Khalid Jbilou
- Grade : Professeur
- Equipe : Approximation
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS 80699
62228 Calais - Bureau : C123
- Email : Khalid.Jbilou@univ-littoral.fr
- Téléphone : 03.21.46.55.91
- Page personnelle : http://www-lmpa.univ-littoral.fr/~jbilou/
Publications
Articles de revues
- Numerical solutions to large-scale differential Lyapunov matrix equations ( ), In Numerical Algorithms, 2018.
- A computational global tangential Krylov subspace method for model reduction in large-scale MIMO dynamical systems ( ), In Journal of Scientific Computing, 2018.
- An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems, 55 (1), 13 ( ), In calcolo, 2018.
- Balanced Truncation-Rational Krylov methods for model reduction in large scale dynamical systems, ( ), In Computational and Applied Mathematics, (37(1)(2018)) pp 525–540, 2018.
- Low-rank approximate solutions to large-scale differential matrix Riccati equations ( ), In Appl. Math. (Warsaw), volume 45, 233-254, 2018.
- Conditional gradient method for double-convex fractional programming matrix problems ( ), In J. Optim. Theory Appl., volume 176, 163-177, 2018.
- Conditional Gradient Method for Double-Convex Fractional Programming Matrix Problems ( ), In 176(2018), pp 163-177, 2018.
- On some properties of the extended block and global Arnoldi methods with applications to model reduction ( ), In Numerical Algorithms, (75)(1)(2017), , pp 285-304., 2017.
- A global rational Arnoldi method for model reduction ( ), In Journal of Computational and Applied Mathematics, (2017), 325 (2017) 175-187., 2017.
- On some extended block Krylov based methods for large scale nonsymmetric Stein matrix equations ( ), In Mathematics, 2017, 5(2), 21, 2017.
- A block Arnoldi based method for the solution of the Sylvester-Observer equation, ( ), In Electronic Transaction on Numerical Analysis, 47 pp. 18-36, 2017.
- A matrix rational Lanczos method for model reduction ( ), In Numerical Linear Algebra with Applications, 24(1), no. 1, e2077, pp. 1–13, 2017.
- The Global Golub–Kahan bidiagonalization process applied to large discrete ill-posed problems ( ), In Journal of Computational and Applied Mathematics, 322, pp. 46-56., 2017.
- The block Lanczos algorithm for linear ill-posed problems ( ), In Calcolo, 54(3)(2017), 711-732, 2017.
- Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems ( ), In New Trends in Mathematical, volume 4, 227-239, 2016.
- A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems ( ), In Applicationes Mathematicae, 2016.
- A note on the block and seed Bicgstab algorithms for nonsymmetric multiple linear systems ( ), In American Journal of Algorithms and Computing, volume 3, 1-13, 2016.
- Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems ( ), In New Trends Math. Sci., volume 4, 227-239, 2016.
- A survey of Krylov-based methods for model reduction in large-scale MIMO dynamical systems ( ), In Appl. Comput. Math., volume 15, 117-148, 2016.
- Block extrapolation methods with applications ( ), In Appl. Numer. Math., volume 106, 154-164, 2016.
- A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations ( ), In J. Global Optim., volume 65, 19-32, 2016.
- An Adaptive Rational Block Lanczos-Type Algorithm for Model Reduction of Large Scale Dynamical Systems ( ), In J. Sci. Comput., volume 67, 221-236, 2016.
- A global Lanczos method for image restoration ( ), In J. Comput. Appl. Math., volume 300, 233-244, 2016.
- Matrix polynomial and epsilon-type extrapolation methods with applications ( ), In Numerical Algorithms, volume 68(1), 107-119, 2015.
- A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations ( ), In Journal of Global Optimization, volume 93, 2015.
- Vector extrapolation applied to truncated singular value decomposition and truncated iteration. ( ), In Journal of Engineering Mathematics, volume 93, 99-122, 2015.
- A note on the block and seed Bicgstab algorithms for nonsymmetric multiple linear systems ( ), In American Journal of Algorithms and Computing, 2015.
- A global Lanczos method for image restoration ( ), In Journal of Computational Mathematics, 2015.
- On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems ( ), In Comput. Math. Appl., volume 70, 2555-2565, 2015.
- Matrix Krylov subspace methods for image restoration ( ), In New Trends Math. Sci., volume 3, 136-148, 2015.
- Vector extrapolation applied to truncated singular value decomposition and truncated iteration ( ), In J. Engrg. Math., volume 93, 99-112, 2015.
- Matrix polynomial and epsilon-type extrapolation methods with applications ( ), In Numer. Algorithms, volume 68, 107-119, 2015.
