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

## Publications

### Articles de revues

1. On solving an acoustic wave problem via frequency-domain approach and tensorial spline Galerkin method (, and ), In J. Sci. Comput., volume 74, 1193-1220, . [pdf]
2. Conditional gradient method for double-convex fractional programming matrix problems (, , , and ), In J. Optim. Theory Appl., volume 176, 163-177, . [pdf]
3. Conditional Gradient Method for Double-Convex Fractional Programming Matrix Problems (, , , and ), In 176(2018), pp 163-177, .
4. Generalized synchronization of identical and nonidentical chaotic dynamical systems via master approaches (, and ), In Int. J. Optim. Control. Theor. Appl. IJOCTA, volume 7, 248-254, . [pdf]
5. A preconditioned block Arnoldi method for large scale Lyapunov and algebraic Riccati equations (, and ), In J. Global Optim., volume 65, 19-32, . [pdf]
6. A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations (, and ), In Journal of Global Optimization, volume 93, .
7. Vector extrapolation applied to truncated singular value decomposition and truncated iteration. (, , and ), In Journal of Engineering Mathematics, volume 93, 99-122, .
8. Vector extrapolation applied to truncated singular value decomposition and truncated iteration (, , and ), In J. Engrg. Math., volume 93, 99-112, . [pdf]
9. A frequency-domain approach for the $\roman{P}_1$ approximation of time-dependent radiative transfer (, and ), In J. Sci. Comput., volume 62, 623-651, . [pdf]
10. A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations (, and ), In Computer Mathematics with Applications, volume 68(3), 238-256, .
11. A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations (, and ), In Comput. Math. Appl., volume 68, 238-256, . [pdf]
12. Conditional gradient Tikhonov method for a convex optimization problem in image restoration (, and ), In J. Comput. Appl. Math., volume 255, 580-592, . [pdf]
13. A fast block Krylov implicit Rung-Kutta method for solving large- scale ordinary differential equations ( and ), In Opt and Applications, volume 1(76), .
14. 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]
15. On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations ( and ), In Linear Algebra Appl., volume 439, 2057-2069, . [pdf]
16. A preconditioned block Arnoldi method for large Sylvester matrix equations (, , and ), In Numer. Linear Algebra Appl., volume 20, 208-219, . [pdf]
17. Semidefinite concave programming (, and ), In Mong. Math. J., volume 16, 37-46, .
18. A Kronecker approximation with a convex constrained optimization method for blind image restoration ( and ), In Optim. Lett., volume 6, 1251-1264, . [pdf]
19. Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation (, and ), In Appl. Numer. Math., volume 62, 1089-1108, . [pdf]
20. Numerical Analysis and Scientific Computation with Applications (NASCA) [Preface] (, and ), In Appl. Numer. Math., volume 62, 102-5, . [pdf]
21. A generalized global Arnoldi method for ill-posed matrix equations (, , and ), In J. Comput. Appl. Math., volume 236, 2078-2089, . [pdf]
22. Inverse problems: Computation and applications [Preface] (, , , and ), In J. Comput. Appl. Math., volume 236, 2047-2048, . [pdf]
23. Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations (, and ), In J. Comput. Appl. Math., volume 236, 1531-1542, . [pdf]
24. Convex constrained optimization for large-scale generalized Sylvester equations (, and ), In Comput. Optim. Appl., volume 48, 233-253, . [pdf]
25. An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure (, , and ), In Linear Algebra Appl., volume 434, 1677-1688, . [pdf]
26. 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]
27. 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]
28. Meshless polyharmonic div-curl reconstruction ( and ), In Math. Model. Nat. Phenom., volume 5, 55-59, . [pdf]
29. Meshless pseudo-polyharmonic divergence-free and curl-free vector fields approximation ( and ), In SIAM J. Math. Anal., volume 42, 1218-1245, . [pdf]
30. 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]
31. An iterative method for Bayesian Gauss-Markov image restoration ( and ), In Appl. Math. Model., volume 33, 361-372, . [pdf]
32. A note on the numerical approximate solutions for generalized Sylvester matrix equations with applications ( and ), In Appl. Math. Comput., volume 206, 687-694, . [pdf]
33. Meshless thin plate spline methods for the modified Helmholtz equation ( and ), In Comput. Methods Appl. Mech. Engrg., volume 197, 3733-3741, . [pdf]
34. Error estimates for interpolating div-curl splines under tension on a bounded domain ( and ), In J. Approx. Theory, volume 152, 66-81, . [pdf]
35. Pseudo-polyharmonic vectorial approximation for div-curl and elastic semi-norms ( and ), In Numer. Math., volume 109, 333-364, . [pdf]
36. 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]
37. Sylvester Tikhonov-regularization methods in image restoration ( and ), In J. Comput. Appl. Math., volume 206, 86-98, . [pdf]
38. Div-curl weighted minimizing splines ( and ), In Anal. Appl. (Singap.), volume 5, 95-122, . [pdf]
39. Error estimates in Sobolev spaces for interpolating thin plate splines under tension (), In J. Comput. Appl. Math., volume 200, 208-216, . [pdf]
40. 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]
41. Approximation of vectors fields by thin plate splines with tension ( and ), In J. Approx. Theory, volume 136, 198-229, . [pdf]
42. Weighted thin plate splines (), In Anal. Appl. (Singap.), volume 3, 297-324, . [pdf]
43. Radial basis functions under tension ( and ), In J. Approx. Theory, volume 127, 135-154, . [pdf]
44. Hilbertian approach for univariate spline with tension (), In Approx. Theory Appl. (N.S.), volume 17, 36-57, . [pdf]
45. 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, .

octobre 2018 :