- E-postalexander.malyshev@uib.no
- Telefon+47 55 58 47 72
- BesøksadresseAllégaten 41Realfagbygget5007 Bergen
- PostadressePostboks 78035020 Bergen
Vitenskapelig artikkel
- (2024). On the stability radius for linear time-delay systems. BIT Numerical Mathematics.
- (2023). Numerical Method for 3D Quantification of Glenoid Bone Loss. Lecture Notes in Computer Science (LNCS). 289-296.
- (2023). Decay estimates of Green's matrices for discrete-time linear periodic systems. Linear and multilinear algebra. 17 sider.
- (2020). Dual formulation of the tv-stokes denoising model for multidimensional vectorial images. Lecture Notes in Computer Science (LNCS). 580-587.
- (2020). Depth map estimation with consistent normals from stereo images. Lecture Notes in Computer Science (LNCS). 553-565.
- (2020). Computing the distance to continuous-time instability of quadratic matrix polynomials. Numerische Mathematik. 149-165.
- (2020). An Introductory Review to Surface Reconstruction. IOP Conference Series: Materials Science and Engineering.
- (2019). On the distance to instability of quadratic matrix polynomials. Comptes rendus. Mathematique. 571-575.
- (2018). The Bauer-Type Factorization of Matrix Polynomials Revisited and Extended. Computational Mathematics and Mathematical Physics. 1025-1034.
- (2018). Preconditioning of conjugate gradient iterations in interior point MPC method. IFAC-PapersOnLine. 394-399.
- (2018). Preconditioned Krylov iterations and condensing in interior point MPC method. IFAC-PapersOnLine. 388-393.
- (2018). Estimating the discretization dependent accuracy of perfusion in coupled capillary flow measurements. PLOS ONE. 1-16.
- (2017). Least squares dynamics in Newton-Krylov Model Predictive Control. American Control Conference (ACC). 5045-5050.
- (2016). Sparse preconditioning for model predictive control. American Control Conference (ACC). 4494-4499.
- (2016). Accelerated graph-based nonlinear denoising filters. Procedia Computer Science. 607-616.
- (2015). Preconditioning for continuation model predictive control. IFAC-PapersOnLine. 191-196.
- (2015). Efficient particle continuation model predictive control. IFAC-PapersOnLine. 287-291.
- (2015). Continuation model predictive control on smooth manifolds. IFAC-PapersOnLine. 126-131.
- (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. 165-176.
- (2014). Fast solution of unsymmetric banded Toeplitz systems by means of spectral factorizations and Woodbury's formula. Numerical Linear Algebra with Applications. 13-23.
- (2014). A subspace iteration for symplectic matrices. Electronic Transactions on Numerical Analysis. 213-222.
- (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. 189-200.
- (2013). On the stability of a two-sided sweep algorithm. Sibirskie Elektronnye Matematicheskie Izvestiya. 504-516.
- (2013). On the acceleration of an algorithm for polynomial factorization. Doklady. Mathematics. 586-589.
- (2013). On solution of large systems of linear equations with block-Toeplitz banded matrices. Doklady. Mathematics. 153-155.
- (2011). Using the Sherman-Morrison-Woodbury inversion formula for a fast solution of tridiagonal block Toeplitz systems. Linear Algebra and its Applications. 2693-2707.
- (2011). Circular trichotomy of the spectrum of regular matrix pencils. Linear Algebra and its Applications. 717-733.
- (2009). A dual formulation of the TV-Stokes algorithm for image denoising. Lecture Notes in Computer Science (LNCS). 307-318.
- (2009). A Dual Formulation of the TV-Stokes Algorithm for Image Denoising. Lecture Notes in Computer Science (LNCS). 307-318.
- (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. 1089-1099.
- (2006). Condition numbers of the Krylov bases and spaces associated with the truncated QZ iteration. Electronic Transactions on Numerical Analysis. 5-14.
- (2006). Computation of Smallest Eigenvalues in the Sturm–Liouville Problem with Strongly Varying Coefficients. SIAM Journal on Matrix Analysis and Applications. 961-970.
- (2005). Perturbation theory with respect to the first approximation for the symmetric Lanczos algorithm. Computational Mathematics and Mathematical Physics. 374-382.
- (2004). Componentwise pseudospectrum of a matrix. Linear Algebra and its Applications. 283-288.
- (2003). Inner Deflation for Symmetric Tridiagonal Matrices. Linear Algebra and its Applications. 139-144.
- (2003). Condition numbers for Lanczos bidiagonalization with complete reorthogonalization. Linear Algebra and its Applications. 315-331.
- (2003). A unified theory of conditioning for linear least squares and Tikhonov regularization solutions. SIAM Journal on Matrix Analysis and Applications. 1186-1196.
- (2002). Computation of Optimal Backward Perturbation Bounds for Large Sparse Linear Least Squares Problems. BIT Numerical Mathematics. 739-747.
- (2001). Optimal Backward Perturbation Bounds for the LSS Problem. BIT Numerical Mathematics. 430-432.
- (2000). A note on the stability og Gauss-Jordan elimination for diagonally dominant matrices. Computing. 281-284.
- (1999). On the stability of large matrices. Journal of Computational and Applied Mathematics. 303-313.
- (1999). A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues. Numerische Mathematik. 443-454.
- (1997). On parabolic and elliptic spectral dichotomy. SIAM Journal on Matrix Analysis and Applications. 265-278.
Rapport
- (2000). On deflation for symmetric tridiagonal matrices. 182. 182. .
- (2000). On deflation for symmetric tridiagonal matrices. 182. 182. .
- (1999). Note on the stability of Gauss-Jordan elimination for diagonally dominant matrices. 168. 168. .
- (1998). Stability radii of symplectic and Hamiltonian matrices. 160. 160. .
- (1998). Optimal backward perturbation bounds for the linear least squares problem of deficient rank. 161. 161. .
- (1997). On Wilkinson's problem. 140. 140. .
Vitenskapelig foredrag
- (2009). A new variant of the block cyclic reduction.
- (1996). Spectral portrait of matrices by block diagonalization.
- (1996). On spectral trichotomy of symplectic and hamiltonian matrices.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
- (2019). Variational Model for Depth Estimation from Images. 8 sider.
- (2019). Modelling and Simulation of Lily flowers using PDE Surfaces. 8 sider.
- (2018). A regularized Newton solver for linear model predictive control. 6 sider.
- (2017). Signal reconstruction via operator guiding. 5 sider.
- (2015). Preconditioned Continuation Model Predictive Control. 8 sider.
- (2015). Conjugate gradient acceleration of non-linear smoothing filters. 5 sider.
- (2015). Accelerated graph-based spectral polynomial filters. 6 sider.
- (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). 5 sider.
- (1996). Matrix equations. Factorization of matrix polynomials. 38 sider.
Poster
- (2009). A Dual Formulation of the TV-Stokes Algorithm for Image Denoising.
- (2004). A 3-D tracer kinetic model using the mass balance principle.