International Journal papers




  1. A.H. Bentbib, K. Jbilou and Y. Kaouane, A computational global tangential Krylov subspace method for model reduction in large-scale MIMO dynamical systems, Journal of Scientific Computing, to appear, 2018, DOI: 10.1007/s10915-017-0601-x

  2. Y Guldogan, M Hached, K Jbilou and M Kurulay, Low rank approximate solutions to large-scale differential matrix Riccati equations, Applicationes Math., to appear, 2018.

  3. L. Elbouyahyaoui, M. Heyouni, K. Jbilou and A. Messaoudi, A block Arnoldi based method for the solution of the Sylvester-Observer equation, Electronic Transaction on Numerical Analysis, 47(2017), pp. 18-36..

  4. A.H. Bentbib, M. El Guide, K. Jbilou and L. Reichel, The Global Golub--Kahan bidiagonalization process applied to large discrete ill-posed problems; Journal of Computational and Applied Mathematics, 322(2017), pp. 46-56.

  5. H. Barkouki, A. Bentbib and K. Jbilou, A matrix rational Lanczos method for model reduction, Numerical Linear Algebra with Applications, 24(1) (2017), no. 1, e2077, pp. 1--13.

  6. O. Abidi, M. Hached and K. Jbilou, A global rational Arnoldi method for model reduction; Journal of Computational and Applied Mathematics, (2017), 325 (2017) 175–187.

  7. A.H. Bentbib, M. El Guide and K. Jbilou, The block Lanczos algorithm for linear ill-posed problems, Calcolo, 54(3)(2017), 711-732.

  8. O. Abidi, M. Heyouni and K. Jbilou, On some properties of the extended block and global Arnoldi methods with applications to model reduction, Numerical Algorithms, (75)(1)(2017), , pp 285–304.

  9. A.H. Bentbib, K. Jbilou and El M. Sadek, On some extended block Krylov based methods for large scale nonsymmetric Stein matrix equations, Mathematics, 2017, 5(2), 21; doi:10.3390/math5020021

  10. O. Abidi and K. Jbilou, Balanced Truncation-Rational Krylov methods for model reduction in large scale dynamical systems, Computational and Applied Mathematics, (2017), DOI: 10.1007/s40314-016-0359-z.

  11. M. Hached and K Jbilou, Computational Krylov-based methods for large-scale differential Sylvester matrix problems, arXiv preprint arXiv:1707.02078, (2017).

  12. K. Jbilou and A. Messaoudi, Block extrapolation methods with applications, Applied Numerical Mathematics, 106(2016) pp. 154-164.

  13. A. Bentbib, M. El Guide K. Jbilou and L. Reichel, A global Lanczos method for image restoration, Journal of Computational and Applied Mathematics, 300(2016), pp. 233–244.

  14. H. Barkouki, A. Bentbib, K. Jbilou, An Adaptive Rational Block Lanczos-Type Algorithm for Model Reduction of Large Scale Dynamical Systems, Journal of Scientific Computing, 67(2016) , pp. 221-236.

  15. Y Guldogan, M Hached, K Jbilou, M Kurulay, Low rank approximate solutions to large-scale differential matrix Riccati equations, arXiv preprint arXiv:1612.00499, 2016.

  16. H. Barkouki, A. Bentbib and K. Jbilou A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems, Applicationes Mathematicae, 43(2)(2016), pp. 277–294.

  17. K. Jbilou, A survey of Krylov-based methods for model reduction in large-scale MIMO dynamical systems, Applied and Computational Mathematics, 15(2) (2016), pp. 117--148.

  18. O. Abidi, M. Hached and K. Jbilou, Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems, New Trends in Mathematical, 4(2) (2016), pp. 227--239.

  19. K. Jbilou A note on the block and seed Bicgstab algorithms for nonsymmetric multiple linear systems, American Journal of Algorithms and Computing, 3 (1)(2016), pp. 1-13.

  20. A. Bouhamidi, M. Hached, K. Jbilou, A preconditioned Newton-block Arnoldi method for large scale algebraic Riccati equations, Journal of Global Optimization, 65(1) (2016), pp. 19-32.

  21. A. Bentbib, K. Jbilou, El.M. Sadek, On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems, Computers and Mathematics with Applications, 70(10)(2015), pp. 2555-2565.

  22. A. Bentbib, M. El Guide K. Jbilou, Matrix Krylov subspace methods for image restoration, New Trends in Mathematical Sciences, 3(2015), pp. 136-148.

  23. A. Bouhamidi, K. Jbilou, L. Reichel, H. Sadok and Z. Wang, Vector extrapolation applied to truncated singular value decomposition and truncated iteration, Journal of Engineering Mathematics 93 (2015), pp. 99–112.

