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

Khalide JBILOU

120 publications

  1. The global Golub-Kahan method and Gauss quadrature for tensor function approximation (, , and ), In Numer. Algorithms, volume 92, . [url] [doi][hal-lmpa]
  2. Spectral computation with third-order tensors using the t-product (, , and ), In Appl. Numer. Math., volume 193, . [url] [doi][hal-lmpa]
  3. Multilinear discriminant analysis using tensor-tensor products (, and ), In J. Math. Model., volume 11, . [hal-lmpa]
  4. A data-driven Krylov model order reduction for large-scale dynamical systems (, and ), In J. Sci. Comput., volume 95, . [url] [doi][hal-lmpa]
  5. Vector Aitken extrapolation method for multilinear PageRank computations (, and ), In J. Appl. Math. Comput., volume 69, . [url] [doi][hal-lmpa]
  6. On tensor tubal-Krylov subspace methods (, and ), In Linear Multilinear Algebra, volume 70, . [url] [doi][hal-lmpa]
  7. An extended-rational Arnoldi method for large matrix exponential evaluations (, and ), In J. Sci. Comput., volume 91, . [url] [doi][hal-lmpa]
  8. A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method (, and ), In J. Appl. Math. Comput., volume 68, . [url] [doi][hal-lmpa]
  9. Preconditioned iterative methods for multi-linear systems based on the majorization matrix (, and ), In Linear Multilinear Algebra, volume 70, . [url] [doi][hal-lmpa]
  10. Tensor Krylov subspace methods via the Einstein product with applications to image and video processing (, , and ), In Appl. Numer. Math., volume 181, . [url] [doi][hal-lmpa]
  11. Fast multidimensional completion and principal component analysis methods via the cosine product (, , and ), In Calcolo, volume 59, . [url] [doi][hal-lmpa]
  12. RBF approximation of three dimensional PDEs using tensor Krylov subspace methods (, and ), In Eng. Anal. Bound. Elem., volume 139, . [url] [doi][hal-lmpa]
  13. An extended-rational Arnoldi method for large matrix exponential evaluations (, and ), In J. Sci. Comput., volume 91, . [url] [doi][hal-lmpa]
  14. A tensor regularized nuclear norm method for image and video completion (, , and ), In J. Optim. Theory Appl., volume 192, . [url] [doi][hal-lmpa]
  15. An efficient extended block Arnoldi algorithm for feedback stabilization of incompressible Navier-Stokes flow problems (, and ), In Appl. Numer. Math., volume 174, . [url] [doi][hal-lmpa]
  16. The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules (, , and ), In J. Comput. Appl. Math., volume 407, . [url] [doi][hal-lmpa]
  17. Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation (, and ), In Mathematics, volume 9, . [url] [doi][hal]
  18. A Multidimensional Principal Component Analysis via the C-Product Golub–Kahan–SVD for Classification and Face Recognition (, , and ), In Mathematics, volume 9, . [url] [doi][hal]
  19. Krylov subspace solvers for ℓ1 regularized logistic regression method (, , and ), In Communications in Statistics - Simulation and Computation, Taylor & Francis, volume 0, . [url][hal-lmpa]
  20. Tensor extrapolation methods with applications (, , and ), In Numer. Algorithms, volume 87, . [url] [doi][hal-lmpa]
  21. Shifted extended global Lanczos processes for trace estimation with application to network analysis (, , and ), In Calcolo, volume 58, . [url] [doi][hal-lmpa]
  22. The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation (, and ), In J. Comput. Appl. Math., volume 381, . [url] [doi][hal-lmpa]
  23. Discrete cosine transform LSQR methods for multidimensional ill-posed problems (, and ), In Journal of Mathematical Modeling, University of Guilan, volume , . [html] [doi][hal-lmpa]
  24. A computational method for model reduction in index-2 dynamical systems for Stokes equations (, , and ), In Comput. Math. Appl., volume 99, . [url] [doi][hal-lmpa]
  25. On tensor GMRES and Golub-Kahan methods via the T-product for color image processing (, , and ), In Electron. J. Linear Algebra, volume 37, .
