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

Hassane SADOK

71 publications

  1. Construction of a preconditioner for general elliptic problems using Riesz map (, and ), In Int. J. Comput. Methods, volume 18, . [url] [doi]
  2. Simple stopping criteria for the LSQR method applied to discrete ill-posed problems (, and ), In Numer. Algorithms, volume 84, . [url] [doi]
  3. Preconditioned Krylov subspace and GMRHSS iteration methods for solving the nonsymmetric saddle point problems (, and ), In Numer. Algorithms, volume 84, . [url] [doi]
  4. Matrix recursive polynomial interpolation algorithm: an algorithm for computing the interpolation polynomials (, and ), In J. Comput. Appl. Math., volume 373, . [url] [doi]
  5. Preconditioned global Krylov subspace methods for solving saddle point problems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 51, . [url] [doi]
  6. GRPIA: a new algorithm for computing interpolation polynomials (, , and ), In Numer. Algorithms, volume 80, . [url] [doi]
  7. New algorithm for computing the Hermite interpolation polynomial (, and ), In Numer. Algorithms, volume 77, . [url] [doi]
  8. Recursive polynomial interpolation algorithm (RPIA) ( and ), In Numer. Algorithms, volume 76, . [url] [doi]
  9. The block Hessenberg process for matrix equations (, and ), In Electron. Trans. Numer. Anal., volume 46, .
  10. GCV for Tikhonov regularization by partial SVD (, and ), In BIT, volume 57, . [url] [doi]
  11. 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, . [url] [doi]
  12. Algorithms for the CMRH method for dense linear systems (, , and ), In Numer. Algorithms, volume 71, . [url] [doi]
  13. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , , and ), In J. Engrg. Math., volume 93, . [url] [doi]
  14. Some properties of range restricted GMRES methods (, and ), In J. Comput. Appl. Math., volume 290, . [url] [doi]
  15. Nonlinear Schwarz iterations with reduced rank extrapolation (, and ), In Appl. Numer. Math., volume 94, . [url] [doi]
  16. Bounding matrix functionals via partial global block Lanczos decomposition (, , and ), In Appl. Numer. Math., volume 94, . [url] [doi]
  17. Matrix polynomial and epsilon-type extrapolation methods with applications ( and ), In Numer. Algorithms, volume 68, . [url] [doi]
  18. On investigating GMRES convergence using unitary matrices (, , and ), In Linear Algebra Appl., volume 450, . [url] [doi]
  19. Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] (, and ), In Appl. Numer. Math., volume 75, . [url] [doi]
  20. Fast solvers for discretized Navier-Stokes problems using vector extrapolation (, and ), In Numer. Algorithms, volume 66, . [url] [doi]
  21. Vector extrapolation applied to algebraic Riccati equations arising in transport theory ( and ), In Electron. Trans. Numer. Anal., volume 40, .
  22. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, . [url] [doi]
  23. A new look at CMRH and its relation to GMRES ( and ), In BIT, volume 52, . [url] [doi]
  24. Implementations of range restricted iterative methods for linear discrete ill-posed problems (, and ), In Linear Algebra Appl., volume 436, . [url] [doi]
  25. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, . [url] [doi]
  26. Inverse problems: Computation and applications [Preface] (, , , , and ), In J. Comput. Appl. Math., volume 236, . [url] [doi]
  27. Algorithms for range restricted iterative methods for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 59, . [url] [doi]
  28. CMRH method as iterative solver for boundary element acoustic systems (, and ), In Eng. Anal. Bound. Elem., volume 36, . [url] [doi]
  29. Reduced rank extrapolation applied to electronic structure computations ( and ), In Electron. Trans. Numer. Anal., volume 38, .
  30. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, . [url] [doi]
  31. Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)] (, , , and ), In Appl. Numer. Math., volume 60, . [url] [doi]
  32. Further analysis of the Arnoldi process for eigenvalue problems (, and ), In SIAM J. Numer. Anal., volume 48, . [url] [doi]
  33. Vector extrapolation enhanced TSVD for linear discrete ill-posed problems (, and ), In Numer. Algorithms, volume 51, . [url] [doi]
  34. New results on the convergence of the conjugate gradient method (, , and ), In Numer. Linear Algebra Appl., volume 16, . [url] [doi]
  35. A new implementation of the CMRH method for solving dense linear systems ( and ), In J. Comput. Appl. Math., volume 213, . [url] [doi]
