Neutral Subspaces of Complex Matrices


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详细

Consider the quadratic matrix equation XTDX +AX +XTB + C = 0, where all the matrices are square and have the same order n. With this equation, a block matrix M of the double order 2n can be associated. The solvability of the equation turns out to be related to the existence of neutral subspaces of dimension n for M. The paper presents reasonably general conditions ensuring the existence of such subspaces.

作者简介

Kh. Ikramov

Moscow State University

编辑信件的主要联系方式.
Email: ikramov@cs.msu.su
俄罗斯联邦, Moscow


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