Controllability of matrix eigenvalue algorithms: the inverse power method

DOI10.1016/S0167-6911(00)00039-6zbMath0985.93003MaRDI QIDQ1583084

Paul A. Fuhrmann, Uwe R. Helmke

Publication date: 26 October 2000

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

controllabilityprojective spaceinvariant subspaceseigenvalue methodreachable setsinverse power iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Controllability (93B05) Application models in control theory (93C95) Eigenvalue problems (93B60)

Related Items (3)

Superfast iterative solvers for linear matrix equations ⋮ On controllability of the real shifted inverse power iteration ⋮ Synthesis of fast and superfast solvers of large systems of linear algebraic equations using control theory methods

Cites Work

• Algebraic system theory: An analyst's point of view
• The Dynamics of Rayleigh Quotient Iteration
• The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
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