  24. K. Jbilou, H. Sadok, Matrix polynomial and epsilon-type extrapolation methods with applications, Numerical Algorithms, 68(1) (2015), pp. 107-119.

  25. S. Agoujil, A. Bentbib, K. Jbilou et M. Sadek, A minimization method for large sylvester matrix problems, Electronic Transaction Numerical Analysis, 43(2014), pp. 45–59.

  26. A. Bouhamidi, R. Enkhbat and K. Jbilou, Conditional gradient Tikhonov method for a convex optimization problem in image restoration, Journal of Computational and Applied Mathematics, 255(2014), pp. 580-592.

  27. A. Bouhamidi, M. Hached, K. Jbilou, A meshless RBF method for computing a numerical solution of unsteady Burgers-type equations, Computer Mathematics with Applications , 68(3)(2014), pp. 238-256.

  28. A. Bouhamidi, M. Hached, K. Jbilou, A meshless method for the numerical computation of the solution of steady Burgers-type equations, Applied Numerical Mathematics, 74(2013), pp. 95-110.

  29. A. Bouhamidi, K. Jbilou, On the convergence of inexact Newton methods for discrete-time algebraic Riccati equations , Linear Algebra and its Applications, 439(7)(2013), pp. 2057-2069.

  30. A. Bouhamidi, K. Jbilou, A fast block Krylov implicit Rung-Kutta method for solving large-scale ordinary differential equations, Springer Optimization and its Application, 1(76) (2013), pp. 319-330.

  31. A. Bouhamidi M. Hached, M. Heyouni and K. Jbilou , A preconditioned block Arnoldi for large Sylvester matrix equations, Numerical Linear Algebra with Applications, 2 (2013), pp. 208-219. DOI: 10.1002/nla.831.

  32. A. Bouhamidi, R. Enkhbat and K. Jbilou, Semidefinite concave programming, Mong. Math. Journal, 16(2012), pp.37-47.

  33. A. Bouhamidi, K. Jbilou, L. Reichel, H. Sadok A generalized global Arnoldi method for ill posed matrix equations, J. Comput. Appl. Math., 236(8)(2012), pp. 2078-2089.

  34. A. Bouhamidi and K. Jbilou, A Kroneker approximation with a convex constrained optimization method for blind image restoration , Optimization Letters, 6(7)(2012), pp. 1251-1264.

  35. Addam, A. Bouhamidi and K. Jbilou, Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation , Appl. Num. Math., 62(9) (2012), pp. 1089-1108

  36. A. Bouhamidi, K. Jbilou, L. Reichel, H. Sadok, A generalized global Arnoldi method for ill posed matrix equations, J. Comput. Application. Math., 236(8)(2012), pp. 2078-2089.

  37. A. Bouhamidi M. Hached, M. Heyouni and K. Jbilou , A preconditioned block Arnoldi for large Sylvester matrix equations, Numer. Lin. Alg. Appl., 236-6(2011), pp. 1531-1542.

  38. A. Bouhamidi, M. Heyouni, K. Jbilou; Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations, J. Comput. Appl. Math., 236-6(2011), pp. 1531-1542.

  39. K. Jbilou, A. Messaoudi, A computational method for symmetric Stein matrix equations. In Numerical Linear Algebra in Signals, Systems and Control, 80(2011), pp. 295-311.

  40. A. Bouhamidi, K. Jbilou, M. Raydan, Convex constrained optimization for large-scale ill-conditioned gene Sylvester equations, Comput. Opt. Appl., 48(2011), pp. 233-253.

  41. A. Bouhamidi, K. Jbilou, Stein high-order one step implicit Runge-Kutta methods for large-scale ordinary differential equations, Appl. Num. Math., 61(2011), pp. 149-159.

  42. A. Bouhamidi, K. Jbilou, L. Reichel, H. Sadok, An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure, Linear Alg. Appl., 434, (7)(2011), pp. 1677-1688.

  43. A. Bouhamidi, K. Jbilou, Blind image restoration as a convex optimization problem, Int. J. Simul. Multidisci.Des. Optim. 4 (2010), pp. 33-38 .

  44. K. Jbilou, ADI preconditioned Krylov methods for large Lyapunov matrix equations, Linear. Alg. Appl., 432(10)(2010), pp. 2473-2485.

  45. M. Addam, A. Bouhamidi and K. Jbilou, A Numerical method for one dimensional diffusion problem using Fourier transform and the B-spline Galerkin method, App. Math. Comput., 215(12)(2010), pp. 4067-4079.

  46. B. Datta, M. Heyouni et K. Jbilou, The global Arnoldi process for solving the Sylvester-Observer equation, Comput. Appl. Math., 29(3)(2010), pp. 527-544.