  26. Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications (, , and ), In Numer. Algorithms, volume 84, . [url] [doi][hal-lmpa]
  27. Extended nonsymmetric global Lanczos method for matrix function approximation (, and ), In Numer. Algorithms, volume 84, . [url] [doi][hal-lmpa]
  28. Special volume on mathematical modeling with applications (, and ), In Numer. Algorithms, volume 84, . [url] [doi][hal-lmpa]
  29. Numerical Analysis and Scientific Computation (NASCA18) [Editorial] (, , and ), In J. Comput. Appl. Math., volume 373, , Held in Kalamata in July 2-6, 2018. [url] [doi][hal-lmpa]
  30. A generalized matrix Krylov subspace method for TV regularization (, and ), In J. Comput. Appl. Math., volume 373, . [url] [doi][hal-lmpa]
  31. On global iterative schemes based on Hessenberg process for (ill-posed) Sylvester tensor equations (, and ), In J. Comput. Appl. Math., volume 373, . [url] [doi][hal-lmpa]
  32. Numerical methods for differential linear matrix equations via Krylov subspace methods ( and ), In J. Comput. Appl. Math., volume 370, . [url] [doi][hal-lmpa]
  33. Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory (, and ), In Numer. Linear Algebra Appl., volume 27, . [url] [doi][hal-lmpa]
  34. An eigenvalue approach for estimating the generalized cross validation function for correlated matrices (, , and ), In Electron. J. Linear Algebra, volume 35, . [url] [doi][hal-lmpa]
  35. A tangential block Lanczos method for model reduction of large-scale first and second order dynamical systems ( and ), In J. Sci. Comput., volume 81, . [url] [doi][hal-lmpa]
  36. Nonlinear least-squares approach for large-scale algebraic Riccati equations ( and ), In SIAM J. Sci. Comput., volume 41, . [url] [doi][hal-lmpa]
  37. An adaptive block tangential method for multi-input multi-output dynamical systems (, and ), In J. Comput. Appl. Math., volume 358, . [url] [doi][hal-lmpa]
  38. GRPIA: a new algorithm for computing interpolation polynomials (, , and ), In Numer. Algorithms, volume 80, . [url] [doi][hal-lmpa]
  39. The extended global Lanczos method for matrix function approximation (, , , and ), In Electron. Trans. Numer. Anal., volume 50, . [url] [doi][hal-lmpa]
  40. Low-rank approximate solutions to large-scale differential matrix Riccati equations (, , and ), In Appl. Math. (Warsaw), volume 45, . [url] [doi][hal-lmpa]
  41. Numerical solutions to large-scale differential Lyapunov matrix equations ( and ), In Numer. Algorithms, volume 79, . [url] [doi][hal-lmpa]
  42. Computational Krylov-based methods for large-scale differential Sylvester matrix problems ( and ), In Numer. Linear Algebra Appl., volume 25, . [url] [doi][hal]
  43. Correction to: Solution methods for linear discrete ill-posed problems for color image restoration (, , , and ), In BIT, volume 58, . [url] [doi][hal-lmpa]
  44. Solution methods for linear discrete ill-posed problems for color image restoration (, , , and ), In BIT, volume 58, . [url] [doi][hal-lmpa]
  45. A computational global tangential Krylov subspace method for model reduction of large-scale MIMO dynamical systems (, and ), In J. Sci. Comput., volume 75, . [url] [doi][hal-lmpa]
  46. Balanced truncation-rational Krylov methods for model reduction in large scale dynamical systems ( and ), In Comput. Appl. Math., volume 37, . [url] [doi][hal-lmpa]
  47. An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems (, , and ), In Calcolo, volume 55, . [url] [doi][hal-lmpa]
  48. Conditional gradient method for double-convex fractional programming matrix problems (, , , and ), In J. Optim. Theory Appl., volume 176, . [url] [doi][hal-lmpa]
  49. A block Arnoldi based method for the solution of the Sylvester-observer equation (, , and ), In Electron. Trans. Numer. Anal., volume 47, . [url] [doi]
  50. The block Lanczos algorithm for linear ill-posed problems (, and ), In Calcolo, volume 54, . [url] [doi]
  51. A global rational Arnoldi method for model reduction (, and ), In J. Comput. Appl. Math., volume 325, . [url] [doi]
  52. Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems (, , and ), In J. Comput. Appl. Math., volume 322, . [url] [doi]
  53. On some properties of the extended block and global Arnoldi methods with applications to model reduction (, and ), In Numer. Algorithms, volume 75, . [url] [doi]
  54. A matrix rational Lanczos method for model reduction in large-scale first- and second-order dynamical systems (, and ), In Numer. Linear Algebra Appl., volume 24, . [url] [doi]
  55. A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems (, and ), In Appl. Math. (Warsaw), volume 43, . [url] [doi]
  56. A survey of Krylov-based methods for model reduction in large-scale MIMO dynamical systems (), In Appl. Comput. Math., volume 15, .
