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

Khalid Jbilou

  • Grade : Professeur
  • Equipe : Approximation
  • Adresse :
    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. Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems (, and ), In New Trends Math. Sci., volume 4, . [pdf]
  2. A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations (, and ), In Comput. Math. Appl., volume 68, . [pdf]
  3. A fast block Krylov implicit Rung-Kutta method for solving large- scale ordinary differential equations ( and ), In Opt and Applications, volume 1(76), .
  4. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), In Appl. Numer. Math., volume 74, . [pdf]
  5. Semidefinite concave programming (, and ), In Mong. Math. J., volume 16, .
  6. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), In J. Comput. Appl. Math., volume 255, . [pdf]
  7. On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations ( and ), In Linear Algebra Appl., volume 439, . [pdf]
  8. A preconditioned block Arnoldi method for large Sylvester matrix equations (, , and ), In Numer. Linear Algebra Appl., volume 20, . [pdf]
  9. A Kronecker approximation with a convex constrained optimization method for blind image restoration ( and ), In Optim. Lett., volume 6, . [pdf]
  10. Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation (, and ), In Appl. Numer. Math., volume 62, . [pdf]
  11. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, . [pdf]
  12. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, . [pdf]
  13. Inverse problems: Computation and applications [Preface] (, , , , and ), In J. Comput. Appl. Math., volume 236, . [pdf]
  14. Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations (, and ), In J. Comput. Appl. Math., volume 236, . [pdf]
  15. Convex constrained optimization for large-scale generalized Sylvester equations (, and ), In Comput. Optim. Appl., volume 48, . [pdf]
  16. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, . [pdf]
  17. Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations ( and ), In Appl. Numer. Math., volume 61, . [pdf]
  18. A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), In Appl. Math. Comput., volume 215, . [pdf]
  19. An iterative method for Bayesian Gauss-Markov image restoration ( and ), In Appl. Math. Model., volume 33, . [pdf]
  20. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), In Appl. Math. Comput., volume 206, . [pdf]
  21. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), In Comput. Methods Appl. Mech. Engrg., volume 197, . [pdf]
  22. Sylvester Tikhonov-regularization methods in image restoration ( and ), In J. Comput. Appl. Math., volume 206, . [pdf]
  23. Block extrapolation methods with applications ( and ), In Appl. Numer. Math., volume 106, . [pdf]
  24. A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems (, and ), In Applicationes Mathematicae, .
  25. A survey of Krylov-based methods for model reduction in large-scale MIMO dynamical systems (), In Applied and Computational Mathematics, volume 15, .
  26. A survey of Krylov-based methods for model reduction in large-scale MIMO dynamical systems ( and ), In Applied Mathematics and Computation, .
  27. A note on the block and seed Bicgstab algorithms for nonsymmetric multiple linear systems (), In American Journal of Algorithms and Computing, volume 3, . [pdf]
  28. Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems (, and ), In New Trends in Mathematical, volume 4, .
  29. A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations (, and ), In J. Global Optim., volume 65, . [pdf]
  30. An Adaptive Rational Block Lanczos-Type Algorithm for Model Reduction of Large Scale Dynamical Systems (, and ), In J. Sci. Comput., volume 67, . [pdf]
  31. A global Lanczos method for image restoration (, , and ), In J. Comput. Appl. Math., volume 300, . [pdf]
  32. On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems (, and ), In Comput. Math. Appl., volume 70, . [pdf]
  33. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , and ), In J. Engrg. Math., volume 93, . [pdf]
  34. A note on the block and seed Bicgstab algorithms for nonsymmetric multiple linear systems (), In American Journal of Algorithms and Computing, .
  35. Matrix Krylov subspace methods for image restoration (, and ), In New Trends Math. Sci., volume 3, .
  36. Vector extrapolation applied to truncated singular value decomposition and truncated iteration. (, , and ), In Journal of Engineering Mathematics, volume 93, .
