A modified second-order Arnoldi method for solving the quadratic eigenvalue problems

DOI10.1016/j.camwa.2016.11.027zbMath1368.65059OpenAlexW2563191654MaRDI QIDQ2013815

Xiao-Bin Tang, Liang-Zhi Mao, Xiang Wang

Publication date: 9 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.11.027

zbMATH Keywords

Krylov subspaceArnoldi procedurequadratic eigenvalue problems (QEP)Rayleigh-Ritz orthogonal projectionsecond-order Arnoldi method (SOAR)

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrix equations and identities (15A24) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items

Solving constrained quadratic inverse eigenvalue problem via conjugate direction method ⋮ Commuting solutions of the Yang-Baxter-like matrix equation for a class of rank-two updated matrices ⋮ On preconditioned normal and skew-Hermitian splitting iteration method for continuous Sylvester equations AX + XB = C*

Uses Software

• JDQR
• NLEVP
• JDQZ

Cites Work

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