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

## Hassane Sadok

• Grade : Professeur
• Equipe : Approximation
• Adresse :
LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS80699
62228 Calais
• Bureau : B120
• Email : Hassane.Sadok@univ-littoral.fr
• Téléphone : 03.21.46.36.29
• Page personnelle : http://www-lmpa.univ-littoral.fr/~sadok/

## Publications

### Articles de revues

1. GCV for Tikhonov regularization by partial SVD. ( and ), In BIT, Springer Netherlands, Dordrecht, volume 57, 1019-1039, .
2. The block Hessenberg process for matrix equations. (, and ), In Electron. Trans. Numer. Anal., volume 46, 460-473, . [pdf]
3. Recursive polynomial interpolation algorithm (RPIA) ( and ), In Numer. Algorithms, volume 76, 675-694, . [pdf]
4. Algorithms for the CMRH method for dense linear systems (, , and ), In Numerical Algorithms, volume 71, 383-394, . [pdf]
5. The distance of an eigenvector to a Krylov subspace and the convergence of the Arnoldi method for eigenvalue problems (, and ), In Linear Algebra Appl., volume 504, 387-405, . [pdf]
6. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numerical Algorithms, volume 68(1), 107-119, .
7. Vector extrapolation applied to truncated singular value decomposition and truncated iteration. (, , and ), In Journal of Engineering Mathematics, volume 93, 99-122, .
8. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , and ), In J. Engrg. Math., volume 93, 99-112, . [pdf]
9. Some properties of range restricted GMRES methods (, and ), In J. Comput. Appl. Math., volume 290, 310-318, . [pdf]
10. Nonlinear Schwarz iterations with reduced rank extrapolation (, and ), In Appl. Numer. Math., volume 94, 209-221, . [pdf]
11. Bounding matrix functionals via partial global block Lanczos decomposition (, , and ), In Appl. Numer. Math., volume 94, 127-139, . [pdf]
12. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numer. Algorithms, volume 68, 107-119, . [pdf]
13. Fast solvers for discretized Navier-Stokes problems using vector extrapolation (, and ), In Numerical Algorithms, volume 66, 89-104, . [pdf]
14. Fast solvers for discretized Navier-Stokes problems using vector extrapolation (, and ), In Numer. Algorithms, volume 66, 89-104, . [pdf]
15. Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] (, and ), In Appl. Numer. Math., volume 75, -, . [pdf]
16. Fast solvers for discretized Navier-Stokes problems using vector extrapolation (, and ), In Numerical Algorithms, 1-16, . [pdf]
17. Vector extrapolation applied to algebraic Riccati equations arising in transport theory ( and ), In Electron. Trans. Numer. Anal., volume 40, 589-506, .
18. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, 102-5, . [pdf]
19. A new look at CMRH and its relation to GMRES ( and ), In BIT, volume 52, 485-501, . [pdf]
20. Implementations of range restricted iterative methods for linear discrete ill-posed problems (, and ), In Linear Algebra Appl., volume 436, 3974-3990, . [pdf]
21. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, 2078-2089, . [pdf]
22. Inverse problems: Computation and applications [Preface] (, , , , and ), In J. Comput. Appl. Math., volume 236, 2047-2048, . [pdf]
23. Algorithms for range restricted iterative methods for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 59, 325-331, . [pdf]
24. CMRH method as iterative solver for boundary element acoustic systems (, and ), In Eng. Anal. Bound. Elem., volume 36, 346-350, . [pdf]
25. Reduced rank extrapolation applied to electronic structure computations ( and ), In Electron. Trans. Numer. Anal., volume 38, 347-362, .
26. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, 1677-1688, . [pdf]
27. 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]
28. Further analysis of the Arnoldi process for eigenvalue problems (, and ), In SIAM J. Numer. Anal., volume 48, 393-407, . [pdf]
29. Vector extrapolation enhanced TSVD for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 51, 195-208, . [pdf]
30. New results on the convergence of the conjugate gradient method (, , and ), In Numer. Linear Algebra Appl., volume 16, 223-236, . [pdf]
31. A new implementation of the CMRH method for solving dense linear systems ( and ), In J. Comput. Appl. Math., volume 213, 387-399, . [pdf]