  57. Block extrapolation methods with applications ( and ), In Appl. Numer. Math., volume 106, . [url] [doi]
  58. Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems (, and ), In New Trends Math. Sci., volume 4, . [url] [doi]
  59. A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations (, and ), In J. Global Optim., volume 65, . [url] [doi]
  60. An adaptive rational block Lanczos-type algorithm for model reduction of large scale dynamical systems (, and ), In J. Sci. Comput., volume 67, . [url] [doi]
  61. A global Lanczos method for image restoration (, , and ), In J. Comput. Appl. Math., volume 300, . [url] [doi]
  62. On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems (, and ), In Comput. Math. Appl., volume 70, . [url] [doi]
  63. Matrix Krylov subspace methods for image restoration (, and ), In New Trends Math. Sci., volume 3, .
  64. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , , and ), In J. Engrg. Math., volume 93, . [url] [doi]
  65. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numer. Algorithms, volume 68, . [url] [doi]
  66. A minimal residual norm method for large-scale Sylvester matrix equations (, , and ), In Electron. Trans. Numer. Anal., volume 43, .
  67. A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations (, and ), In Comput. Math. Appl., volume 68, . [url] [doi]
  68. Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] (, and ), In Appl. Numer. Math., volume 75, , Held in Marrakech, May 18–21, 2011. [url] [doi]
  69. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), In J. Comput. Appl. Math., volume 255, . [url] [doi]
  70. A fast block Krylov implicit Runge-Kutta method for solving large-scale ordinary differential equations ( and ), Chapter in Optimization, simulation, and control, Springer, New York, volume 76, .
  71. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), In Appl. Numer. Math., volume 74, . [url] [doi]
  72. On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations ( and ), In Linear Algebra Appl., volume 439, . [url] [doi]
  73. A preconditioned block Arnoldi method for large Sylvester matrix equations (, , and ), In Numer. Linear Algebra Appl., volume 20, . [url] [doi]
  74. Semidefinite concave programming (, and ), In Mong. Math. J., volume 16, .
  75. A Kronecker approximation with a convex constrained optimization method for blind image restoration ( and ), In Optim. Lett., volume 6, . [url] [doi]
  76. Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation (, and ), In Appl. Numer. Math., volume 62, . [url] [doi]
  77. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, , Held in Agadir, May 18–22, 2009. [url] [doi]
  78. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, . [url] [doi]
  79. Inverse problems: Computation and applications [Preface] (, , , , and ), In J. Comput. Appl. Math., volume 236, . [url] [doi]
  80. A computational method for symmetric Stein matrix equations ( and ), Chapter in Numerical linear algebra in signals, systems and control, Springer, Dordrecht, volume 80, . [url] [doi]
  81. Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations (, and ), In J. Comput. Appl. Math., volume 236, . [url] [doi]
  82. Convex constrained optimization for large-scale generalized Sylvester equations (, and ), In Comput. Optim. Appl., volume 48, . [url] [doi]
  83. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, . [url] [doi]
  84. Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations ( and ), In Appl. Numer. Math., volume 61, . [url] [doi]
  85. The global Arnoldi process for solving the Sylvester-observer equation (, and ), In Comput. Appl. Math., volume 29, . [url] [doi]
  86. Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)] (, , , and ), In Appl. Numer. Math., volume 60, , Held at the University of Lille I, Villeneuve d'Ascq, March 17–20, 2008. [url] [doi]
  87. ADI preconditioned Krylov methods for large Lyapunov matrix equations (), In Linear Algebra Appl., volume 432, . [url] [doi]
  88. A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), In Appl. Math. Comput., volume 215, . [url] [doi]
  89. Vector extrapolation enhanced TSVD for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 51, . [url] [doi]
  90. An iterative method for Bayesian Gauss-Markov image restoration ( and ), In Appl. Math. Model., volume 33, . [url] [doi]
