Khalide JBILOU
- Professeur au LMPA
- Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
- Email : khalide.jbilou@univ-littoral.fr
- Page internet : http://www-lmpa.univ-littoral.fr/~jbilou/
- 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 : C123
- Téléphone : +33 3 21 46 55 91
- Adresse :
120 publications
- The global Golub-Kahan method and Gauss quadrature for tensor function approximation ( ), In Numer. Algorithms, volume 92, 2023. [hal-lmpa]
- Spectral computation with third-order tensors using the t-product ( ), In Appl. Numer. Math., volume 193, 2023. [hal-lmpa]
- Multilinear discriminant analysis using tensor-tensor products ( ), In J. Math. Model., volume 11, 2023. [hal-lmpa]
- A data-driven Krylov model order reduction for large-scale dynamical systems ( ), In J. Sci. Comput., volume 95, 2023. [hal-lmpa]
- Vector Aitken extrapolation method for multilinear PageRank computations ( ), In J. Appl. Math. Comput., volume 69, 2023. [hal-lmpa]
- On tensor tubal-Krylov subspace methods ( ), In Linear Multilinear Algebra, volume 70, 2022. [hal-lmpa]
- An extended-rational Arnoldi method for large matrix exponential evaluations ( ), In J. Sci. Comput., volume 91, 2022. [hal-lmpa]
- A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method ( ), In J. Appl. Math. Comput., volume 68, 2022. [hal-lmpa]
- Preconditioned iterative methods for multi-linear systems based on the majorization matrix ( ), In Linear Multilinear Algebra, volume 70, 2022. [hal-lmpa]
- Tensor Krylov subspace methods via the Einstein product with applications to image and video processing ( ), In Appl. Numer. Math., volume 181, 2022. [hal-lmpa]
- Fast multidimensional completion and principal component analysis methods via the cosine product ( ), In Calcolo, volume 59, 2022. [hal-lmpa]
- RBF approximation of three dimensional PDEs using tensor Krylov subspace methods ( ), In Eng. Anal. Bound. Elem., volume 139, 2022. [hal-lmpa]
- An extended-rational Arnoldi method for large matrix exponential evaluations ( ), In J. Sci. Comput., volume 91, 2022. [hal-lmpa]
- A tensor regularized nuclear norm method for image and video completion ( ), In J. Optim. Theory Appl., volume 192, 2022. [hal-lmpa]
- An efficient extended block Arnoldi algorithm for feedback stabilization of incompressible Navier-Stokes flow problems ( ), In Appl. Numer. Math., volume 174, 2022. [hal-lmpa]
- The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules ( ), In J. Comput. Appl. Math., volume 407, 2022. [hal-lmpa]
- Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation ( ), In Mathematics, volume 9, 2021. [hal]
- A Multidimensional Principal Component Analysis via the C-Product Golub–Kahan–SVD for Classification and Face Recognition ( ), In Mathematics, volume 9, 2021. [hal]
- Krylov subspace solvers for ℓ1 regularized logistic regression method ( ), In Communications in Statistics - Simulation and Computation, Taylor & Francis, volume 0, 2021. [hal-lmpa]
- Tensor extrapolation methods with applications ( ), In Numer. Algorithms, volume 87, 2021. [hal-lmpa]
- Shifted extended global Lanczos processes for trace estimation with application to network analysis ( ), In Calcolo, volume 58, 2021. [hal-lmpa]
- The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation ( ), In J. Comput. Appl. Math., volume 381, 2021. [hal-lmpa]
- Discrete cosine transform LSQR methods for multidimensional ill-posed problems ( ), In Journal of Mathematical Modeling, University of Guilan, volume , 2021. [hal-lmpa]
- A computational method for model reduction in index-2 dynamical systems for Stokes equations ( ), In Comput. Math. Appl., volume 99, 2021. [hal-lmpa]
- On tensor GMRES and Golub-Kahan methods via the T-product for color image processing ( ), In Electron. J. Linear Algebra, volume 37, 2021.
- Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications ( ), In Numer. Algorithms, volume 84, 2020. [hal-lmpa]
- Extended nonsymmetric global Lanczos method for matrix function approximation ( ), In Numer. Algorithms, volume 84, 2020. [hal-lmpa]
- Special volume on mathematical modeling with applications ( ), In Numer. Algorithms, volume 84, 2020. [hal-lmpa]
- Numerical Analysis and Scientific Computation (NASCA18) [Editorial] ( ), In J. Comput. Appl. Math., volume 373, 2020, Held in Kalamata in July 2-6, 2018. [hal-lmpa]
- A generalized matrix Krylov subspace method for TV regularization ( ), In J. Comput. Appl. Math., volume 373, 2020. [hal-lmpa]
- On global iterative schemes based on Hessenberg process for (ill-posed) Sylvester tensor equations ( ), In J. Comput. Appl. Math., volume 373, 2020. [hal-lmpa]
- Numerical methods for differential linear matrix equations via Krylov subspace methods ( ), In J. Comput. Appl. Math., volume 370, 2020. [hal-lmpa]
- Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory ( ), In Numer. Linear Algebra Appl., volume 27, 2020. [hal-lmpa]
- An eigenvalue approach for estimating the generalized cross validation function for correlated matrices ( ), In Electron. J. Linear Algebra, volume 35, 2019. [hal-lmpa]
- A tangential block Lanczos method for model reduction of large-scale first and second order dynamical systems ( ), In J. Sci. Comput., volume 81, 2019. [hal-lmpa]
- Nonlinear least-squares approach for large-scale algebraic Riccati equations ( ), In SIAM J. Sci. Comput., volume 41, 2019. [hal-lmpa]
- An adaptive block tangential method for multi-input multi-output dynamical systems ( ), In J. Comput. Appl. Math., volume 358, 2019. [hal-lmpa]
- GRPIA: a new algorithm for computing interpolation polynomials ( ), In Numer. Algorithms, volume 80, 2019. [hal-lmpa]
- The extended global Lanczos method for matrix function approximation ( ), In Electron. Trans. Numer. Anal., volume 50, 2018. [hal-lmpa]
- Low-rank approximate solutions to large-scale differential matrix Riccati equations ( ), In Appl. Math. (Warsaw), volume 45, 2018. [hal-lmpa]
- Numerical solutions to large-scale differential Lyapunov matrix equations ( ), In Numer. Algorithms, volume 79, 2018. [hal-lmpa]
- Computational Krylov-based methods for large-scale differential Sylvester matrix problems ( ), In Numer. Linear Algebra Appl., volume 25, 2018. [hal]
- Correction to: Solution methods for linear discrete ill-posed problems for color image restoration ( ), In BIT, volume 58, 2018. [hal-lmpa]
- Solution methods for linear discrete ill-posed problems for color image restoration ( ), In BIT, volume 58, 2018. [hal-lmpa]
- A computational global tangential Krylov subspace method for model reduction of large-scale MIMO dynamical systems ( ), In J. Sci. Comput., volume 75, 2018. [hal-lmpa]
- Balanced truncation-rational Krylov methods for model reduction in large scale dynamical systems ( ), In Comput. Appl. Math., volume 37, 2018. [hal-lmpa]
- An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems ( ), In Calcolo, volume 55, 2018. [hal-lmpa]
- Conditional gradient method for double-convex fractional programming matrix problems ( ), In J. Optim. Theory Appl., volume 176, 2018. [hal-lmpa]
- A block Arnoldi based method for the solution of the Sylvester-observer equation ( ), In Electron. Trans. Numer. Anal., volume 47, 2017.
- The block Lanczos algorithm for linear ill-posed problems ( ), In Calcolo, volume 54, 2017.
- A global rational Arnoldi method for model reduction ( ), In J. Comput. Appl. Math., volume 325, 2017.
- Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems ( ), In J. Comput. Appl. Math., volume 322, 2017.
