Hjem
Aleksandr Malyshevs bilde

Aleksandr Malyshev

Professor
  • E-postAlexander.Malyshev@uib.no
  • Telefon+47 55 58 47 72
  • Besøksadresse
    Realfagbygget, Allégt. 41
  • Postadresse
    Postboks 7803
    5020 Bergen
Tidsskriftartikler
  • Hanson, Erik Andreas; Sandmann, Constantin; Malyshev, Alexander; Lundervold, Arvid; Modersitzki, Jan; Hodneland, Erlend. 2018. Estimating the discretization dependent accuracy of perfusion in coupled capillary flow measurements. PLoS ONE. 13: 1-16. doi: 10.1371/journal.pone.0200521
  • Malyshev, Alexander; Quirynen, Rien; Knyazev, Andrew. 2018. Preconditioning of conjugate gradient iterations in interior point MPC method. IFAC-PapersOnLine. 51: 394-399. doi: 10.1016/j.ifacol.2018.11.065
  • Malyshev, Alexander; Quirynen, Rien; Knyazev, Andrew. 2018. Preconditioned Krylov iterations and condensing in interior point MPC method. IFAC-PapersOnLine. 51: 388-393. doi: 10.1016/j.ifacol.2018.11.064
  • Malyshev, Alexander; Sadkane, Miloud. 2018. The Bauer-Type Factorization of Matrix Polynomials Revisited and Extended. Computational Mathematics and Mathematical Physics. 58: 1025-1034. doi: 10.1134/S0965542518070126
  • Knyazev, Andrew; Malyshev, Alexander. 2017. Least squares dynamics in Newton-Krylov Model Predictive Control. American Control Conference (ACC). 5045-5050. doi: 10.23919/ACC.2017.7963737
  • Knyazev, Andrew; Malyshev, Alexander. 2016. Accelerated graph-based nonlinear denoising filters. Procedia Computer Science. 80: 607-616. doi: 10.1016/j.procs.2016.05.348
  • Knyazev, Andrew; Malyshev, Alexander. 2016. Sparse preconditioning for model predictive control. American Control Conference (ACC). 2016-July: 4494-4499. doi: 10.1109/ACC.2016.7526060
  • Knyazev, Andrew; Malyshev, Alexander. 2015. Efficient particle continuation model predictive control. IFAC-PapersOnLine. 48: 287-291. doi: 10.1016/j.ifacol.2015.11.102
  • Knyazev, Andrew; Malyshev, Alexander. 2015. Continuation model predictive control on smooth manifolds. IFAC-PapersOnLine. 48: 126-131. doi: 10.1016/j.ifacol.2015.11.071
  • Knyazev, Andrew; Malyshev, Alexander. 2015. Preconditioning for continuation model predictive control. IFAC-PapersOnLine. 48: 191-196. doi: 10.1016/j.ifacol.2015.11.282
  • Malyshev, Alexander; Sadkane, Miloud. 2014. On the computation of the distance to quadratic matrix polynomials that are singular at some points on the unit circle. Electronic Transactions on Numerical Analysis. 42: 165-176.
  • Malyshev, Alexander; Sadkane, Miloud. 2014. A bisection method for measuring the distance of a quadratic matrix polynomial to the quadratic matrix polynomials that are singular on the unit circle. BIT Numerical Mathematics. 54: 189-200. doi: 10.1007/s10543-013-0445-1
  • Malyshev, Alexander; Sadkane, Miloud. 2014. Fast solution of unsymmetric banded Toeplitz systems by means of spectral factorizations and Woodbury's formula. Numerical Linear Algebra with Applications. 21: 13-23. doi: 10.1002/nla.1853
  • Malyshev, Alexander; Sadkane, Miloud; Salam, Ahmed. 2014. A subspace iteration for symplectic matrices. Electronic Transactions on Numerical Analysis. 43: 213-222.
  • Malyshev, Alexander. 2013. On the stability of a two-sided sweep algorithm. Sibirskie Elektronnye Matematicheskie Izvestiya. 10: 504-516.