- A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations ( ), In Computer Mathematics with Applications, volume 68(3), 238-256, 2014.
- A minimal residual norm method for large-scale Sylvester matrix equations ( ), In Electron. Trans. Numer. Anal., volume 43, 45-59, 2014.
- A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations ( ), In Comput. Math. Appl., volume 68, 238-256, 2014.
- Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] ( ), In Appl. Numer. Math., volume 75, -, 2014.
- Conditional gradient Tikhonov method for a convex optimization problem in image restoration ( ), In J. Comput. Appl. Math., volume 255, 580-592, 2014.
- A fast block Krylov implicit Rung-Kutta method for solving large- scale ordinary differential equations ( ), In Opt and Applications, volume 1(76), 2013.
- A meshless method for the numerical computation of the solution of steady Burgers-type equations ( ), In Appl. Numer. Math., volume 74, 95-110, 2013.
- On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations ( ), In Linear Algebra Appl., volume 439, 2057-2069, 2013.
- A preconditioned block Arnoldi method for large Sylvester matrix equations ( ), In Numer. Linear Algebra Appl., volume 20, 208-219, 2013.
- Semidefinite concave programming ( ), In Mong. Math. J., volume 16, 37-46, 2012.
- A Kronecker approximation with a convex constrained optimization method for blind image restoration ( ), In Optim. Lett., volume 6, 1251-1264, 2012.
- Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation ( ), In Appl. Numer. Math., volume 62, 1089-1108, 2012.
- Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] ( ), In Appl. Numer. Math., volume 62, 102-5, 2012.
- A generalized global Arnoldi method for ill-posed matrix equations ( ), In J. Comput. Appl. Math., volume 236, 2078-2089, 2012.
- Inverse problems: Computation and applications [Preface] ( ), In J. Comput. Appl. Math., volume 236, 2047-2048, 2012.
- Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations ( ), In J. Comput. Appl. Math., volume 236, 1531-1542, 2011.
- Convex constrained optimization for large-scale generalized Sylvester equations ( ), In Comput. Optim. Appl., volume 48, 233-253, 2011.
- An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure ( ), In Linear Algebra Appl., volume 434, 1677-1688, 2011.
- Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations ( ), In Appl. Numer. Math., volume 61, 149-159, 2011.
- A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method ( ), In Appl. Math. Comput., volume 215, 4067-4079, 2010.
- The global Arnoldi process for solving the Sylvester-observer equation ( ), In Comput. Appl. Math., volume 29, 527-544, 2010.
- Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)] ( ), In Appl. Numer. Math., volume 60, 105-3, 2010.
- ADI preconditioned Krylov methods for large Lyapunov matrix equations ( ), In Linear Algebra Appl., volume 432, 2473-2485, 2010.
- A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method ( ), In Appl. Math. Comput., volume 215, 4067-4079, 2010.
- Vector extrapolation enhanced TSVD for linear discrete ill-posed problems ( ), In Numer. Algorithms, volume 51, 195-208, 2009.
- An iterative method for Bayesian Gauss-Markov image restoration ( ), In Appl. Math. Model., volume 33, 361-372, 2009.
- An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation ( ), In Electron. Trans. Numer. Anal., volume 33, 53-62, 2008/09.
- Model reduction in large scale MIMO dynamical systems via the block Lanczos method ( ), In Comput. Appl. Math., volume 27, 211-236, 2008.
- An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation ( ), In Electron. Trans. Numer. Anal., volume 33, 53-62, 2008/09.
- Special volume on matrix analysis and applications ( ), In Electron. Trans. Numer. Anal., volume 33, -, 2008/09.
- A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( ), In Appl. Math. Comput., volume 206, 687-694, 2008.
- Meshless thin plate spline methods for the modified Helmholtz equation ( ), In Comput. Methods Appl. Mech. Engrg., volume 197, 3733-3741, 2008.
- New convergence results on the global GMRES method for diagonalizable matrices ( ), In J. Comput. Appl. Math., volume 219, 350-358, 2008.
- Model reduction in large scale MIMO dynamical systems via the block Lanczos method ( ), In Comput. Appl. Math., volume 27, 211-236, 2008.
- Sylvester Tikhonov-regularization methods in image restoration ( ), In J. Comput. Appl. Math., volume 206, 86-98, 2007.
- On block minimal residual methods ( ), In Appl. Math. Lett., volume 20, 284-289, 2007.
- Matrix Krylov subspace methods for large scale model reduction problems ( ), In Appl. Math. Comput., volume 181, 1215-1228, 2006.
- Convergence properties of some block Krylov subspace methods for multiple linear systems ( ), In J. Comput. Appl. Math., volume 196, 498-511, 2006.
