 236, 1531-1542, . [pdf]
42. Convex constrained optimization for large-scale generalized Sylvester equations (, and ), In Comput. Optim. Appl., volume 48, 233-253, . [pdf]
43. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, 1677-1688, . [pdf]
44. Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations ( and ), In Appl. Numer. Math., volume 61, 149-159, . [pdf]
45. A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), In Appl. Math. Comput., volume 215, 4067-4079, . [pdf]
46. The global Arnoldi process for solving the Sylvester-observer equation (, and ), In Comput. Appl. Math., volume 29, 527-544, . [pdf]
47. Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)] (, , , and ), In Appl. Numer. Math., volume 60, 105-3, . [pdf]
48. ADI preconditioned Krylov methods for large Lyapunov matrix equations (), In Linear Algebra Appl., volume 432, 2473-2485, . [pdf]
49. A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), In Appl. Math. Comput., volume 215, 4067-4079, . [pdf]
50. Vector extrapolation enhanced TSVD for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 51, 195-208, . [pdf]
51. An iterative method for Bayesian Gauss-Markov image restoration ( and ), In Appl. Math. Model., volume 33, 361-372, . [pdf]
52. An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation ( and ), In Electron. Trans. Numer. Anal., volume 33, 53-62, .
53. Model reduction in large scale MIMO dynamical systems via the block Lanczos method (, , and ), In Comput. Appl. Math., volume 27, 211-236, . [pdf]
54. An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation ( and ), In Electron. Trans. Numer. Anal., volume 33, 53-62, .
55. Special volume on matrix analysis and applications (, , , , and ), In Electron. Trans. Numer. Anal., volume 33, -, .
56. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), In Appl. Math. Comput., volume 206, 687-694, . [pdf]
57. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), In Comput. Methods Appl. Mech. Engrg., volume 197, 3733-3741, . [pdf]
58. New convergence results on the global GMRES method for diagonalizable matrices (, and ), In J. Comput. Appl. Math., volume 219, 350-358, . [pdf]
59. Model reduction in large scale MIMO dynamical systems via the block Lanczos method (, , and ), In Comput. Appl. Math., volume 27, 211-236, . [pdf]
60. Sylvester Tikhonov-regularization methods in image restoration ( and ), In J. Comput. Appl. Math., volume 206, 86-98, . [pdf]
61. On block minimal residual methods (, , and ), In Appl. Math. Lett., volume 20, 284-289, . [pdf]
62. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, 498-511, . [pdf]
63. Matrix Krylov subspace methods for large scale model reduction problems ( and ), In Appl. Math. Comput., volume 181, 1215-1228, . [pdf]
64. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, 498-511, . [pdf]
65. Low rank approximate solutions to large Sylvester matrix equations (), In Appl. Math. Comput., volume 177, 365-376, . [pdf]
66. Projection methods for large Lyapunov matrix equations ( and ), In Linear Algebra Appl., volume 415, 344-358, . [pdf]
67. An Arnoldi based algorithm for large algebraic Riccati equations (), In Appl. Math. Lett., volume 19, 437-444, . [pdf]
68. On some matrix extrapolation methods (, and ), In C. R. Math. Acad. Sci. Paris, volume 341, 781-786, . [pdf]
69. Oblique projection methods for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 20, 119-138, .
70. Some Schur complement identities and applications to matrix extrapolation methods (, and ), In Linear Algebra Appl., volume 392, 195-210, . [pdf]
71. The block Lanczos method for linear systems with multiple right-hand sides (, and ), In Appl. Numer. Math., volume 51, 243-256, . [pdf]
72. Block Krylov subspace methods for large algebraic Riccati equations (), In Numer. Algorithms, volume 34, 339-353, . [pdf]
73. A block version of BICGSTAB for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 16, 129-142, .
74. Block Krylov subspace methods for solving large Sylvester equations (, and ), In Numer. Algorithms, volume 29, 75-96, . [pdf]
75. Block Krylov subspace methods for solving large Sylvester equations (, and ), In Numer. Algorithms, volume 29, 75-96, . [pdf]
76. Vector extrapolation methods. Applications and numerical comparison ( and ), In J. Comput. Appl. Math., volume 122, 149-165, . [pdf]
77. $LU$ implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems ( and ), In IMA J. Numer. Anal., volume 19, 549-561, . [pdf]
78. Global FOM and GMRES algorithms for matrix equations (, and ), In Appl. Numer. Math., volume 31, 49-63, . [pdf]
79. Smoothing iterative block methods for linear systems with multiple right-hand sides (), In J. Comput. Appl. Math., volume 107, 97-109, . [pdf]
80. Matrix recursive interpolation algorithm for block linear systems: direct methods ( and ), In Linear Algebra Appl., volume 294, 137-154, . [pdf]
81. Hybrid vector transformations ( and ), In J. Comput. Appl. Math., volume 81, 257-267, . [pdf]
82. Projection-minimization methods for nonsymmetric linear systems (), In Linear Algebra Appl., volume 229, 101-125, . [pdf]
83. Analysis of some vector extrapolation methods for solving systems of linear equations ( and ), In Numer. Math., volume 70, 73-89, . [pdf]
84. A general projection algorithm for solving systems of linear equations (), In Numer. Algorithms, volume 4, 361-377, . [pdf]
85. Some results about vector extrapolation methods and related fixed-point iterations ( and ), In J. Comput. Appl. Math., volume 36, 385-398, . [pdf]

