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

## 105 publications

1. Preconditioned iterative methods for multi-linear systems based on the majorization matrix (, and ), In Linear and Multilinear Algebra, Taylor & Francis, volume 0, .
2. Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation (, and ), In Mathematics, volume 9, .
3. A Multidimensional Principal Component Analysis via the C-Product Golub–Kahan–SVD for Classification and Face Recognition (, , and ), In Mathematics, volume 9, .
4. A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method (, and ), In Journal of Applied Mathematics and Computing, .
5. Krylov subspace solvers for ℓ1 regularized logistic regression method (, , and ), In Communications in Statistics - Simulation and Computation, Taylor & Francis, volume 0, .
6. Discrete cosine transform LSQR methods for multidimensional ill-posed problems (, and ), In Journal of Mathematical Modeling, University of Guilan, volume , .
7. Shifted extended global Lanczos processes for trace estimation with application to network analysis (, , and ), In Calcolo, volume 58, .
8. The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation (, and ), In J. Comput. Appl. Math., volume 381, .
9. Extended nonsymmetric global Lanczos method for matrix function approximation (, and ), In Numerical Algorithms, volume 84, .
10. Tensor extrapolation methods with applications (, , and ), In Numerical Algorithms, .
11. Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications (, , and ), In Numer. Algorithms, volume 84, .
12. Extended nonsymmetric global Lanczos method for matrix function approximation (, and ), In Numer. Algorithms, volume 84, .
13. Special volume on mathematical modeling with applications (, and ), In Numer. Algorithms, volume 84, .
14. Numerical Analysis and Scientific Computation (NASCA18) [Editorial] (, and ), In J. Comput. Appl. Math., volume 373, .
15. A generalized matrix Krylov subspace method for TV regularization (, and ), In J. Comput. Appl. Math., volume 373, .
16. On global iterative schemes based on Hessenberg process for (ill-posed) Sylvester tensor equations (, and ), In J. Comput. Appl. Math., volume 373, .
17. Numerical methods for differential linear matrix equations via Krylov subspace methods ( and ), In J. Comput. Appl. Math., volume 370, .
18. Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory (, and ), In Numer. Linear Algebra Appl., volume 27, .
19. An eigenvalue approach for estimating the generalized cross validation function for correlated matrices (, and ), In Electron. J. Linear Algebra, volume 35, .
20. A tangential block Lanczos method for model reduction of large-scale first and second order dynamical systems ( and ), In J. Sci. Comput., volume 81, .
21. Nonlinear least-squares approach for large-scale algebraic Riccati equations ( and ), In SIAM J. Sci. Comput., volume 41, .
22. An adaptive block tangential method for multi-input multi-output dynamical systems (, and ), In J. Comput. Appl. Math., volume 358, .
23. GRPIA: a new algorithm for computing interpolation polynomials (, , and ), In Numer. Algorithms, volume 80, .
24. The extended global Lanczos method for matrix function approximation (, , , and ), In Electron. Trans. Numer. Anal., volume 50, .
25. Low-rank approximate solutions to large-scale differential matrix Riccati equations (, , and ), In Appl. Math. (Warsaw), volume 45, .
26. Numerical solutions to large-scale differential Lyapunov matrix equations ( and ), In Numer. Algorithms, volume 79, .
27. Computational Krylov-based methods for large-scale differential Sylvester matrix problems ( and ), In Numer. Linear Algebra Appl., volume 25, .
28. Correction to: Solution methods for linear discrete ill-posed problems for color image restoration [ MR3855682] (, , , and ), In BIT, volume 58, .
29. Solution methods for linear discrete ill-posed problems for color image restoration (, , , and ), In BIT, volume 58, .
30. A computational global tangential Krylov subspace method for model reduction of large-scale MIMO dynamical systems (, and ), In J. Sci. Comput., volume 75, .
31. Balanced truncation-rational Krylov methods for model reduction in large scale dynamical systems ( and ), In Comput. Appl. Math., volume 37, .
32. An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems (, , and ), In Calcolo, volume 55, .
33. Conditional gradient method for double-convex fractional programming matrix problems (, , , and ), In J. Optim. Theory Appl., volume 176, .
34. A block Arnoldi based method for the solution of the Sylvester-observer equation (, and ), In Electron. Trans. Numer. Anal., volume 47, .
35. The block Lanczos algorithm for linear ill-posed problems (, and ), In Calcolo, volume 54, .
36. A global rational Arnoldi method for model reduction (, and ), In J. Comput. Appl. Math., volume 325, .
37. Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems (, , and ), In J. Comput. Appl. Math., volume 322, .
38. On some properties of the extended block and global Arnoldi methods with applications to model reduction (, and ), In Numer. Algorithms, volume 75, .
39. 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, .
40. A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems (, and ), In Appl. Math. (Warsaw), volume 43, .
41. A survey of Krylov-based methods for model reduction in large-scale MIMO dynamical systems (), In Appl. Comput. Math., volume 15, .
42. Block extrapolation methods with applications ( and ), In Appl. Numer. Math., volume 106, .
43. Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems (, and ), In New Trends Math. Sci., volume 4, .
44. A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations (, and ), In J. Global Optim., volume 65, .
45. An adaptive rational block Lanczos-type algorithm for model reduction of large scale dynamical systems (, and ), In J. Sci. Comput., volume 67, .
46. A global Lanczos method for image restoration (, , and ), In J. Comput. Appl. Math., volume 300, .
47. On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems (, and ), In Comput. Math. Appl., volume 70, .
48. Matrix Krylov subspace methods for image restoration (, and ), In New Trends Math. Sci., volume 3, .
49. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , , and ), In J. Engrg. Math., volume 93, .
50. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numer. Algorithms, volume 68, .
51. A minimal residual norm method for large-scale Sylvester matrix equations (, , and ), In Electron. Trans. Numer. Anal., volume 43, .
52. A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations (, and ), In Comput. Math. Appl., volume 68, .
53. Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] (, and ), In Appl. Numer. Math., volume 75, .
54. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), In J. Comput. Appl. Math., volume 255, .
55. 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, .
56. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), In Appl. Numer. Math., volume 74, .
57. On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations ( and ), In Linear Algebra Appl., volume 439, .
58. A preconditioned block Arnoldi method for large Sylvester matrix equations (, , and ), In Numer. Linear Algebra Appl., volume 20, .
59. Semidefinite concave programming (, and ), In Mong. Math. J., volume 16, .
60. A Kronecker approximation with a convex constrained optimization method for blind image restoration ( and ), In Optim. Lett., volume 6, .
61. Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation (, and ), In Appl. Numer. Math., volume 62, .
62. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, .
63. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, .
64. Inverse problems: Computation and applications [Preface] (, , , , and ), In J. Comput. Appl. Math., volume 236, .
65. A computational method for symmetric Stein matrix equations ( and ), Chapter in Numerical linear algebra in signals, systems and control, Springer, Dordrecht, volume 80, .
66. Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations (, and ), In J. Comput. Appl. Math., volume 236, .
67. Convex constrained optimization for large-scale generalized Sylvester equations (, and ), In Comput. Optim. Appl., volume 48, .
68. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, .
69. Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations ( and ), In Appl. Numer. Math., volume 61, .
70. The global Arnoldi process for solving the Sylvester-observer equation (, and ), In Comput. Appl. Math., volume 29, .
71. Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)] (, , , and ), In Appl. Numer. Math., volume 60, .
72. ADI preconditioned Krylov methods for large Lyapunov matrix equations (), In Linear Algebra Appl., volume 432, .
73. A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), In Appl. Math. Comput., volume 215, .
74. Vector extrapolation enhanced TSVD for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 51, .
75. An iterative method for Bayesian Gauss-Markov image restoration ( and ), In Appl. Math. Model., volume 33, .
76. An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation ( and ), In Electron. Trans. Numer. Anal., volume 33, .
77. Special volume on matrix analysis and applications (, , , , and ), In Electron. Trans. Numer. Anal., volume 33, .
78. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), In Appl. Math. Comput., volume 206, .
79. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), In Comput. Methods Appl. Mech. Engrg., volume 197, .
80. New convergence results on the global GMRES method for diagonalizable matrices (, and ), In J. Comput. Appl. Math., volume 219, .
81. Model reduction in large scale MIMO dynamical systems via the block Lanczos method (, , and ), In Comput. Appl. Math., volume 27, .
82. Sylvester Tikhonov-regularization methods in image restoration ( and ), In J. Comput. Appl. Math., volume 206, .
83. On block minimal residual methods (, , and ), In Appl. Math. Lett., volume 20, .
84. Matrix Krylov subspace methods for large scale model reduction problems ( and ), In Appl. Math. Comput., volume 181, .
85. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, .
86. Low rank approximate solutions to large Sylvester matrix equations (), In Appl. Math. Comput., volume 177, .
87. Projection methods for large Lyapunov matrix equations ( and ), In Linear Algebra Appl., volume 415, .
88. An Arnoldi based algorithm for large algebraic Riccati equations (), In Appl. Math. Lett., volume 19, .
89. On some matrix extrapolation methods (, and ), In C. R. Math. Acad. Sci. Paris, volume 341, .
90. Oblique projection methods for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 20, .
91. Some Schur complement identities and applications to matrix extrapolation methods (, and ), In Linear Algebra Appl., volume 392, .
92. The block Lanczos method for linear systems with multiple right-hand sides (, and ), In Appl. Numer. Math., volume 51, .
93. Block Krylov subspace methods for large algebraic Riccati equations (), Chapter in , volume 34, .
94. A block version of BICGSTAB for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 16, .
95. Block Krylov subspace methods for solving large Sylvester equations (, and ), Chapter in , volume 29, .
96. Vector extrapolation methods. Applications and numerical comparison ( and ), Chapter in , volume 122, .
97. $LU$ implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems ( and ), In IMA J. Numer. Anal., volume 19, .
98. Global FOM and GMRES algorithms for matrix equations (, and ), In Appl. Numer. Math., volume 31, .
99. Smoothing iterative block methods for linear systems with multiple right-hand sides (), In J. Comput. Appl. Math., volume 107, .
100. Matrix recursive interpolation algorithm for block linear systems: direct methods ( and ), In Linear Algebra Appl., volume 294, .
101. Hybrid vector transformations ( and ), In J. Comput. Appl. Math., volume 81, .
102. Projection-minimization methods for nonsymmetric linear systems (), In Linear Algebra Appl., volume 229, .
103. Analysis of some vector extrapolation methods for solving systems of linear equations ( and ), In Numer. Math., volume 70, .
104. A general projection algorithm for solving systems of linear equations (), In Numer. Algorithms, volume 4, .
105. Some results about vector extrapolation methods and related fixed-point iterations ( and ), In J. Comput. Appl. Math., volume 36, .

# Informations

Postes ouverts au LMPA

# À venir

23, 24 et 27, 28 juin : Stage secondes

21/09 : CJC-MA 2022