32. Algebraic properties of the block GMRES and block Arnoldi methods (, and ), In Electron. Trans. Numer. Anal., volume 33, 207-220, .
33. Analysis of some Krylov subspace methods for normal matrices via approximation theory and convex optimization (, and ), In Electron. Trans. Numer. Anal., volume 33, 17-30, .
34. A new L-curve for ill-posed problems ( and ), In J. Comput. Appl. Math., volume 219, 493-508, . [pdf]
35. New convergence results on the global GMRES method for diagonalizable matrices (, and ), In J. Comput. Appl. Math., volume 219, 350-358, . [pdf]
36. A new implementation of the CMRH method for solving dense linear systems ( and ), In J. Comput. Appl. Math., volume 213, 387-399, . [pdf]
37. Greedy Tikhonov regularization for large linear ill-posed problems (, and ), In Int. J. Comput. Math., volume 84, 1151-1166, . [pdf]
38. On block minimal residual methods (, , and ), In Appl. Math. Lett., volume 20, 284-289, . [pdf]
39. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, 498-511, . [pdf]
40. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, 498-511, . [pdf]
41. Analysis of the convergence of the minimal and the orthogonal residual methods (), In Numer. Algorithms, volume 40, 201-216, . [pdf]
42. Oblique projection methods for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 20, 119-138, .
43. The block Lanczos method for linear systems with multiple right-hand sides (, and ), In Appl. Numer. Math., volume 51, 243-256, . [pdf]
44. A block version of BICGSTAB for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 16, 129-142, .
45. The matrix and polynomial approaches to Lanczos-type algorithms (, and ), In J. Comput. Appl. Math., volume 123, 241-260, . [pdf]
46. Vector extrapolation methods. Applications and numerical comparison ( and ), In J. Comput. Appl. Math., volume 122, 149-165, . [pdf]
47. $LU$ 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]
48. CMRH: a new method for solving nonsymmetric linear systems based on the Hessenberg reduction algorithm (), In Numer. Algorithms, volume 20, 303-321, . [pdf]
49. New look-ahead Lanczos-type algorithms for linear systems (, and ), In Numer. Math., volume 83, 53-85, . [pdf]
50. Global FOM and GMRES algorithms for matrix equations (, and ), In Appl. Numer. Math., volume 31, 49-63, . [pdf]
51. New interpretation of related Huang's methods ( and ), In Linear Algebra Appl., volume 269, 183-195, . [pdf]
52. On a variable smoothing procedure for Krylov subspace methods ( and ), In Linear Algebra Appl., volume 268, 131-149, . [pdf]
53. Hybrid vector transformations ( and ), In J. Comput. Appl. Math., volume 81, 257-267, . [pdf]
54. Breakdowns in the implementation of the Lánczos method for solving linear systems (, and ), In Comput. Math. Appl., volume 33, 31-44, . [pdf]
55. Analysis of some vector extrapolation methods for solving systems of linear equations ( and ), In Numer. Math., volume 70, 73-89, . [pdf]
56. Quasilinear vector extrapolation methods (), In Linear Algebra Appl., volume 190, 71-85, . [pdf]
57. Lanczos-type algorithms for solving systems of linear equations ( and ), In Appl. Numer. Math., volume 11, 443-473, . [pdf]
58. Some vector sequence transformations with applications to systems of equations ( and ), In Numer. Algorithms, volume 3, 75-80, . [pdf]
59. A breakdown-free Lanczos type algorithm for solving linear systems (, and ), In Numer. Math., volume 63, 29-38, . [pdf]
60. Addendum to: "Avoiding breakdown and near-breakdown in Lanczos type algorithms" [Numer.\ Algorithms \bf 1 (1991), no.\ 3, 261–284; MR1135297 (92j:65041)] (, and ), In Numer. Algorithms, volume 2, 133-136, . [pdf]
61. Avoiding breakdown and near-breakdown in Lanczos type algorithms (, and ), In Numer. Algorithms, volume 1, 261-284, . [pdf]
62. Avoiding breakdown in the CGS algorithm ( and ), In Numer. Algorithms, volume 1, 199-206, . [pdf]
63. Some results about vector extrapolation methods and related fixed-point iterations ( and ), In J. Comput. Appl. Math., volume 36, 385-398, . [pdf]
64. About Henrici's transformation for accelerating vector sequences (), In J. Comput. Appl. Math., volume 29, 101-110, . [pdf]