- Convergence properties of some block Krylov subspace methods for multiple linear systems ( ), In J. Comput. Appl. Math., volume 196, 498-511, 2006.
- Low rank approximate solutions to large Sylvester matrix equations ( ), In Appl. Math. Comput., volume 177, 365-376, 2006.
- Projection methods for large Lyapunov matrix equations ( ), In Linear Algebra Appl., volume 415, 344-358, 2006.
- An Arnoldi based algorithm for large algebraic Riccati equations ( ), In Appl. Math. Lett., volume 19, 437-444, 2006.
- On some matrix extrapolation methods ( ), In C. R. Math. Acad. Sci. Paris, volume 341, 781-786, 2005.
- Oblique projection methods for linear systems with multiple right-hand sides ( ), In Electron. Trans. Numer. Anal., volume 20, 119-138, 2005.
- Some Schur complement identities and applications to matrix extrapolation methods ( ), In Linear Algebra Appl., volume 392, 195-210, 2004.
- The block Lanczos method for linear systems with multiple right-hand sides ( ), In Appl. Numer. Math., volume 51, 243-256, 2004.
- Block Krylov subspace methods for large algebraic Riccati equations ( ), In Numer. Algorithms, volume 34, 339-353, 2003.
- A block version of BICGSTAB for linear systems with multiple right-hand sides ( ), In Electron. Trans. Numer. Anal., volume 16, 129-142, 2003.
- Block Krylov subspace methods for solving large Sylvester equations ( ), In Numer. Algorithms, volume 29, 75-96, 2002.
- Block Krylov subspace methods for solving large Sylvester equations ( ), In Numer. Algorithms, volume 29, 75-96, 2002.
- Vector extrapolation methods. Applications and numerical comparison ( ), In J. Comput. Appl. Math., volume 122, 149-165, 2000.
- $LU$ implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems ( ), In IMA J. Numer. Anal., volume 19, 549-561, 1999.
- Global FOM and GMRES algorithms for matrix equations ( ), In Appl. Numer. Math., volume 31, 49-63, 1999.
- Smoothing iterative block methods for linear systems with multiple right-hand sides ( ), In J. Comput. Appl. Math., volume 107, 97-109, 1999.
- Matrix recursive interpolation algorithm for block linear systems: direct methods ( ), In Linear Algebra Appl., volume 294, 137-154, 1999.
- Hybrid vector transformations ( ), In J. Comput. Appl. Math., volume 81, 257-267, 1997.
- Projection-minimization methods for nonsymmetric linear systems ( ), In Linear Algebra Appl., volume 229, 101-125, 1995.
- Analysis of some vector extrapolation methods for solving systems of linear equations ( ), In Numer. Math., volume 70, 73-89, 1995.
- A general projection algorithm for solving systems of linear equations ( ), In Numer. Algorithms, volume 4, 361-377, 1993.
- Some results about vector extrapolation methods and related fixed-point iterations ( ), In J. Comput. Appl. Math., volume 36, 385-398, 1991.
Rapports
- A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems ( ), Technical report 516, LMPA, 2015.
- A matrix lanczos bidiagonalisation-Gauss quadrature method for image restoration ( ), Technical report 514, LMPA, 2015.
- Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems ( ), Technical report 515, LMPA, 2015.
- Matrix polynomial and epsilon-type extrapolation methods with applications ( ), Technical report 506, LMPA, 2014.
- The Davidson-Man method revisited and extended ( ), Technical report 500, LMPA, 2014.
- A minimal residual method norm for large scale Sylvester Matrix Equations ( ), Technical report 501, LMPA, 2014.
- Block Arnoldi Based Methods for large Nonsymmetric Algebraic Riccati Problems ( ), Technical report 505, LMPA, 2014.
- A meshless method for the numerical computation of the solution of steady Burgers-type equations ( ), Technical report 471, LMPA, 2012.
- A meshless method for the numerical computation of the solution of steady Burgers-type equations ( ), Technical report, LMPA, 2012.
- An Inexact Newton Block Arnoldi Method for Discrete-Time Algebraic Riccati Equations ( ), Technical report 467, LMPA, 2011.
- A generalized global Arnoldi method for ill-posed matrix equations ( ), Technical report 457, LMPA, 2011.
- Conditional gradient Tikhonov method for a convex optimization problem in image restoration ( ), Technical report 442, LMPA, 2010.
- A Kroneker approximation with a convex constrained optimization method for blind image restoration ( ), Technical report 441, LMPA, 2010.
- An Extrapolated TSVD Method for Linear Discrete Ill-Posed Problems with Kronecker Structure ( ), Technical report 423, LMPA, 2010.
- Signal reconstruction in optical tomography by using B-spline Galerkin approximation ( ), Technical report, LMPA, 2010.
