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

Abderrahman Bouhamidi

Publications

Articles de revues

  1. A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations (, and ), In J. Global Optim., volume 65, 19-32, . [pdf]
  2. A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations (, and ), In Journal of Global Optimization, volume 93, .
  3. Vector extrapolation applied to truncated singular value decomposition and truncated iteration. (, , and ), In Journal of Engineering Mathematics, volume 93, 99-122, .
  4. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , and ), In J. Engrg. Math., volume 93, 99-112, . [pdf]
  5. A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations (, and ), In Computer Mathematics with Applications, volume 68(3), 238-256, .
  6. A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations (, and ), In Comput. Math. Appl., volume 68, 238-256, . [pdf]
  7. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), In J. Comput. Appl. Math., volume 255, 580-592, . [pdf]
  8. A fast block Krylov implicit Rung-Kutta method for solving large- scale ordinary differential equations ( and ), In Opt and Applications, volume 1(76), .
  9. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), In Appl. Numer. Math., volume 74, 95-110, . [pdf]
  10. On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations ( and ), In Linear Algebra Appl., volume 439, 2057-2069, . [pdf]
  11. A preconditioned block Arnoldi method for large Sylvester matrix equations (, , and ), In Numer. Linear Algebra Appl., volume 20, 208-219, . [pdf]
  12. Semidefinite concave programming (, and ), In Mong. Math. J., volume 16, 37-46, .
  13. A Kronecker approximation with a convex constrained optimization method for blind image restoration ( and ), In Optim. Lett., volume 6, 1251-1264, . [pdf]
  14. Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation (, and ), In Appl. Numer. Math., volume 62, 1089-1108, . [pdf]
  15. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, 102-5, . [pdf]
  16. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, 2078-2089, . [pdf]
  17. Inverse problems: Computation and applications [Preface] (, , , , and ), In J. Comput. Appl. Math., volume 236, 2047-2048, . [pdf]
  18. Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations (, and ), In J. Comput. Appl. Math., volume 236, 1531-1542, . [pdf]
  19. Convex constrained optimization for large-scale generalized Sylvester equations (, and ), In Comput. Optim. Appl., volume 48, 233-253, . [pdf]
  20. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, 1677-1688, . [pdf]
  21. Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations ( and ), In Appl. Numer. Math., volume 61, 149-159, . [pdf]
  22. A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), In Appl. Math. Comput., volume 215, 4067-4079, . [pdf]
  23. Meshless polyharmonic div-curl reconstruction ( and ), In Math. Model. Nat. Phenom., volume 5, 55-59, . [pdf]
  24. Meshless pseudo-polyharmonic divergence-free and curl-free vector fields approximation ( and ), In SIAM J. Math. Anal., volume 42, 1218-1245, . [pdf]
  25. A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), In Appl. Math. Comput., volume 215, 4067-4079, . [pdf]
  26. An iterative method for Bayesian Gauss-Markov image restoration ( and ), In Appl. Math. Model., volume 33, 361-372, . [pdf]
  27. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), In Appl. Math. Comput., volume 206, 687-694, . [pdf]
  28. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), In Comput. Methods Appl. Mech. Engrg., volume 197, 3733-3741, . [pdf]
  29. Error estimates for interpolating div-curl splines under tension on a bounded domain ( and ), In J. Approx. Theory, volume 152, 66-81, . [pdf]
  30. Pseudo-polyharmonic vectorial approximation for div-curl and elastic semi-norms ( and ), In Numer. Math., volume 109, 333-364, . [pdf]
  31. Estimation de l'erreur pour l'interpolation vectorielle par les div-rot splines sous tension ( and ), In C. R. Math. Acad. Sci. Paris, volume 345, 527-530, . [pdf]
  32. Sylvester Tikhonov-regularization methods in image restoration ( and ), In J. Comput. Appl. Math., volume 206, 86-98, . [pdf]
  33. Div-curl weighted minimizing splines ( and ), In Anal. Appl. (Singap.), volume 5, 95-122, . [pdf]
  34. Error estimates in Sobolev spaces for interpolating thin plate splines under tension (), In J. Comput. Appl. Math., volume 200, 208-216, . [pdf]
  35. Estimation de l'erreur pour l'interpolation par des splines de type plaque mince sous tension (), In C. R. Math. Acad. Sci. Paris, volume 342, 349-352, . [pdf]
  36. Approximation of vectors fields by thin plate splines with tension ( and ), In J. Approx. Theory, volume 136, 198-229, . [pdf]
  37. Weighted thin plate splines (), In Anal. Appl. (Singap.), volume 3, 297-324, . [pdf]
  38. Radial basis functions under tension ( and ), In J. Approx. Theory, volume 127, 135-154, . [pdf]
  39. Hilbertian approach for univariate spline with tension (), In Approx. Theory Appl. (N.S.), volume 17, 36-57, . [pdf]
  40. Multivariate interpolating $(m,l,s)$-splines ( and ), In Adv. Comput. Math., volume 11, 287-314, . [pdf]