  36. Analysis of some Krylov subspace methods for normal matrices via approximation theory and convex optimization (, and ), In Electron. Trans. Numer. Anal., volume 33, .
  37. New convergence results on the global GMRES method for diagonalizable matrices (, and ), In J. Comput. Appl. Math., volume 219, . [url] [doi]
  38. Algebraic properties of the block GMRES and block Arnoldi methods (, and ), In Electron. Trans. Numer. Anal., volume 33, .
  39. A new L-curve for ill-posed problems ( and ), In J. Comput. Appl. Math., volume 219, . [url] [doi]
  40. Greedy Tikhonov regularization for large linear ill-posed problems (, and ), In Int. J. Comput. Math., volume 84, . [url] [doi]
  41. On block minimal residual methods (, , and ), In Appl. Math. Lett., volume 20, . [url] [doi]
  42. Convergence properties of some block Krylov subspace methods for multiple linear systems (, , and ), In J. Comput. Appl. Math., volume 196, . [url] [doi]
  43. Analysis of the convergence of the minimal and the orthogonal residual methods (), In Numer. Algorithms, volume 40, . [url] [doi]
  44. Oblique projection methods for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 20, .
  45. The block Lanczos method for linear systems with multiple right-hand sides (, and ), In Appl. Numer. Math., volume 51, . [url] [doi]
  46. A block version of BICGSTAB for linear systems with multiple right-hand sides (, and ), In Electron. Trans. Numer. Anal., volume 16, .
  47. 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, . [url] [doi]
  48. The matrix and polynomial approaches to Lanczos-type algorithms (, and ), Chapter in , volume 123, . [url] [doi]
  49. Vector extrapolation methods. Applications and numerical comparison ( and ), Chapter in , volume 122, . [url] [doi]
  50. $LU$ implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems ( and ), In IMA J. Numer. Anal., volume 19, . [url] [doi]
  51. CMRH: a new method for solving nonsymmetric linear systems based on the Hessenberg reduction algorithm (), In Numer. Algorithms, volume 20, . [url] [doi]
  52. New look-ahead Lanczos-type algorithms for linear systems (, and ), In Numer. Math., volume 83, . [url] [doi]
  53. Global FOM and GMRES algorithms for matrix equations (, and ), In Appl. Numer. Math., volume 31, . [url] [doi]
  54. On a variable smoothing procedure for Krylov subspace methods ( and ), In Linear Algebra Appl., volume 268, . [url] [doi]
  55. New interpretation of related Huang's methods ( and ), In Linear Algebra Appl., volume 269, . [url] [doi]
  56. 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., Dordrecht, volume 508, .
  57. Hybrid vector transformations ( and ), In J. Comput. Appl. Math., volume 81, . [url] [doi]
  58. Breakdowns in the implementation of the Lánczos method for solving linear systems (, and ), Chapter in , volume 33, . [url] [doi]
  59. Analysis of some vector extrapolation methods for solving systems of linear equations ( and ), In Numer. Math., volume 70, . [url] [doi]
  60. Orthogonal polynomials and the Lanczos method (, and ), Chapter in Numerical analysis and mathematical modelling, Polish Acad. Sci. Inst. Math., Warsaw, volume 29, .
  61. Quasilinear vector extrapolation methods (), In Linear Algebra Appl., volume 190, . [url] [doi]
  62. Lanczos-type algorithms for solving systems of linear equations ( and ), In Appl. Numer. Math., volume 11, . [url] [doi]
  63. Some vector sequence transformations with applications to systems of equations ( and ), Chapter in , volume 3, . [url] [doi]
  64. A breakdown-free Lanczos type algorithm for solving linear systems (, and ), In Numer. Math., volume 63, . [url] [doi]
  65. 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, . [url] [doi]
  66. 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, Amsterdam, .
  67. Avoiding breakdown and near-breakdown in Lanczos type algorithms (, and ), In Numer. Algorithms, volume 1, . [url] [doi]
  68. Avoiding breakdown in the CGS algorithm ( and ), In Numer. Algorithms, volume 1, . [url] [doi]
  69. Some results about vector extrapolation methods and related fixed-point iterations ( and ), In J. Comput. Appl. Math., volume 36, . [url] [doi]
  70. About Henrici's transformation for accelerating vector sequences (), In J. Comput. Appl. Math., volume 29, . [url] [doi]
  71. 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, Swansea, .

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