  37. A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations (, and ), In Journal of Global Optimization, volume 93, .
  38. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numerical Algorithms, volume 68(1), .
  39. A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations (, and ), In Computer Mathematics with Applications, volume 68(3), .
  40. A global Lanczos method for image restoration (, , and ), In Journal of Computational Mathematics, .
  41. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numer. Algorithms, volume 68, . [pdf]
  42. A minimal residual norm method for large-scale Sylvester matrix equations (, and ), In Electron. Trans. Numer. Anal., volume 43, .
  43. Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] (, and ), In Appl. Numer. Math., volume 75, . [pdf]
  44. The global Arnoldi process for solving the Sylvester-observer equation (, and ), In Comput. Appl. Math., volume 29, . [pdf]
  45. Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)] (, , , and ), In Appl. Numer. Math., volume 60, . [pdf]
  46. ADI preconditioned Krylov methods for large Lyapunov matrix equations (), In Linear Algebra Appl., volume 432, . [pdf]
  47. Vector extrapolation enhanced TSVD for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 51, . [pdf]
  48. An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation ( and ), In Electron. Trans. Numer. Anal., volume 33, .
  49. Special volume on matrix analysis and applications (, , , , and ), In Electron. Trans. Numer. Anal., volume 33, .
  50. New convergence results on the global GMRES method for diagonalizable matrices (, and ), In J. Comput. Appl. Math., volume 219, . [pdf]
  51. Model reduction in large scale MIMO dynamical systems via the block Lanczos method (, , and ), In Comput. Appl. Math., volume 27, . [pdf]
  52. On block minimal residual methods (, , and ), In Appl. Math. Lett., volume 20, . [pdf]
  53. Matrix Krylov subspace methods for large scale model reduction problems ( and ), In Appl. Math. Comput., volume 181, . [pdf]
  54. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, . [pdf]
  55. Low rank approximate solutions to large Sylvester matrix equations (), In Appl. Math. Comput., volume 177, . [pdf]
  56. Projection methods for large Lyapunov matrix equations ( and ), In Linear Algebra Appl., volume 415, . [pdf]
  57. An Arnoldi based algorithm for large algebraic Riccati equations (), In Appl. Math. Lett., volume 19, . [pdf]
  58. On some matrix extrapolation methods (, and ), In C. R. Math. Acad. Sci. Paris, volume 341, . [pdf]
  59. Oblique projection methods for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 20, .
  60. Some Schur complement identities and applications to matrix extrapolation methods (, and ), In Linear Algebra Appl., volume 392, . [pdf]
  61. The block Lanczos method for linear systems with multiple right-hand sides (, and ), In Appl. Numer. Math., volume 51, . [pdf]
  62. Block Krylov subspace methods for large algebraic Riccati equations (), In Numer. Algorithms, volume 34, . [pdf]
  63. A block version of BICGSTAB for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 16, .
  64. Block Krylov subspace methods for solving large Sylvester equations (, and ), In Numer. Algorithms, volume 29, . [pdf]
  65. Vector extrapolation methods. Applications and numerical comparison ( and ), In J. Comput. Appl. Math., volume 122, . [pdf]
  66. $LU$ implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems ( and ), In IMA J. Numer. Anal., volume 19, . [pdf]
  67. Matrix recursive interpolation algorithm for block linear systems: direct methods ( and ), In Linear Algebra Appl., volume 294, . [pdf]
  68. Global FOM and GMRES algorithms for matrix equations (, and ), In Appl. Numer. Math., volume 31, . [pdf]
  69. Smoothing iterative block methods for linear systems with multiple right-hand sides (), In J. Comput. Appl. Math., volume 107, . [pdf]
  70. Hybrid vector transformations ( and ), In J. Comput. Appl. Math., volume 81, . [pdf]
  71. Projection-minimization methods for nonsymmetric linear systems (), In Linear Algebra Appl., volume 229, . [pdf]
  72. Analysis of some vector extrapolation methods for solving systems of linear equations ( and ), In Numer. Math., volume 70, . [pdf]
  73. A general projection algorithm for solving systems of linear equations (), In Numer. Algorithms, volume 4, . [pdf]
  74. Some results about vector extrapolation methods and related fixed-point iterations ( and ), In J. Comput. Appl. Math., volume 36, . [pdf]

