Ein neues Gradientenverfahren zur simultanen Berechnung der kleinsten oder größten Eigenwerte des allgemeinen Eigenwertproblems

DOI10.1007/BF01459077zbMath0495.65014OpenAlexW364597986MaRDI QIDQ1169791

B. Doehler

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132816

zbMATH Keywords

Rayleigh quotientsmallest eigenvaluelarge sparse symmetric eigenproblemsnonlinear conjugate gradient iterationupdating of search directions

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Cites Work

• Unnamed Item
• The eigenvalue problem \((A-\lambda B)x = 0\) for symmetric matrices of high order
• Simultaneous iteration for the matrix eigenvalue problem
• Computing Eigenvalues of Complex Matrices by Determinant Evaluation and by Methods of Danilewski and Wielandt
• The computational efficiency of a new minimization algorithm for eigenvalue analysis
• Optimal gradient minimization scheme for finite element eigenproblems