  • Malyshev, Alexander. 2013. On solution of large systems of linear equations with block-Toeplitz banded matrices. Doklady. Mathematics. 87: 153-155. doi: 10.1134/S1064562413020099
  • Malyshev, Alexander. 2013. On the acceleration of an algorithm for polynomial factorization. Doklady. Mathematics. 88: 586-589. doi: 10.1134/S106456241305027X
  • Malyshev, Alexander; Sadkane, Miloud. 2011. Using the Sherman-Morrison-Woodbury inversion formula for a fast solution of tridiagonal block Toeplitz systems. Linear Algebra and its Applications. 435: 2693-2707. doi: 10.1016/j.laa.2011.04.031
  • Malyshev, Alexander; Sadkane, Miloud; Pourquier, Olivier. 2011. Circular trichotomy of the spectrum of regular matrix pencils. Linear Algebra and its Applications. 435: 717-733. doi: 10.1016/j.laa.2010.06.019
  • Elo, Christoffer Artturi; Malyshev, Alexander; Rahman, Talal. 2009. A Dual Formulation of the TV-Stokes Algorithm for Image Denoising. Lecture Notes in Computer Science. 5567. 307-318. doi: 10.1007/978-3-642-02256-2_26
  • Elo, Christoffer; Malyshev, Alexander; Rahman, Talal. 2009. A dual formulation of the TV-Stokes algorithm for image denoising. Lecture Notes in Computer Science. 5567: 307-318.
  • Godunov, Sergei; Malyshev, Alexander. 2008. On a Special Basis of Approximate Eigenvectors with Local Supports for an Isolated Narrow Cluster of Eigenvalues of a Symmetric Tridiagonal Matrix. Computational Mathematics and Mathematical Physics. 48: 1089-1099. doi: 10.1134/S0965542508070026
  • Malyshev, Alexander. 2006. Computation of Smallest Eigenvalues in the Sturm–Liouville Problem with Strongly Varying Coefficients. SIAM Journal on Matrix Analysis and Applications. 28: 961-970.
  • Malyshev, Alexander; Sadkane, Miloud. 2006. Condition numbers of the Krylov bases and spaces associated with the truncated QZ iteration. Electronic Transactions on Numerical Analysis. 23: 5-14.
  • Malyshev, Alexander; Sadkane, Miloud. 2005. Perturbation theory with respect to the first approximation for the symmetric Lanczos algorithm. Computational Mathematics and Mathematical Physics. 45: 374-382.
  • Malyshev, Alexander; Sadkane, Miloud. 2004. Componentwise pseudospectrum of a matrix. Linear Algebra and its Applications. 378: 283-288.
  • Dhillon, I.; Malyshev, Alexander. 2003. Inner Deflation for Symmetric Tridiagonal Matrices. Linear Algebra and its Applications. 358: 139-144.
  • Malyshev, Alexander. 2003. A unified theory of conditioning for linear least squares and Tikhonov regularization solutions. SIAM Journal on Matrix Analysis and Applications. 24: 1186-1196.
  • Malyshev, Alexander; Sadkane, Miloud. 2003. Condition numbers for Lanczos bidiagonalization with complete reorthogonalization. Linear Algebra and its Applications. 371: 315-331.
  • Malyshev, Alexander; Sadkane, Miloud. 2002. Computation of Optimal Backward Perturbation Bounds for Large Sparse Linear Least Squares Problems. BIT Numerical Mathematics. 41: 739-747.
  • Malyshev, Alexander. 2001. Optimal Backward Perturbation Bounds for the LSS Problem. BIT Numerical Mathematics. 41: 430-432.
  • Malyshev, Alexander. 2000. A note on the stability og Gauss-Jordan elimination for diagonally dominant matrices. Computing. 65: 281-284.
  • Malyshev, Alexander. 1999. A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues. Numerische Mathematik. 83: 443-454.
  • Malyshev, Alexander; Sadkane, Miloud. 1999. On the stability of large matrices. Journal of Computational and Applied Mathematics. 102: 303-313.