- Block Arnoldi-Based Methods for Large Scale Discrete-Time Algebraic Riccati Equations ( ), Technical report 415, LMPA, 2010.
- Signal reconstruction in optical tomography by using B-spline Galerkin approximation ( ), Technical report 417, LMPA, 2010.
- A Preconditioned Block Arnoldi Method for Large Scale Lyapunov and Algebraic Riccati Equations ( ), Technical report 412, LMPA, 2010.
- A Numerical method for one dimensional diffusion problem using Fourier transform and the B-spline Galerkin method ( ), Technical report 396, LMPA, 2009.
- ADI Preconditioned Krylov Methods for Large Lyapunov Matrix Equations ( ), Technical report 386, LMPA, 2008.
- Stein high-order one step implicit Runge-Kutta methods for large-scale ordinary differential equations ( ), Technical report 376, LMPA, 2008.
- Vector Extrapolation Enhanced TSVD for Linear Discrete Ill-posed Problems ( ), Technical report 370, LMPA, 2008.
- The global Arnoldi process for solving the Sylvester-observer equation ( ), Technical report 357, LMPA, 2008.
- The global Arnoldi process for solving the Sylvester-observer equation ( ), Technical report, LMPA, 2008.
- Résolution des équations matricielles de Sylvester par le processus 'Extended Block Arnoldi' ( ), Technical report, LMPA, 2008.
- A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( ), Technical report 356, LMPA, 2008.
- Résolution des équations matricielles de Sylvester par le processus 'Extended Block Arnoldi' ( ), Technical report 355, LMPA, 2008.
- New convergence results on the global GMRES method for diagonalizable matrices ( ), Technical report 337, LMPA, 2007.
- An extented Block Krylov method for large-scale continuous-time algebraic Riccati equations ( ), Technical report, LMPA, 2007.
- An extented Block Krylov method for large-scale continuous-time algebraic Riccati equations ( ), Technical report 324, LMPA, 2007.
- Convex constrained optimization for large-scale ill-conditioned generalized Sylvester equations ( ), Technical report 322, LMPA, 2007.
- Meshless thin plate spline methods for the modified Helmholtz equation ( ), Technical report 331, LMPA, 2007.
- Model reduction in large scale MIMO dynamical systems via the block Lanczos method ( ), Technical report 312, LMPA, 2007.
- Approximate solutions to large Stein matrix equations ( ), Technical report 293, LMPA, 2006.
- On block minimal residual methods ( ), Technical report 279, LMPA, 2006.
- An Arnoldi based algorithm for large algebraic Riccati equations ( ), Technical report 275, LMPA, 2006.
- Matrix Krylov Subspace Methods for Large Scale Model Reduction Problems ( ), Technical report 257, LMPA, 2005.
- Sylvester Tikhonov-Regularization Methods in Image Restoration ( ), Technical report 254, LMPA, 2005.
- Convergence properties of some block Krylov subspace methods for multiple linear systems ( ), Technical report 250, LMPA, 2005.
- Low rank approximate solutions to large Sylvester matrix equations ( ), Technical report 241, LMPA, 2005.
- An iterative method for Bayesian Gauss-Markov image restoration ( ), Technical report 240, LMPA, 2005.
- A computational method for large and sparse Stein equations ( ), Technical report 221, LMPA, 2004.
- On some block extrapolation methods ( ), Technical report 212, LMPA, 2004.
- Some Schur complement identities and applications to matrix extrapolation methods ( ), Technical report 191, LMPA, 2003.
- Block Krylov subspace methods for large continuous-time algebraic Riccati equations ( ), Technical report 169, LMPA, 2002.
- Projection methods for large Lyapunov matrix equations ( ), Technical report 164, LMPA, 2002.
- Numerical methods for Stein equations in large-scale dynamical systems ( ), Technical report 155, LMPA, 2001.
- Block and Seed BiCGSTAB algorithms for non symmetric multiple linear systems ( ), Technical report 135, LMPA, 2000.
- Block Krylov subspace methods for solving large Sylvester equations ( ), Technical report 132, LMPA, 2000.
- Vector extrapolation methods. Applications and numerical comparison ( ), Technical report 121, LMPA, 2000.
- The block Lanczos method for linear systems with multiple right-hand sides ( ), Technical report 090, LMPA, 1999.
- A block BiCGSTAB algorithm for multiple linear systems ( ), Technical report 086, LMPA, 1999.
- Smoothing iterative block methods for linear systems with multiple right-hand sides ( ), Technical report 073, LMPA, 1998.
- On Krylov subspace methods for solving the Sylvester matrix equation: $AX-XB=C$ ( ), Technical report 071, LMPA, 1998.