Hassane SADOK
- Professeur au LMPA
- Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
- Email : Hassane.Sadok@univ-littoral.fr
- Page internet : http://www-lmpa.univ-littoral.fr/~sadok/
- Laboratoire de Mathématiques Pure et Appliquées
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue Ferdinand Buisson
CS 80699
62228 CALAIS Cedex France - Bureau : B120
- Téléphone : +33 3 21 46 36 29
- Adresse :
71 publications
- Construction of a preconditioner for general elliptic problems using Riesz map ( ), In Int. J. Comput. Methods, volume 18, 2021.
- Simple stopping criteria for the LSQR method applied to discrete ill-posed problems ( ), In Numer. Algorithms, volume 84, 2020.
- Preconditioned Krylov subspace and GMRHSS iteration methods for solving the nonsymmetric saddle point problems ( ), In Numer. Algorithms, volume 84, 2020.
- Matrix recursive polynomial interpolation algorithm: an algorithm for computing the interpolation polynomials ( ), In J. Comput. Appl. Math., volume 373, 2020.
- Preconditioned global Krylov subspace methods for solving saddle point problems with multiple right-hand sides ( ), In Electron. Trans. Numer. Anal., volume 51, 2019.
- GRPIA: a new algorithm for computing interpolation polynomials ( ), In Numer. Algorithms, volume 80, 2019.
- New algorithm for computing the Hermite interpolation polynomial ( ), In Numer. Algorithms, volume 77, 2018.
- Recursive polynomial interpolation algorithm (RPIA) ( ), In Numer. Algorithms, volume 76, 2017.
- The block Hessenberg process for matrix equations ( ), In Electron. Trans. Numer. Anal., volume 46, 2017.
- GCV for Tikhonov regularization by partial SVD ( ), In BIT, volume 57, 2017.
- The distance of an eigenvector to a Krylov subspace and the convergence of the Arnoldi method for eigenvalue problems ( ), In Linear Algebra Appl., volume 504, 2016.
- Algorithms for the CMRH method for dense linear systems ( ), In Numer. Algorithms, volume 71, 2016.
- Vector extrapolation applied to truncated singular value decomposition and truncated iteration ( ), In J. Engrg. Math., volume 93, 2015.
- Some properties of range restricted GMRES methods ( ), In J. Comput. Appl. Math., volume 290, 2015.
- Nonlinear Schwarz iterations with reduced rank extrapolation ( ), In Appl. Numer. Math., volume 94, 2015.
- Bounding matrix functionals via partial global block Lanczos decomposition ( ), In Appl. Numer. Math., volume 94, 2015.
- Matrix polynomial and epsilon-type extrapolation methods with applications ( ), In Numer. Algorithms, volume 68, 2015.
- On investigating GMRES convergence using unitary matrices ( ), In Linear Algebra Appl., volume 450, 2014.
- Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] ( ), In Appl. Numer. Math., volume 75, 2014.
- Fast solvers for discretized Navier-Stokes problems using vector extrapolation ( ), In Numer. Algorithms, volume 66, 2014.
- Vector extrapolation applied to algebraic Riccati equations arising in transport theory ( ), In Electron. Trans. Numer. Anal., volume 40, 2013.
- Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] ( ), In Appl. Numer. Math., volume 62, 2012.
- A new look at CMRH and its relation to GMRES ( ), In BIT, volume 52, 2012.
- Implementations of range restricted iterative methods for linear discrete ill-posed problems ( ), In Linear Algebra Appl., volume 436, 2012.
- A generalized global Arnoldi method for ill-posed matrix equations ( ), In J. Comput. Appl. Math., volume 236, 2012.
- Inverse problems: Computation and applications [Preface] ( ), In J. Comput. Appl. Math., volume 236, 2012.
- Algorithms for range restricted iterative methods for linear discrete ill-posed problems ( ), In Numer. Algorithms, volume 59, 2012.
- CMRH method as iterative solver for boundary element acoustic systems ( ), In Eng. Anal. Bound. Elem., volume 36, 2012.
- Reduced rank extrapolation applied to electronic structure computations ( ), In Electron. Trans. Numer. Anal., volume 38, 2011.
- An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure ( ), In Linear Algebra Appl., volume 434, 2011.
- Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)] ( ), In Appl. Numer. Math., volume 60, 2010.
- Further analysis of the Arnoldi process for eigenvalue problems ( ), In SIAM J. Numer. Anal., volume 48, 2010.
- Vector extrapolation enhanced TSVD for linear discrete ill-posed problems ( ), In Numer. Algorithms, volume 51, 2009.
- New results on the convergence of the conjugate gradient method ( ), In Numer. Linear Algebra Appl., volume 16, 2009.
- A new implementation of the CMRH method for solving dense linear systems ( ), In J. Comput. Appl. Math., volume 213, 2008.
