A. I. Kochura, L. V. Podkolzina, Ya. A. Ivakin, I. I. Nidziev, “Singular matrix bundles in a generalized symmetric problem of eigenvalues”, Tr. SPIIRAN, 2013, Issue 26,Pages <nobr>253

This article is cited in 1 paper

Singular matrix bundles in a generalized symmetric problem of eigenvalues

A. I. Kochura^a, L. V. Podkolzina^a, Ya. A. Ivakin^b, I. I. Nidziev^c

^a Saint-Petersburg State Polytechnical University
^b St. Petersburg Institute for Informatics and Automation of RAS
^c N. G. Kuznetsov Naval Academy, St. Petersburg

Abstract: The article sets out the methods proposed for solving the generalized problem eigenvalues and vectors for singular matrix beams, occurring in the important applied problems of different branches of knowledge

Keywords: matrix beam, eigenvalue problem, spec-Central equation, characteristic matrix, the singular value decomposition of a matrix, the null space of the matrix, congruence, such a transformation the inertia matrix, the divisor of the spectrum, the dichotomy.

UDC: 681.3

Received: 11.06.2013