  • Malyshev, Alexander; Sadkane, Miloud. 1997. On parabolic and elliptic spectral dichotomy. SIAM Journal on Matrix Analysis and Applications. 18: 265-278.
Rapporter/avhandlinger
  • Malyshev, Alexander. 2000. On deflation for symmetric tridiagonal matrices. Reports in Informatics. 182. Department of Informatics, University of Bergen, Bergen, Norway. 15 sider.
  • Malyshev, Alexander. 2000. On deflation for symmetric tridiagonal matrices. Reports in Informatics. 182. Department of Informatics, University of Bergen, Bergen, Norway. 15 sider.
  • Malyshev, Alexander. 1999. Note on the stability of Gauss-Jordan elimination for diagonally dominant matrices. Reports in Informatics. 168. Department of Informatics, University of Bergen, Bergen, Norway. 7 sider.
  • Malyshev, Alexander. 1998. Optimal backward perturbation bounds for the linear least squares problem of deficient rank. Reports in Informatics. 161. Institutt for Informatikk. 10 sider.
  • Malyshev, Alexander. 1998. Stability radii of symplectic and Hamiltonian matrices. Reports in Informatics. 160. Institutt for Informatikk. 7 sider.
  • Malyshev, Alexander. 1997. On Wilkinson's problem. Reports in Informatics. 140. Institutt for Informatikk. 11 sider.
Bokkapitler
  • Malyshev, Alexander; Quirynen, Rien; Knyazev, Andrew; Di Cairano, Stefano. 2018. A regularized Newton solver for linear model predictive control. Paper, sider 1393-1398. I:
    • Parisini, Thomas. 2018. 2018 European Control Conference (ECC). IEEE conference proceedings. 3232 sider. ISBN: 978-3-9524-2699-9.
  • Knyazev, Andrew; Malyshev, Alexander. 2017. Signal reconstruction via operator guiding. Artikkel, sider 630-634. I:
    • Tamberg, Gert. 2017. Sampling Theory and Applications (SampTA), 2017 International Conference on. IEEE conference proceedings. 681 sider. ISBN: 978-1-5386-1565-2.
  • Knyazev, Andrew; Fujii, Yuta; Malyshev, Alexander. 2015. Preconditioned Continuation Model Predictive Control. MPC control, sider 101-108. I:
    • Bonnet, Catherine; Pasik-Duncan, Bozenna; Ozbay, Hitay; Zhang, Qing. 2015. 2015 Proceedings of the Conference on Control and its Applications. Society for Industrial and Applied Mathematics. 490 sider. ISBN: 978-1-61197-407-2.
  • Knyazev, Andrew; Malyshev, Alexander. 2015. Conjugate gradient acceleration of non-linear smoothing filters. General Symposium, sider 245-249. I:
    • Fu, Shengli. 2015. 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP). IEEE conference proceedings. 1421 sider. ISBN: 9781479975914.
  • Knyazev, Andrew; Malyshev, Alexander. 2015. Accelerated graph-based spectral polynomial filters. Kernels, sider 1-6. I:
    • Erdoğmuş, Deniz; Akçakaya, Murat; Kozat, Serdar; Larsen, Jan. 2015. PROCEEDINGS OF MLSP2015. IEEE conference proceedings. 451 sider. ISBN: 978-1-4673-7454-5.
  • Malyshev, Alexander. 2004. Computation of the smallest eigenvalues of the Sturm-Liouville problem -(p(x)y')'+q(x)y=lambda*r(x)y with strongly varying coefficients p(x), q(x), and r(x). paper, sider 71-75. I:
    • Mikhailov, G.A.; Il'in, V.P.; Laevsky, Yu. M. 2004. Proceedings of the International Conference of Computational Mathematics ICCM--2004. Part I. 472 sider. ISBN: 5-901548-20-5.
  • Malyshev, Alexander. 1996. Matrix equations. Factorization of matrix polynomials. 79-116. I:
    • Hazewinkel, M. 1996. Handbook of Algebra, Vol.1. ISBN: 0-444-82212-7.

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