Email this article Neutral Subspaces of Complex Matrices
- Authors: Ikramov K.D.1
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Affiliations:
- Moscow State University
- Issue: Vol 216, No 6 (2016)
- Pages: 783-786
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237928
- DOI: https://doi.org/10.1007/s10958-016-2942-7
- ID: 237928
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Abstract
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.
About the authors
Kh. D. Ikramov
Moscow State University
Author for correspondence.
Email: ikramov@cs.msu.su
Russian Federation, Moscow