  47. K. Jbilou, L. Reichel, H. Sadok, Vector extrapolation enhanced TSVD for linear discrete Ill-Posed problems, Numer. Algo., 51(2)(2009), pp. 195-208.

  48. M. Heyouni, K. Jbilou, An extended block Arnoldi method for large matrix Riccati equations, Elect. Trans. Numer. Anal., 33(2009), pp. 53-62.

  49. A. Bouhamidi, K. Jbilou, An iterative method for Bayesian Gauss-Markov image restauration, App. Math. Model., 33(2009), pp. 361-372.

  50. A. Bouhamidi, K. Jbilou, A note on the numerical approximate solution for generalized Sylvester Matrix equations, Appl. Math. Comput., 206(2)(2008), pp. 687-694.

  51. M. Bellalij, K. Jbilou, H. Sadok, New convergence results on the global GMRES method, J. Comput. Appl. Math., 219(2008), pp. 350-358.

  52. A. Bouhamidi, K. Jbilou, Meshless thin plate spline methods for the modified Helmholtz equation, Comput. Mech. Eng., 197(2008), pp. 3733-3741.

  53. M. Heyouni, K. Jbilou, A. Messaoudi and K. Tabaa, Model reduction in large scale MIMO dynamical systems via the block Lanczos method, Comput. Appl. Math., 27(2008), pp. 211-236.

  54. R. Bouyouli, K. Jbilou, R. Sadaka, H. Sadok, On some block minimal residual methods", Appl. Math. Lett., 20(2007), pp. 284-289.

  55. A. Bouhamidi, K. Jbilou, A Sylvester-Tikhonov regularization method for image restauration, J. Compt. Appl. Math., 206(2007), pp. 86-98.

  56. A. Bouhamidi, K. Jbilou, A Tikhonov method for image restauration, Trans. Comp., pp. 71-78, ISBN:84-689, 2006.

  57. M. Heyouni, K. Jbilou, Matrix Krylov subspace methods for large scale model reduction problems App. Math. Comput., 181(2006), pp. 1215-1228.

  58. R. Bouyouli, K. Jbilou, A. Messaoudi, H. Sadok, Convergence properties of some block Krylov methods, J. Compt. Appl. Math., 196(2006) pp. 498-511.

  59. K. Jbilou, Low-rank approximate solution to large Sylvester matrix equations, App. Math. Comput., 177(2006) pp. 365-376.

  60. K. Jbilou, An Arnoldi based method for large algebraic Riccati equations, App. Math. Lett., 19(2006), pp. 437-444.

  61. K. Jbilou, A. J. Riquet, Projection methods for large Lyapunov matrix equations, Linear Alg. Appl., 415(2-3)(2006), pp. 344-358

  62. K. Jbilou, A. Messaoudi, K. Tabaa, On some matrix extrapolation methods, Compt. Rend. Math., 341(12)(2005), pp. 781-786.

  63. K. Jbilou, H. Sadok, A. Tinzeft, Oblique projection methods for multiple linear systems, Elect. Trans. Num. Anal., 20(2005), pp. 119-138.

  64. K. Jbilou, A. Messaoudi, K. Tabaa, Some Schur complement identities to matrix extrapolation methods, Linear Alg. Appl., 392(2004), pp. 195-210.

  65. A. El Guennouni, K. Jbilou, H. Sadok, The block Lanczos method for multiple linear systems, Appl. Num. Math., 51(2004), pp. 243-256.

  66. K. Jbilou, Block Krylov subspace methods for large continuous-time algebraic Riccati equations, Numer. Algo., 34(2003), pp. 339-353.

  67. A. El Guennouni, K. Jbilou, H. Sadok, Block BICGSTAB for linear systems with multiple right sides, Elect. Trans. Numer. Anal., 16(2003), pp. 129-142.

  68. A. El Guennouni, K. Jbilou, A.J. Riquet, Block Krylov methods for large Sylvester equations, Numer. Algo., 29(2002), pp. 75-96.

  69. K. Jbilou, H. Sadok, Vector extrapolation methods. Application and numerical comparison, J. Comp. Appl. Math, 122(2000), pp. 149-165.

  70. K. Jbilou, Smoothing iterative block methods for linear systems with multiple right-hand sides, J. Comp. Appl. Math, 107(1999), pp. 97-109.

  71. K. Jbilou, A. Messaoudi, Matrix recursive interpolation algorithm for block linear systems, Lin. Alg. Appl., 294(1999), pp. 137-154.

  72. K. Jbilou, A. Messaoudi, H. Sadok, Global FOM and GMRES algorithms for multiple right-hand sides, Appl. Num. Math., 31(1999), pp. 49-63.

  73. K. Jbilou, H. Sadok, LU-implementation of the modified minimal polynomial extrapolation method, IMA J. Numer. Anal., 19(1999), pp. 549-561.