Chapitres de livres

  1. Pseudo-differential operator associated to the radial basis functions under tension (), Chapter in RFMAO 05—Rencontres Franco-Marocaines en Approximation et Optimisation 2005, EDP Sci., Les Ulis, volume 20, 72-82, .
  2. Div-free minimizing splines under tension ( and ), Chapter in Curve and surface fitting: Avignon 2006, Nashboro Press, Brentwood, TN, 31-40, .
  3. Splines in approximation and differential operators: $(m,l,s)$ interpolating-spline ( and ), Chapter in Spline functions and the theory of wavelets (Montreal, PQ, 1996), Amer. Math. Soc., volume 18, 77-87, .
  4. Spline curves and surfaces with tension ( and ), Chapter in Wavelets, images, and surface fitting (Chamonix-Mont-Blanc, 1993), A K Peters, 51-58, .
  5. $L^{m,l,s}$-splines in ${\bf R}^d$ ( and ), Chapter in Numerical methods in approximation theory, Vol. 9 (Oberwolfach, 1991), Birkhäuser, volume 105, 135-154, .

Rapports

  1. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), Technical report 471, LMPA, .
  2. A meshless method for the numerical computation of the solution of steady Burgers-type equations (, and ), Technical report, LMPA, .
  3. An Inexact Newton Block Arnoldi Method for Discrete-Time Algebraic Riccati Equations ( and ), Technical report 467, LMPA, .
  4. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), Technical report 457, LMPA, .
  5. A generalized global Arnoldi method for ill-posed matrix equations. (, and ), Technical report 452, LMPA, .
  6. A generalised lobal Arnoldi method for ill-posed matrix equations (, and ), Technical report 445, LMPA, .
  7. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), Technical report 442, LMPA, .
  8. A Kroneker approximation with a convex constrained optimization method for blind image restoration ( and ), Technical report 441, LMPA, .
  9. An Extrapolated TSVD Method for Linear Discrete Ill-Posed Problems with Kronecker Structure (, , and ), Technical report 423, LMPA, .
  10. Signal reconstruction in optical tomography by using B-spline Galerkin approximation (, and ), Technical report, LMPA, .
  11. Signal reconstruction in optical tomography by using B-spline Galerkin approximation (, and ), Technical report 417, LMPA, .
  12. Block Arnoldi-Based Methods for Large Scale Discrete-Time Algebraic Riccati Equations (, and ), Technical report 415, LMPA, .
  13. A Numerical method for one dimensional diffusion problem using Fourier transform and the B-spline Galerkin method (, and ), Technical report 396, LMPA, .
  14. Meshless Pseudo-Polyharmonic Div-Free and Curl-Free Vector Fields Approximation ( and ), Technical report 394, LMPA, .
  15. Stein high-order one step implicit Runge-Kutta methods for large-scale ordinary differential equations ( and ), Technical report 376, LMPA, .
  16. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), Technical report 356, LMPA, .
  17. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), Technical report 331, LMPA, .
  18. Convex constrained optimization for large-scale ill-conditioned generalized Sylvester equations (, and ), Technical report 322, LMPA, .
  19. Div-curl weighted minimizing splines ( and ), Technical report, LMPA, .
  20. Sylvester Tikhonov-Regularization Methods in Image Restoration ( and ), Technical report 254, LMPA, .
  21. Approximation of Vectors Fields by Thin Plate Splines with Tension ( and ), Technical report, LMPA, .
  22. An iterative method for Bayesian Gauss-Markov image restoration ( and ), Technical report 240, LMPA, .
  23. Error estimates in Sobolev spaces for interpolating thin plate Splines under tension (), Technical report, LMPA, .
  24. Weighted Thin Plate Splines (), Technical report, LMPA, .
  25. Approximation by thin plate spline with tension (), Technical report, LMPA, .
  26. A Symplectic Arnoldi Method for Hamiltonian Matrix Eigenvalue Problem ( and ), Technical report, LMPA, .
  27. Hilbertian approach for univariate spline with tension (), Technical report, LMPA, .
  28. Scattered Data Interpolation using Radial Basis Functions with Tension (), Technical report, LMPA, .

Agenda