  91. An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation ( and ), In Electron. Trans. Numer. Anal., volume 33, .
  92. Special volume on matrix analysis and applications (, , , , and ), In Electron. Trans. Numer. Anal., volume 33, .
  93. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), In Appl. Math. Comput., volume 206, . [url] [doi]
  94. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), In Comput. Methods Appl. Mech. Engrg., volume 197, . [url] [doi]
  95. New convergence results on the global GMRES method for diagonalizable matrices (, and ), In J. Comput. Appl. Math., volume 219, . [url] [doi]
  96. Model reduction in large scale MIMO dynamical systems via the block Lanczos method (, , and ), In Comput. Appl. Math., volume 27, . [url] [doi]
  97. Sylvester Tikhonov-regularization methods in image restoration ( and ), In J. Comput. Appl. Math., volume 206, . [url] [doi]
  98. On block minimal residual methods (, , and ), In Appl. Math. Lett., volume 20, . [url] [doi]
  99. Matrix Krylov subspace methods for large scale model reduction problems ( and ), In Appl. Math. Comput., volume 181, . [url] [doi]
  100. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, . [url] [doi]
  101. Low rank approximate solutions to large Sylvester matrix equations (), In Appl. Math. Comput., volume 177, . [url] [doi]
  102. Projection methods for large Lyapunov matrix equations ( and ), In Linear Algebra Appl., volume 415, . [url] [doi]
  103. An Arnoldi based algorithm for large algebraic Riccati equations (), In Appl. Math. Lett., volume 19, . [url] [doi]
  104. On some matrix extrapolation methods (, and ), In C. R. Math. Acad. Sci. Paris, volume 341, . [url] [doi]
  105. Oblique projection methods for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 20, .
  106. Some Schur complement identities and applications to matrix extrapolation methods (, and ), In Linear Algebra Appl., volume 392, . [url] [doi]
  107. The block Lanczos method for linear systems with multiple right-hand sides (, and ), In Appl. Numer. Math., volume 51, . [url] [doi]
  108. Block Krylov subspace methods for large algebraic Riccati equations (), Chapter in , volume 34, , International Conference on Numerical Algorithms, Vol. II (Marrakesh, 2001). [url] [doi]
  109. A block version of BICGSTAB for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 16, .
  110. Block Krylov subspace methods for solving large Sylvester equations (, and ), Chapter in , volume 29, , Matrix iterative analysis and biorthogonality (Luminy, 2000). [url] [doi]
  111. Vector extrapolation methods. Applications and numerical comparison ( and ), Chapter in , volume 122, , Numerical analysis 2000, Vol. II: Interpolation and extrapolation. [url] [doi]
  112. $LU$ implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems ( and ), In IMA J. Numer. Anal., volume 19, . [url] [doi]
  113. Global FOM and GMRES algorithms for matrix equations (, and ), In Appl. Numer. Math., volume 31, . [url] [doi]
  114. Smoothing iterative block methods for linear systems with multiple right-hand sides (), In J. Comput. Appl. Math., volume 107, . [url] [doi]
  115. Matrix recursive interpolation algorithm for block linear systems: direct methods ( and ), In Linear Algebra Appl., volume 294, . [url] [doi]
  116. Hybrid vector transformations ( and ), In J. Comput. Appl. Math., volume 81, . [url] [doi]
  117. Projection-minimization methods for nonsymmetric linear systems (), In Linear Algebra Appl., volume 229, . [url] [doi]
  118. Analysis of some vector extrapolation methods for solving systems of linear equations ( and ), In Numer. Math., volume 70, . [url] [doi]
  119. A general projection algorithm for solving systems of linear equations (), In Numer. Algorithms, volume 4, . [url] [doi]
  120. Some results about vector extrapolation methods and related fixed-point iterations ( and ), In J. Comput. Appl. Math., volume 36, . [url] [doi]

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