  74. K. Jbilou, H. Sadok, Hybrid vector sequence transformations, J. Comp. Appl. Math., 81(1997), pp. 257-267.

  75. K. Jbilou, Projection-minimization Methods for Nonsymmetric Linear Systems, Linear Alg. Appl., 229(1995), pp. 101-125.

  76. K. Jbilou, H. Sadok, Analysis of some vector extrapolation methods for linear systems, Numer. Math., 70(1995), pp. 73-89.

  77. K. Jbilou, A general projection algorithm for solving systems of linear equations, Numer. Algo., 4(1993), pp. 361-377.

  78. K. Jbilou, H. Sadok, Some results about vector extrapolation methods and related fixed point iteration, J. Comp. Appl. Math., 36(1991), pp. 385-398.

    Books, Special Journal Volumes

  79. Matrix Analysis and Applications, K. Jbilou et al., Electron. Trans. Numer. Anal. (2008/2009), 33(2008/2009), 220 pages.

  80. 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)]. K. Jbilou et al. , Applied Numerical Mathematics, 1053, 60(2010), 198 pages.

  81. Numerical Analysis and Scientific Computation with Applications (NASCA09), A. Bouhamidi, K. Jbilou and H. Sadok, Applied Numerical Mathematics , 62, Issue 9,  2012, 192 pages.

  82. Inversion Problems , Computation, and Applications, K. Jbilou et al., J. Comput. Appl. Math., IPCA10 , 236(8)2012, 187 pages.

  83. 10th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2011)]; K. Jbilou, L. Reichel, Y. Saad and H. Sadok, Applied Numerical Mathematics, 75(2014), 196 pages.

  84. Numerical Analysis and Scientific Computation with Applications (NASCA13), K. Jbilou, L. Reichel, H. Sadok, "in Electron. Trans. Numer. Anal., 43 (2014-2015), 254 pages.

  85. Numerical Linear Algebra with Applications (NL2A), G. Meurant, K. Jbilou and L. Reichel "in Electron. Trans. Numer. Anal., 47 (2017), --pages.

  86. A.H. Bentbib, M. El Guide, K. Jbilou and L. Reichel, Solution methods for linear discrete ill-posed problems for color image restoration, submitted 2017.

  87. M. Hached and K. Jbilou Numerical solutions to large-scale differential Lyapunov matrix equations with applications for model reduction problems, submitted, 2017.

  88. H. Barkouki, A.H. Bentbib; M. Heyouni and K. Jbilou, An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems, submitted, 2017.

  89. M. Hached and K. Jbilou Computational Krylov-based methods for large-scale differential Sylvester matrix problems, submitted, 2017.

  90. M. Bellalij, R. Enkhbat, K. Jbilou, T. Bayartugs, A Method for Semidefinite Quasiconvex Maximization Problem; The Bulletin of Irkutsk state university. Series mathematics”, vol. 18, 2016.

  91. K. Jbilou, Approximate solutions to large Stein matrix equations, World Academy of Science, Engineering and Technology 70(2012), pp. 19-25.

  92. A. Bouhamidi, K. Jbilou, A Tikhonov method for image restauration, Trans. Comp., pp. 71-78, ISBN:84-689, 2006.

  93. A. Bouhamidi and K. Jbilou, Krylov subspace methods for Helmholtz equation using meshless thin plate spline, Proceeding of the 2nd International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, Granada, MAMERN Spain, July 11-13, (2007), pp 49-54, , ISBN 978-84-338-4782.

  94. A. Bouhamidi and K. Jbilou, A Stein Markov-Gauss method for image restoration, Proceeding of the 2nd International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, MAMERN, Granada, Spain, July 11-13, (2007), pp 273-278, ISBN 978-84-338-4782-9.

  95. K. Jbilou, "On Krylov subspace methods for solving the matrix Sylvester equation AX-XB=C", ICNA, Marrakech, Maroc. Septembre 1998; LMPA-71.

  96. K. Jbilou, H. Sadok, "Global Lanczos methods for multiple linear systems", Conference on numerical iterative methods. Milovy, Rep. Tchèque, juin 1997; LMA-42, 1997.

  97. K. Jbilou, "Oblique and orthogonal projection methods for linear systems", Publication, LMA-17, Université du Littoral 1996.

  98. K. Jbilou, "G-orthogonal projection methods for linear systems", Pub., ANO-299, Université de Lille1 1993.

  99. K. Jbilou, "On some vector extrapolation methods", Pub. ANO-305, Université de Lille1 1993.

  100. K. Jbilou PhD Thesis, 1988, University Lille 1.

  101. K. Jbilou Habilitation Thesis, 1999, University Littoral Cote d'Opale.