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@lmpa.univ-littoral.fr
  • Téléphone : 03.21.46.36.29
  • Page personnelle : http://www-lmpa.univ-littoral.fr/~sadok/

Publications

Articles de revues

  1. Algorithms for the CMRH method for dense linear systems (, , and ), In Numerical Algorithms, volume 71, 383-394, . [pdf]
  2. 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]
  3. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numerical Algorithms, volume 68(1), 107-119, .
  4. Vector extrapolation applied to truncated singular value decomposition and truncated iteration. (, , and ), In Journal of Engineering Mathematics, volume 93, 99-122, .
  5. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , and ), In J. Engrg. Math., volume 93, 99-112, . [pdf]
  6. Some properties of range restricted GMRES methods (, and ), In J. Comput. Appl. Math., volume 290, 310-318, . [pdf]
  7. Nonlinear Schwarz iterations with reduced rank extrapolation (, and ), In Appl. Numer. Math., volume 94, 209-221, . [pdf]
  8. Bounding matrix functionals via partial global block Lanczos decomposition (, , and ), In Appl. Numer. Math., volume 94, 127-139, . [pdf]
  9. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numer. Algorithms, volume 68, 107-119, . [pdf]
  10. Fast solvers for discretized Navier-Stokes problems using vector extrapolation (, and ), In Numerical Algorithms, volume 66, 89-104, . [pdf]
  11. Fast solvers for discretized Navier-Stokes problems using vector extrapolation (, and ), In Numer. Algorithms, volume 66, 89-104, . [pdf]
  12. Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] (, and ), In Appl. Numer. Math., volume 75, -, . [pdf]
  13. Fast solvers for discretized Navier-Stokes problems using vector extrapolation (, and ), In Numerical Algorithms, 1-16, . [pdf]
  14. Vector extrapolation applied to algebraic Riccati equations arising in transport theory ( and ), In Electron. Trans. Numer. Anal., volume 40, 589-506, .
  15. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, 102-5, . [pdf]
  16. A new look at CMRH and its relation to GMRES ( and ), In BIT, volume 52, 485-501, . [pdf]
  17. Implementations of range restricted iterative methods for linear discrete ill-posed problems (, and ), In Linear Algebra Appl., volume 436, 3974-3990, . [pdf]
  18. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, 2078-2089, . [pdf]
  19. Inverse problems: Computation and applications [Preface] (, , , , and ), In J. Comput. Appl. Math., volume 236, 2047-2048, . [pdf]
  20. Algorithms for range restricted iterative methods for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 59, 325-331, . [pdf]
  21. CMRH method as iterative solver for boundary element acoustic systems (, and ), In Eng. Anal. Bound. Elem., volume 36, 346-350, . [pdf]
  22. Reduced rank extrapolation applied to electronic structure computations ( and ), In Electron. Trans. Numer. Anal., volume 38, 347-362, .
  23. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, 1677-1688, . [pdf]
  24. 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]
  25. Further analysis of the Arnoldi process for eigenvalue problems (, and ), In SIAM J. Numer. Anal., volume 48, 393-407, . [pdf]
  26. Vector extrapolation enhanced TSVD for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 51, 195-208, . [pdf]
  27. New results on the convergence of the conjugate gradient method (, , and ), In Numer. Linear Algebra Appl., volume 16, 223-236, . [pdf]
  28. A new implementation of the CMRH method for solving dense linear systems ( and ), In J. Comput. Appl. Math., volume 213, 387-399, . [pdf]
  29. Algebraic properties of the block GMRES and block Arnoldi methods (, and ), In Electron. Trans. Numer. Anal., volume 33, 207-220, .
  30. 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, .
  31. A new L-curve for ill-posed problems ( and ), In J. Comput. Appl. Math., volume 219, 493-508, . [pdf]
  32. New convergence results on the global GMRES method for diagonalizable matrices (, and ), In J. Comput. Appl. Math., volume 219, 350-358, . [pdf]
  33. A new implementation of the CMRH method for solving dense linear systems ( and ), In J. Comput. Appl. Math., volume 213, 387-399, . [pdf]
  34. Greedy Tikhonov regularization for large linear ill-posed problems (, and ), In Int. J. Comput. Math., volume 84, 1151-1166, . [pdf]
  35. On block minimal residual methods (, , and ), In Appl. Math. Lett., volume 20, 284-289, . [pdf]
  36. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, 498-511, . [pdf]
  37. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, 498-511, . [pdf]
  38. Analysis of the convergence of the minimal and the orthogonal residual methods (), In Numer. Algorithms, volume 40, 201-216, . [pdf]
  39. Oblique projection methods for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 20, 119-138, .
  40. The block Lanczos method for linear systems with multiple right-hand sides (, and ), In Appl. Numer. Math., volume 51, 243-256, . [pdf]
  41. A block version of BICGSTAB for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 16, 129-142, .
  42. The matrix and polynomial approaches to Lanczos-type algorithms (, and ), In J. Comput. Appl. Math., volume 123, 241-260, . [pdf]
  43. Vector extrapolation methods. Applications and numerical comparison ( and ), In J. Comput. Appl. Math., volume 122, 149-165, . [pdf]
  44. $LU$ 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]
  45. CMRH: a new method for solving nonsymmetric linear systems based on the Hessenberg reduction algorithm (), In Numer. Algorithms, volume 20, 303-321, . [pdf]
  46. New look-ahead Lanczos-type algorithms for linear systems (, and ), In Numer. Math., volume 83, 53-85, . [pdf]
  47. Global FOM and GMRES algorithms for matrix equations (, and ), In Appl. Numer. Math., volume 31, 49-63, . [pdf]
  48. New interpretation of related Huang's methods ( and ), In Linear Algebra Appl., volume 269, 183-195, . [pdf]
  49. On a variable smoothing procedure for Krylov subspace methods ( and ), In Linear Algebra Appl., volume 268, 131-149, . [pdf]
  50. Hybrid vector transformations ( and ), In J. Comput. Appl. Math., volume 81, 257-267, . [pdf]
  51. Breakdowns in the implementation of the Lánczos method for solving linear systems (, and ), In Comput. Math. Appl., volume 33, 31-44, . [pdf]
  52. Analysis of some vector extrapolation methods for solving systems of linear equations ( and ), In Numer. Math., volume 70, 73-89, . [pdf]
  53. Quasilinear vector extrapolation methods (), In Linear Algebra Appl., volume 190, 71-85, . [pdf]
  54. Lanczos-type algorithms for solving systems of linear equations ( and ), In Appl. Numer. Math., volume 11, 443-473, . [pdf]
  55. Some vector sequence transformations with applications to systems of equations ( and ), In Numer. Algorithms, volume 3, 75-80, . [pdf]
  56. A breakdown-free Lanczos type algorithm for solving linear systems (, and ), In Numer. Math., volume 63, 29-38, . [pdf]
  57. 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]
  58. Avoiding breakdown and near-breakdown in Lanczos type algorithms (, and ), In Numer. Algorithms, volume 1, 261-284, . [pdf]
  59. Avoiding breakdown in the CGS algorithm ( and ), In Numer. Algorithms, volume 1, 199-206, . [pdf]
  60. Some results about vector extrapolation methods and related fixed-point iterations ( and ), In J. Comput. Appl. Math., volume 36, 385-398, . [pdf]
  61. 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