Induced Dimension Reduction Method to Solve the Quadratic Eigenvalue Problem

DOI10.1007/978-3-319-57099-0_20zbMath1368.65055OpenAlexW2605938412MaRDI QIDQ5274946

R. Astudillo, Martin B. van Gijzen

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_20

zbMATH Keywords

algorithmquadratic eigenvalue problemArnoldi methodeigenpairsinduced dimension reduction

Mathematics Subject Classification ID

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

Cites Work

• A restarted induced dimension reduction method to approximate eigenpairs of large unsymmetric matrices
• The Quadratic Eigenvalue Problem
• Eigenvalue Computations Based on IDR
• IDR(s): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations
• SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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