Simultaneous tridiagonalization of two symmetric matrices

DOI10.1002/nme.733zbMath1043.65065OpenAlexW2008938152MaRDI QIDQ4457474

Françoise Tisseur, John E. T. Penny, Seamus D. Garvey, Uwe Prells, Michael I. Friswell

Publication date: 22 March 2004

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.733

zbMATH Keywords

algorithmsnumerical experimentsgeneralized eigenvalue problemnumerical stabilitysymmetric matricessecond order systemstridiagonalizationsymmetric quadratic eigenvalue problem

Mathematics Subject Classification ID

Related Items (7)

Classification of the five-dimensional Lie superalgebras over the real numbers ⋮ On the simultaneous tridiagonalization of two symmetric matrices ⋮ Simultaneous band reduction of two symmetric matrices ