On the solvability of a certain class of quadratic matrix equations

DOI10.1134/S1064562414020070zbMath1301.15013OpenAlexW2169999550MaRDI QIDQ461893

Khakim D. Ikramov

Publication date: 15 October 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414020070

zbMATH Keywords

solvabilityquadratic matrix equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (7)

Neutral subspaces of complex matrices ⋮ Numerical algorithm for solving quadratic matrix equations of a certain class ⋮ On the consistency of the matrix equation \(X^\top AX = B\) when \(B\) is symmetric: the case where \(\mathrm{CFC}(A)\) includes skew-symmetric blocks ⋮ The equation X^⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric? ⋮ An alternative approach for solving the quadratic matrix equation \(C^\ast X^\ast A X C + C^\ast X^\ast B + B^\ast X C + D = 0\) ⋮ Solutions of a second-order conjugate matrix equation ⋮ Solvability conditions for the matrix equation \(X^TDX+AX+X^TB+C=0\)

Cites Work

• Canonical forms for unitary congruence and *congruence
• Matrix Analysis
• On a QR-Like Algorithm for Some Structured Eigenvalue Problems
• Canonical Form for Matrices Under Unitary Congruence Transformations. I: Conjugate-normal Matrices

This page was built for publication: On the solvability of a certain class of quadratic matrix equations