- On some properties of the extended block and global Arnoldi methods with applications to model reduction ( ), In Numer. Algorithms, volume 75, 2017.
- A matrix rational Lanczos method for model reduction in large-scale first- and second-order dynamical systems ( ), In Numer. Linear Algebra Appl., volume 24, 2017.
- A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems ( ), In Appl. Math. (Warsaw), volume 43, 2016.
- A survey of Krylov-based methods for model reduction in large-scale MIMO dynamical systems ( ), In Appl. Comput. Math., volume 15, 2016.
- Block extrapolation methods with applications ( ), In Appl. Numer. Math., volume 106, 2016.
- Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems ( ), In New Trends Math. Sci., volume 4, 2016.
- A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations ( ), In J. Global Optim., volume 65, 2016.
- An adaptive rational block Lanczos-type algorithm for model reduction of large scale dynamical systems ( ), In J. Sci. Comput., volume 67, 2016.
- A global Lanczos method for image restoration ( ), In J. Comput. Appl. Math., volume 300, 2016.
- On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems ( ), In Comput. Math. Appl., volume 70, 2015.
- Matrix Krylov subspace methods for image restoration ( ), In New Trends Math. Sci., volume 3, 2015.
- Vector extrapolation applied to truncated singular value decomposition and truncated iteration ( ), In J. Engrg. Math., volume 93, 2015.
- Matrix polynomial and epsilon-type extrapolation methods with applications ( ), In Numer. Algorithms, volume 68, 2015.
- A minimal residual norm method for large-scale Sylvester matrix equations ( ), In Electron. Trans. Numer. Anal., volume 43, 2014/15.
- A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations ( ), In Comput. Math. Appl., volume 68, 2014.
- Preface [10th IMACS International Symposium on Iterative Methods in Scientific Computing] ( ), In Appl. Numer. Math., volume 75, 2014, Held in Marrakech, May 18–21, 2011.
- Conditional gradient Tikhonov method for a convex optimization problem in image restoration ( ), In J. Comput. Appl. Math., volume 255, 2014.
- A fast block Krylov implicit Runge-Kutta method for solving large-scale ordinary differential equations ( ), Chapter in Optimization, simulation, and control, Springer, New York, volume 76, 2013.
- A meshless method for the numerical computation of the solution of steady Burgers-type equations ( ), In Appl. Numer. Math., volume 74, 2013.
- On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations ( ), In Linear Algebra Appl., volume 439, 2013.
- A preconditioned block Arnoldi method for large Sylvester matrix equations ( ), In Numer. Linear Algebra Appl., volume 20, 2013.
- Semidefinite concave programming ( ), In Mong. Math. J., volume 16, 2012.
- A Kronecker approximation with a convex constrained optimization method for blind image restoration ( ), In Optim. Lett., volume 6, 2012.
- Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation ( ), In Appl. Numer. Math., volume 62, 2012.
- Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] ( ), In Appl. Numer. Math., volume 62, 2012, Held in Agadir, May 18–22, 2009.
- 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.
- A computational method for symmetric Stein matrix equations ( ), Chapter in Numerical linear algebra in signals, systems and control, Springer, Dordrecht, volume 80, 2011.
- Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations ( ), In J. Comput. Appl. Math., volume 236, 2011.
- Convex constrained optimization for large-scale generalized Sylvester equations ( ), In Comput. Optim. Appl., volume 48, 2011.
- An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure ( ), In Linear Algebra Appl., volume 434, 2011.
- Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations ( ), In Appl. Numer. Math., volume 61, 2011.
- The global Arnoldi process for solving the Sylvester-observer equation ( ), In Comput. Appl. Math., volume 29, 2010.
- Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)] ( ), In Appl. Numer. Math., volume 60, 2010, Held at the University of Lille I, Villeneuve d'Ascq, March 17–20, 2008.
- ADI preconditioned Krylov methods for large Lyapunov matrix equations ( ), In Linear Algebra Appl., volume 432, 2010.
