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

## 71 publications

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