Rapports

  1. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), Technical report 471, LMPA, .
  2. An Inexact Newton Block Arnoldi Method for Discrete-Time Algebraic Riccati Equations ( and ), Technical report 467, LMPA, .
  3. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), Technical report 457, LMPA, .
  4. A generalized global Arnoldi method for ill-posed matrix equations. (, and ), Technical report 452, LMPA, .
  5. A generalised lobal Arnoldi method for ill-posed matrix equations (, and ), Technical report 445, LMPA, .
  6. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), Technical report 442, LMPA, .
  7. A Kroneker approximation with a convex constrained optimization method for blind image restoration ( and ), Technical report 441, LMPA, .
  8. An Extrapolated TSVD Method for Linear Discrete Ill-Posed Problems with Kronecker Structure (, , and ), Technical report 423, LMPA, .
  9. Signal reconstruction in optical tomography by using B-spline Galerkin approximation (, and ), Technical report 417, LMPA, .
  10. Block Arnoldi-Based Methods for Large Scale Discrete-Time Algebraic Riccati Equations (, and ), Technical report 415, LMPA, .
  11. A Numerical method for one dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), Technical report 396, LMPA, .
  12. Stein high-order one step implicit Runge-Kutta methods for large-scale ordinary differential equations ( and ), Technical report 376, LMPA, .
  13. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), Technical report 356, LMPA, .
  14. Convex constrained optimization for large-scale ill-conditioned generalized Sylvester equations (, and ), Technical report 322, LMPA, .
  15. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), Technical report 331, LMPA, .
  16. Sylvester Tikhonov-Regularization Methods in Image Restoration ( and ), Technical report 254, LMPA, .
  17. An iterative method for Bayesian Gauss-Markov image restoration ( and ), Technical report 240, LMPA, .
  18. A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems (, and ), Technical report 516, LMPA, .
  19. Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems (, and ), Technical report 515, LMPA, .
  20. A matrix lanczos bidiagonalisation-Gauss quadrature method for image restoration (, , and ), Technical report 514, LMPA, .
  21. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), Technical report 506, LMPA, .
  22. Block Arnoldi Based Methods for large Nonsymmetric Algebraic Riccati Problems (, and ), Technical report 505, LMPA, .
  23. A minimal residual method norm for large scale Sylvester Matrix Equations (, , and ), Technical report 501, LMPA, .
  24. The Davidson-Man method revisited and extended ( and ), Technical report 500, LMPA, .
  25. A Preconditioned Block Arnoldi Method for Large Scale Lyapunov and Algebraic Riccati Equations (), Technical report 412, LMPA, .
  26. ADI Preconditioned Krylov Methods for Large Lyapunov Matrix Equations (), Technical report 386, LMPA, .
  27. Vector Extrapolation Enhanced TSVD for Linear Discrete Ill-posed Problems (, and ), Technical report 370, LMPA, .
  28. Résolution des équations matricielles de Sylvester par le processus 'Extended Block Arnoldi' ( and ), Technical report 355, LMPA, .
  29. The global Arnoldi process for solving the Sylvester-observer equation ( and ), Technical report 357, LMPA, .
  30. New convergence results on the global GMRES method for diagonalizable matrices (, and ), Technical report 337, LMPA, .
  31. An extented Block Krylov method for large-scale continuous-time algebraic Riccati equations ( and ), Technical report 324, LMPA, .
  32. Model reduction in large scale MIMO dynamical systems via the block Lanczos method (, , and ), Technical report 312, LMPA, .
  33. Approximate solutions to large Stein matrix equations (), Technical report 293, LMPA, .
  34. On block minimal residual methods (, , and ), Technical report 279, LMPA, .
  35. An Arnoldi based algorithm for large algebraic Riccati equations (), Technical report 275, LMPA, .
  36. Matrix Krylov Subspace Methods for Large Scale Model Reduction Problems ( and ), Technical report 257, LMPA, .
  37. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), Technical report 250, LMPA, .
  38. Low rank approximate solutions to large Sylvester matrix equations (), Technical report 241, LMPA, .
  39. A computational method for large and sparse Stein equations (, and ), Technical report 221, LMPA, .
  40. On some block extrapolation methods (, and ), Technical report 212, LMPA, .
  41. Some Schur complement identities and applications to matrix extrapolation methods (, and ), Technical report 191, LMPA, .
  42. Block Krylov subspace methods for large continuous-time algebraic Riccati equations (), Technical report, LMPA, .
  43. Projection methods for large Lyapunov matrix equations ( and ), Technical report 164, LMPA, .
  44. Numerical methods for Stein equations in large-scale dynamical systems (), Technical report 155, LMPA, .
  45. Block and Seed BiCGSTAB algorithms for non symmetric multiple linear systems ( and ), Technical report 135, LMPA, .
  46. Block Krylov subspace methods for solving large Sylvester equations (, and ), Technical report 132, LMPA, .
  47. Vector extrapolation methods. Applications and numerical comparison ( and ), Technical report 121, LMPA, .
  48. The block Lanczos method for linear systems with multiple right-hand sides (, and ), Technical report 090, LMPA, .
  49. A block BiCGSTAB algorithm for multiple linear systems (, and ), Technical report 086, LMPA, .
  50. Smoothing iterative block methods for linear systems with multiple right-hand sides (), Technical report 073, LMPA, .
  51. On Krylov subspace methods for solving the Sylvester matrix equation: $AX-XB=C$ (), Technical report 071, LMPA, .

Agenda