### Rapports

1. A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems (, and ), Technical report 516, LMPA, .
2. A matrix lanczos bidiagonalisation-Gauss quadrature method for image restoration (, , and ), Technical report 514, LMPA, .
3. Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems (, and ), Technical report 515, LMPA, .
4. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), Technical report 506, LMPA, .
5. The Davidson-Man method revisited and extended ( and ), Technical report 500, LMPA, .
6. A minimal residual method norm for large scale Sylvester Matrix Equations (, , and ), Technical report 501, LMPA, .
7. Block Arnoldi Based Methods for large Nonsymmetric Algebraic Riccati Problems (, and ), Technical report 505, LMPA, .
8. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), Technical report 471, LMPA, .
9. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), Technical report, LMPA, .
10. An Inexact Newton Block Arnoldi Method for Discrete-Time Algebraic Riccati Equations ( and ), Technical report 467, LMPA, .
11. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), Technical report 457, LMPA, .
12. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), Technical report 442, LMPA, .
13. A Kroneker approximation with a convex constrained optimization method for blind image restoration ( and ), Technical report 441, LMPA, .
14. An Extrapolated TSVD Method for Linear Discrete Ill-Posed Problems with Kronecker Structure (, , and ), Technical report 423, LMPA, .
15. Signal reconstruction in optical tomography by using B-spline Galerkin approximation (, and ), Technical report, LMPA, .
16. Block Arnoldi-Based Methods for Large Scale Discrete-Time Algebraic Riccati Equations (, and ), Technical report 415, LMPA, .
17. Signal reconstruction in optical tomography by using B-spline Galerkin approximation (, and ), Technical report 417, LMPA, .
18. A Preconditioned Block Arnoldi Method for Large Scale Lyapunov and Algebraic Riccati Equations (), Technical report 412, LMPA, .
19. A Numerical method for one dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), Technical report 396, LMPA, .
20. ADI Preconditioned Krylov Methods for Large Lyapunov Matrix Equations (), Technical report 386, LMPA, .
21. Stein high-order one step implicit Runge-Kutta methods for large-scale ordinary differential equations ( and ), Technical report 376, LMPA, .
22. Vector Extrapolation Enhanced TSVD for Linear Discrete Ill-posed Problems (, and ), Technical report 370, LMPA, .
23. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), Technical report 356, LMPA, .
24. The global Arnoldi process for solving the Sylvester-observer equation ( and ), Technical report, LMPA, .
25. Résolution des équations matricielles de Sylvester par le processus 'Extended Block Arnoldi' ( and ), Technical report, LMPA, .
26. Résolution des équations matricielles de Sylvester par le processus 'Extended Block Arnoldi' ( and ), Technical report 355, LMPA, .
27. The global Arnoldi process for solving the Sylvester-observer equation ( and ), Technical report 357, LMPA, .
28. New convergence results on the global GMRES method for diagonalizable matrices (, and ), Technical report 337, LMPA, .
29. An extented Block Krylov method for large-scale continuous-time algebraic Riccati equations ( and ), Technical report 324, LMPA, .
30. An extented Block Krylov method for large-scale continuous-time algebraic Riccati equations ( and ), Technical report, LMPA, .
31. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), Technical report 331, LMPA, .
32. Convex constrained optimization for large-scale ill-conditioned generalized Sylvester equations (, and ), Technical report 322, LMPA, .
33. Model reduction in large scale MIMO dynamical systems via the block Lanczos method (, , and ), Technical report 312, LMPA, .
34. Approximate solutions to large Stein matrix equations (), Technical report 293, LMPA, .
35. An Arnoldi based algorithm for large algebraic Riccati equations (), Technical report 275, LMPA, .
36. On block minimal residual methods (, , and ), Technical report 279, LMPA, .
37. Matrix Krylov Subspace Methods for Large Scale Model Reduction Problems ( and ), Technical report 257, LMPA, .
38. Sylvester Tikhonov-Regularization Methods in Image Restoration ( and ), Technical report 254, LMPA, .
39. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), Technical report 250, LMPA, .
40. Low rank approximate solutions to large Sylvester matrix equations (), Technical report 241, LMPA, .
41. An iterative method for Bayesian Gauss-Markov image restoration ( and ), Technical report 240, LMPA, .
42. A computational method for large and sparse Stein equations (, and ), Technical report 221, LMPA, .
43. On some block extrapolation methods (, and ), Technical report 212, LMPA, .
44. Some Schur complement identities and applications to matrix extrapolation methods (, and ), Technical report 191, LMPA, .
45. Block Krylov subspace methods for large continuous-time algebraic Riccati equations (), Technical report, LMPA, .
46. Projection methods for large Lyapunov matrix equations ( and ), Technical report 164, LMPA, .
47. Numerical methods for Stein equations in large-scale dynamical systems (), Technical report 155, LMPA, .
48. Block and Seed BiCGSTAB algorithms for non symmetric multiple linear systems ( and ), Technical report 135, LMPA, .
49. Block Krylov subspace methods for solving large Sylvester equations (, and ), Technical report 132, LMPA, .
50. Vector extrapolation methods. Applications and numerical comparison ( and ), Technical report 121, LMPA, .
51. A block BiCGSTAB algorithm for multiple linear systems (, and ), Technical report 086, LMPA, .
52. The block Lanczos method for linear systems with multiple right-hand sides (, and ), Technical report 090, LMPA, .
53. Smoothing iterative block methods for linear systems with multiple right-hand sides (), Technical report 073, LMPA, .
54. On Krylov subspace methods for solving the Sylvester matrix equation: $AX-XB=C$ (), Technical report 071, LMPA, .

novembre 2017 :