Rayleigh Quotient Iteration for Nonsymmetric Matrices
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Publication:3479448
DOI10.2307/2008797zbMath0701.65027OpenAlexW4256597369MaRDI QIDQ3479448
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2008797
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (9)
Constrained ellipse fitting with center on a line ⋮ Complexity of path-following methods for the eigenvalue problem ⋮ Newton's method and secant methods: a longstanding relationship from vectors to matrices ⋮ On controllability of the real shifted inverse power iteration ⋮ Two-sided Grassmann-Rayleigh quotient iteration ⋮ The asymptotics of Wilkinson's shift: Loss of cubic convergence ⋮ Convergence of the shifted \(QR\) algorithm on \(3\times{} 3\) normal matrices ⋮ Rayleigh quotient algorithms for nonsymmetric matrix pencils ⋮ \(QR\)-like algorithms for eigenvalue problems
Cites Work
- Rayleigh quotient iteration fails for nonsymmetric matrices
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Multiple attractors in Newton's method
- Newton’s Algorithm and Chaotic Dynamical Systems
- On the efficiency of algorithms of analysis
- The Dynamics of Rayleigh Quotient Iteration
- Analytic dynamics in some pseudoconvex domains
- The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
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