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New Numerical Algorithm for Deflation of Infinite and Zero Eigenvalues and Full Solution of Quadratic Eigenvalue Problems

New Numerical Algorithm for Deflation of Infinite and Zero Eigenvalues and Full Solution of Quadratic Eigenvalue Problems

This article presents a new method for computing all eigenvalues and eigenvectors of quadratic matrix pencil Q (λ)=λ 2 M + λ C + K . It is an upgrade of the quadeig algorithm by Hammarlinget al., which attempts to reveal and remove by deflation a certain number of zero …