Linking the TPR1, DPR1 and arrow-head matrix structures

DOI10.1016/j.camwa.2005.04.020zbMath1132.15009OpenAlexW2051443762MaRDI QIDQ2469906

Yanyan Li

Publication date: 11 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.04.020

zbMATH Keywords

numerical stabilityFrobenius companion matrixsimilarity transformsalgebraic eigenproblemarrow-head matricesdiagonal plus rank-one matrixpolynomial root-finderstriangular plus rank-one matrix

Mathematics Subject Classification ID

Related Items (2)

Matrix computations and polynomial root-finding with preprocessing ⋮ Eigen-solving via reduction to DPR1 matrices

Cites Work

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• Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal
• Inverse power and Durand-Kerner iterations for univariate polynomial root-finding
• Improved initialization of the accelerated and robust QR-like polynomial root-finding
• A note on the representation and definition of semiseparable matrices

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