- Analysis of some Krylov subspace methods for normal matrices via approximation theory and convex optimization ( ), In Electron. Trans. Numer. Anal., volume 33, 2008/09.
- New convergence results on the global GMRES method for diagonalizable matrices ( ), In J. Comput. Appl. Math., volume 219, 2008.
- Algebraic properties of the block GMRES and block Arnoldi methods ( ), In Electron. Trans. Numer. Anal., volume 33, 2008/09.
- A new L-curve for ill-posed problems ( ), In J. Comput. Appl. Math., volume 219, 2008.
- Greedy Tikhonov regularization for large linear ill-posed problems ( ), In Int. J. Comput. Math., volume 84, 2007.
- On block minimal residual methods ( ), In Appl. Math. Lett., volume 20, 2007.
- Convergence properties of some block Krylov subspace methods for multiple linear systems ( ), In J. Comput. Appl. Math., volume 196, 2006.
- Analysis of the convergence of the minimal and the orthogonal residual methods ( ), In Numer. Algorithms, volume 40, 2005.
- Oblique projection methods for linear systems with multiple right-hand sides ( ), In Electron. Trans. Numer. Anal., volume 20, 2005.
- The block Lanczos method for linear systems with multiple right-hand sides ( ), In Appl. Numer. Math., volume 51, 2004.
- A block version of BICGSTAB for linear systems with multiple right-hand sides ( ), In Electron. Trans. Numer. Anal., volume 16, 2003.
- A review of formal orthogonality in Lanczos-based methods ( ), In Proceedings of the 9th International Congress on Computational and Applied Mathematics (Leuven, 2000), volume 140, 2002.
- The matrix and polynomial approaches to Lanczos-type algorithms ( ), Chapter in , volume 123, 2000.
- Vector extrapolation methods. Applications and numerical comparison ( ), Chapter in , volume 122, 2000.
- $LU$ implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems ( ), In IMA J. Numer. Anal., volume 19, 1999.
- CMRH: a new method for solving nonsymmetric linear systems based on the Hessenberg reduction algorithm ( ), In Numer. Algorithms, volume 20, 1999.
- New look-ahead Lanczos-type algorithms for linear systems ( ), In Numer. Math., volume 83, 1999.
- Global FOM and GMRES algorithms for matrix equations ( ), In Appl. Numer. Math., volume 31, 1999.
- On a variable smoothing procedure for Krylov subspace methods ( ), In Linear Algebra Appl., volume 268, 1998.
- New interpretation of related Huang's methods ( ), In Linear Algebra Appl., volume 269, 1998.
- Problems of breakdown and near-breakdown in Lanczos-based algorithms ( ), Chapter in Algorithms for large scale linear algebraic systems (Gran Canaria, 1996), Kluwer Acad. Publ., Dordrecht, volume 508, 1998.
- Hybrid vector transformations ( ), In J. Comput. Appl. Math., volume 81, 1997.
- Breakdowns in the implementation of the Lánczos method for solving linear systems ( ), Chapter in , volume 33, 1997.
- Analysis of some vector extrapolation methods for solving systems of linear equations ( ), In Numer. Math., volume 70, 1995.
- Orthogonal polynomials and the Lanczos method ( ), Chapter in Numerical analysis and mathematical modelling, Polish Acad. Sci. Inst. Math., Warsaw, volume 29, 1994.
- Quasilinear vector extrapolation methods ( ), In Linear Algebra Appl., volume 190, 1993.
- Lanczos-type algorithms for solving systems of linear equations ( ), In Appl. Numer. Math., volume 11, 1993.
- Some vector sequence transformations with applications to systems of equations ( ), Chapter in , volume 3, 1992.
- A breakdown-free Lanczos type algorithm for solving linear systems ( ), In Numer. Math., volume 63, 1992.
- Addendum to: "Avoiding breakdown and near-breakdown in Lanczos type algorithms" [Numer. Algorithms \bf 1 (1991), no. 3, 261–284; MR1135297 (92j:65041)] ( ), In Numer. Algorithms, volume 2, 1992.
- A block bordering method for the treatment of breakdown in the biconjugate gradient algorithm ( ), Chapter in Iterative methods in linear algebra (Brussels, 1991), North-Holland, Amsterdam, 1992.
- Avoiding breakdown and near-breakdown in Lanczos type algorithms ( ), In Numer. Algorithms, volume 1, 1991.
- Avoiding breakdown in the CGS algorithm ( ), In Numer. Algorithms, volume 1, 1991.
- Some results about vector extrapolation methods and related fixed-point iterations ( ), In J. Comput. Appl. Math., volume 36, 1991.
- About Henrici's transformation for accelerating vector sequences ( ), In J. Comput. Appl. Math., volume 29, 1990.
- Vector sequence transformations and fixed point methods ( ), Chapter in Numerical methods in laminar and turbulent flow, Vol. 5, Part 1, 2 (Montreal, Que., 1987), Pineridge, Swansea, 1987.