Eigen-solving via reduction to DPR1 matrices

DOI10.1016/j.camwa.2007.09.012zbMath1145.65311OpenAlexW2072061930MaRDI QIDQ950043

Xinmao Wang, Pan, Victor Y., Brian Murphy, Ai-Long Zheng, Rhys Eric Rosholt, Yuqing Tang

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.09.012

zbMATH Keywords

DPR1 matriceshessenberg matricesthe algebraic eigenproblemTPR1 matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items

Matrix computations and polynomial root-finding with preprocessing

Cites Work

• Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal
• Additive preconditioning, eigenspaces, and the inverse iteration
• On inverses of Hessenberg matrices
• Inverse power and Durand-Kerner iterations for univariate polynomial root-finding
• Improved initialization of the accelerated and robust QR-like polynomial root-finding
• Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations
• Additive preconditioning and aggregation in matrix computations
• Linking the TPR1, DPR1 and arrow-head matrix structures
• Matrix Algorithms
• A note on the representation and definition of semiseparable matrices
• An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form
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