### Articles de conférences

1. A review of formal orthogonality in Lanczos-based methods (, and ), In Proceedings of the 9th International Congress on Computational and Applied Mathematics (Leuven, 2000), volume 140, 81-98, . [pdf]

### Chapitres de livres

1. Problems of breakdown and near-breakdown in Lanczos-based algorithms (, and ), Chapter in Algorithms for large scale linear algebraic systems (Gran Canaria, 1996), Kluwer Acad. Publ., volume 508, 255-270, .
2. Orthogonal polynomials and the Lanczos method (, and ), Chapter in Numerical analysis and mathematical modelling, Polish Acad. Sci., volume 29, 19-33, .
3. A block bordering method for the treatment of breakdown in the biconjugate gradient algorithm (, and ), Chapter in Iterative methods in linear algebra (Brussels, 1991), North-Holland, 445-447, .
4. Vector sequence transformations and fixed point methods ( and ), Chapter in Numerical methods in laminar and turbulent flow, Vol.\ 5, Part 1, 2 (Montreal, Que., 1987), Pineridge, 3-11, .

### Rapports

1. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), Technical report 506, LMPA, .
2. Fast solvers for discretized Navier-Stokes problems using vector extrapolation (, and ), Technical report 458, 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. An Extrapolated TSVD Method for Linear Discrete Ill-Posed Problems with Kronecker Structure (, , and ), Technical report 423, LMPA, .
7. Range Restricted Iterative Methods for Linear Discrete Ill-Posed Problems (, and ), Technical report 426, LMPA, .
8. A New Look at CMRH and its Relation to GMRES ( and ), Technical report 427, LMPA, .
9. Three Paths to the Convergence Analysis of the Arnoldi Process for Eigenvalue Problems (, and ), Technical report, LMPA, .
10. Vector Extrapolation Enhanced TSVD for Linear Discrete Ill-posed Problems (, and ), Technical report 370, LMPA, .
11. Annalysis of some Ktylov Subspace Methods for Nomrl Matrices via Approximation theory and Convex Optimization (, and ), Technical report, LMPA, .
12. New convergence results on the global GMRES method for diagonalizable matrices (, and ), Technical report 337, LMPA, .
13. New Results on the Convergence of the Conjugate Gradient Method (, , and ), Technical report, LMPA, . [pdf]
14. Approximation and Convex Programming Approaches for Solving a Min-Max Problem (, and ), Technical report, LMPA, . [pdf]
15. On the Convergence of the Arnoldi Process for Eigenvalue Problems (, and ), Technical report, LMPA, . [pdf]
16. Greedy Tikhonov Regularization for Large Linear Ill-Posed Problems (, and ), Technical report, LMPA, . [pdf]
17. A new L-curve for ill-posed problems ( and ), Technical report, LMPA, .
18. On block minimal residual methods (, , and ), Technical report 279, LMPA, .
19. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), Technical report 250, LMPA, .
20. A new implementation of the CMRH method for solving dense linear systems ( and ), Technical report, LMPA, .
21. Vector extrapolation methods. Applications and numerical comparison ( and ), Technical report 121, LMPA, .
22. The matrix and polynomial approaches to Lanczos-type algorithms (, and ), Technical report, LMPA, .
23. The block Lanczos method for linear systems with multiple right-hand sides (, and ), Technical report 090, LMPA, .
24. A block BiCGSTAB algorithm for multiple linear systems (, and ), Technical report 086, LMPA, .

# Agenda

juin 2018 :

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