A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems

DOI10.1137/16M1063563zbMath1352.65121MaRDI QIDQ2831082

Wen-Wei Lin, Ren-Cang Li, Yueh-Cheng Kuo, Teng Wang, Lin-Zhang Lu

Publication date: 2 November 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

numerical examplefast algorithmnonlinear matrix equationbackward error analysisdoubling algorithmpalindromic quadratic eigenvalue problemhigh speed trainsdeflation processsolvent approach

Mathematics Subject Classification ID

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

Related Items (4)

On a class of inverse palindromic eigenvalue problem ⋮ Updating \(\star \)-palindromic quadratic systems with no spill-over ⋮ Structured backward error for palindromic polynomial eigenvalue problems. II: Approximate eigentriplets ⋮ On inverse eigenvalue problems of quadratic palindromic systems with partially prescribed eigenstructure

Uses Software

• LAPACK

Cites Work

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• Backward Error of Polynomial Eigenproblems Solved by Linearization
• Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case
• Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems Arising from Vibration of Fast Trains
• Matrix Polynomials
• Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
• Canonical structures for palindromic matrix polynomials
• An Algorithm for Generalized Matrix Eigenvalue Problems

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