Spectral Portrait of Matrices by Block Diagonalization. - P.-F. Lavallée; Alexander N. Malyshev; Miloud Sadkane (WNAA, 1996)

On Parabolic and Elliptic Spectral Dichotomy. - Alexander N. Malyshev; Miloud Sadkane (SIAM J. Matrix Anal. Appl., 1997)

A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues. - Alexander N. Malyshev (Numerische Mathematik, 1999)

A Note on the Stability of Gauss-Jordan Elimination for Diagonally Dominant Matrices. - Alexander N. Malyshev (Computing, 2000)

A Unified Theoryof Conditioning for Linear Least Squares and Tikhonov Regularization Solutions. - Alexander N. Malyshev (SIAM J. Matrix Anal. Appl., 2003)

Computation of Smallest Eigenvalues in the Sturm-Liouville Problem with Strongly Varying Coefficients. - Alexander N. Malyshev (SIAM J. Matrix Anal. Appl., 2006)

Fast solution of unsymmetric banded Toeplitz systems by means of spectral factorizations and Woodbury's formula. - Alexander N. Malyshev; Miloud Sadkane (Numer. Linear Algebra Appl., 2014)

Computing the distance to continuous-time instability of quadratic matrix polynomials. - Alexander N. Malyshev; Miloud Sadkane (Numerische Mathematik, 2020)