Solving the eigenvalue problem for matrices

DOI10.1007/BF01093278zbMath0515.65033MaRDI QIDQ1052041

V. N. Kublanovskaya, L. T. Savinova

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmsinvariant subspaceseigenvalue problemstest examplesRouth-Hurwitz problemALGOL programsarbitrary matrixquasitriangular matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Algorithms in computer science (68W99) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Cites Work

• A computational method for eigenvalues and eigenvectors of a matrix with real eigenvalues
• A new similarity transformation method for eigenvalues and eigenvectors
• Handbook series linear algebra. Linear least squares solutions by Householder transformations
• Reduction of the symmetric eigenproblem \(Ax =\lambda Bx\) and related problems to standard form
• Solution to the complex eigenproblem by a norm reducing Jacobi type method
• The QR algorithm for real Hessenberg matrices
• Solution of linear algebraic systems with rectangular matrices
• Simultaneous iteration method for symmetric matrices

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