A generalized Rayleigh quotient iteration for lambda-matrices

DOI10.1007/BF00277446zbMath0105.31705MaRDI QIDQ775389

Peter Lancaster

Publication date: 1961

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

numerical analysis

Related Items (18)

On a Chebyshev matrix operator method for ordinary linear differential equations with non-constant coefficients ⋮ On the numerical solution of nonlinear eigenvalue problems ⋮ Variational and numerical methods for symmetric matrix pencils ⋮ The nonlinear eigenvalue problem ⋮ Convergence factors of Newton methods for nonlinear eigenvalue problems ⋮ Nonlinear Rayleigh functionals ⋮ Computational methods of linear algebra ⋮ The equivalence of the constrained Rayleigh quotient and Newton methods for matrix polynomials expressed in different polynomial bases along with the confluent case ⋮ Convergence Orders of Iterative Methods for Nonlinear Eigenvalue Problems ⋮ Photonic band structure calculations using nonlinear eigenvalue techniques ⋮ Block \(\mathbf {LU}\) factors of generalized companion matrix pencils ⋮ The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices ⋮ A survey on variational characterizations for nonlinear eigenvalue problems ⋮ Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation ⋮ Rayleigh quotient algorithms for nonsymmetric matrix pencils ⋮ Algorithms for lambda-matrices ⋮ Operator equations and nonlinear eigenparameter problems ⋮ Two-sided and alternating Jacobi-Davidson

Cites Work

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• Über näherungsweise Auflösung von Systemen homogener linearer Gleichungen
• Inversion of lamdba-matrices and application to the theory of linear vibrations
• FREE VIBRATIONS OF LIGHTLY DAMPED SYSTEMS BY PERTURBATION METHODS
• Iterative procedures related to relaxation methods for eigenvalue problems
• The accuracy of Rayleigh’s method of calculating the natural frequencies of vibrating systems

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