Some decomposition results for companion matrices

DOI10.1016/j.jmaa.2005.05.071zbMath1094.65033OpenAlexW2060924352MaRDI QIDQ2488780

Khalid Shebrawi, Fuad Kittaneh

Publication date: 16 May 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.071

zbMATH Keywords

singular value decompositionQR decompositionpolar decompositionFrobenius companion matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (2)

The Coefficients of the FOM and GMRES Residual Polynomials ⋮ Is every matrix similar to a polynomial in a companion matrix?

Cites Work

• Unnamed Item
• Eigenvalues of the unitary part of a matrix
• Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices
• Bounds for the zeros of polynomials from matrix inequalities
• Matrix Analysis
• Singular Values of Companion Matrices and Bounds on Zeros of Polynomials
• Explicit polar decomposition of companion matrices
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix

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