Simultane Iterationsverfahren f�r gro�e allgemeine Eigenwertprobleme

DOI10.1007/BF00778428zbMath0472.73107MaRDI QIDQ3926873

H. R. Schwarz

Publication date: 1981

Published in: Ingenieur-Archiv (Search for Journal in Brave)

zbMATH Keywords

eigenvectorssparse matricesconjugate gradientspositive definite matrixhigh ordersymmetricsmallest eigenvaluessimultaneous coordinate overrelaxationsimultaneous Rayleigh quotient iteration methods

Mathematics Subject Classification ID

Related Items (2)

Iterative Einschließung der kleinsten (größten) Eigenwerte eines hermiteschen Matrizenpaares. II ⋮ Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The eigenvalue problem \((A-\lambda B)x = 0\) for symmetric matrices of high order
• Zur Methode der finiten Elemente
• Simultaneous Rayleigh-quotient minimization methods for Ax=lambdaBx
• Two algorithms for treating \(Ax=\lambda Bx\)
• New iterative methods for solution of the eigenproblem
• Modification of Nesbet's algorithm for the iterative evaluation of eigenvalues and eigenvectors of large matrices
• Acceleration of the convergence in Nesbet's algorithm for eigenvalues and eigenvectors of large matrices
• The iterative calculation of several of the lowest or highest eigenvalues and corresponding eigenvectors of very large symmetric matrices
• 𝑆𝑂𝑅-methods for the eigenvalue problem with large sparse matrices
• Berechnung von Eigenwerten und Eigenvektoren normaler Matrizenpaare durch Ritz‐Iteration
• The solution of natural frequency equations by relaxation methods

This page was built for publication: Simultane Iterationsverfahren f�r gro�e allgemeine Eigenwertprobleme