Optimal gradient minimization scheme for finite element eigenproblems

DOI10.1016/0022-460X(72)90614-1zbMath0242.65041OpenAlexW2051682541MaRDI QIDQ5653519

Isaac Fried

Publication date: 1972

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(72)90614-1

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (12)

An improved iterative optimization technique for the leftmost eigenpairs of large symmetric matrices ⋮ A partial preconditioned conjugate gradient method for large eigenproblems ⋮ On conjugate gradient-like methods for eigen-like problems ⋮ Computational methods of linear algebra ⋮ Ein neues Gradientenverfahren zur simultanen Berechnung der kleinsten oder größten Eigenwerte des allgemeinen Eigenwertproblems ⋮ On the solution of high order stable time integration methods ⋮ An element eigenvalue theorem and its application for stable time steps ⋮ An accelerated conjugate gradient algorithm to compute low-lying eigenvalues -- a study for the Dirac operator in SU(2) lattice QCD ⋮ Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems ⋮ Extreme eigenvalues of large sparse matrices by Rayleigh quotient and modified conjugate gradients ⋮ Zero and negative masses in finite element vibration and transient analysis ⋮ On the efficiency of a class of a-stable methods

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