- A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method ( ), In Appl. Math. Comput., volume 215, 2010.
- Vector extrapolation enhanced TSVD for linear discrete ill-posed problems ( ), In Numer. Algorithms, volume 51, 2009.
- An iterative method for Bayesian Gauss-Markov image restoration ( ), In Appl. Math. Model., volume 33, 2009.
- An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation ( ), In Electron. Trans. Numer. Anal., volume 33, 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, 2008.
- Meshless thin plate spline methods for the modified Helmholtz equation ( ), In Comput. Methods Appl. Mech. Engrg., volume 197, 2008.
- New convergence results on the global GMRES method for diagonalizable matrices ( ), In J. Comput. Appl. Math., volume 219, 2008.
- Model reduction in large scale MIMO dynamical systems via the block Lanczos method ( ), In Comput. Appl. Math., volume 27, 2008.
- Sylvester Tikhonov-regularization methods in image restoration ( ), In J. Comput. Appl. Math., volume 206, 2007.
- On block minimal residual methods ( ), In Appl. Math. Lett., volume 20, 2007.
- Matrix Krylov subspace methods for large scale model reduction problems ( ), In Appl. Math. Comput., volume 181, 2006.
- Convergence properties of some block Krylov subspace methods for multiple linear systems ( ), In J. Comput. Appl. Math., volume 196, 2006.
- Low rank approximate solutions to large Sylvester matrix equations ( ), In Appl. Math. Comput., volume 177, 2006.
- Projection methods for large Lyapunov matrix equations ( ), In Linear Algebra Appl., volume 415, 2006.
- An Arnoldi based algorithm for large algebraic Riccati equations ( ), In Appl. Math. Lett., volume 19, 2006.
- On some matrix extrapolation methods ( ), In C. R. Math. Acad. Sci. Paris, volume 341, 2005.
- Oblique projection methods for linear systems with multiple right-hand sides ( ), In Electron. Trans. Numer. Anal., volume 20, 2005.
- Some Schur complement identities and applications to matrix extrapolation methods ( ), In Linear Algebra Appl., volume 392, 2004.
- The block Lanczos method for linear systems with multiple right-hand sides ( ), In Appl. Numer. Math., volume 51, 2004.
- Block Krylov subspace methods for large algebraic Riccati equations ( ), Chapter in , volume 34, 2003, International Conference on Numerical Algorithms, Vol. II (Marrakesh, 2001).
- A block version of BICGSTAB for linear systems with multiple right-hand sides ( ), In Electron. Trans. Numer. Anal., volume 16, 2003.
- Block Krylov subspace methods for solving large Sylvester equations ( ), Chapter in , volume 29, 2002, Matrix iterative analysis and biorthogonality (Luminy, 2000).
- Vector extrapolation methods. Applications and numerical comparison ( ), Chapter in , volume 122, 2000, Numerical analysis 2000, Vol. II: Interpolation and extrapolation.
- $LU$ implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems ( ), In IMA J. Numer. Anal., volume 19, 1999.
- Global FOM and GMRES algorithms for matrix equations ( ), In Appl. Numer. Math., volume 31, 1999.
- Smoothing iterative block methods for linear systems with multiple right-hand sides ( ), In J. Comput. Appl. Math., volume 107, 1999.
- Matrix recursive interpolation algorithm for block linear systems: direct methods ( ), In Linear Algebra Appl., volume 294, 1999.
- Hybrid vector transformations ( ), In J. Comput. Appl. Math., volume 81, 1997.
- Projection-minimization methods for nonsymmetric linear systems ( ), In Linear Algebra Appl., volume 229, 1995.
- Analysis of some vector extrapolation methods for solving systems of linear equations ( ), In Numer. Math., volume 70, 1995.
- A general projection algorithm for solving systems of linear equations ( ), In Numer. Algorithms, volume 4, 1993.
- Some results about vector extrapolation methods and related fixed-point iterations ( ), In J. Comput. Appl. Math., volume 36, 1991.