A new algorithm for computing the largest real part eigenvalue of matrices: Collatz \& Perron-Frobernius' approach

DOI10.1016/S0252-9602(11)60309-3zbMath1240.65123OpenAlexW2171515155MaRDI QIDQ655897

Publication date: 27 January 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(11)60309-3

zbMATH Keywords

algorithm stability linear systems positive matrices QR methods Collatz's eigenvalue inclusion theorem non-negative irreducible matrices Perron-Frobernius' theorem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Stability of solutions to ordinary differential equations (34D20) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Linear ordinary differential equations and systems (34A30)

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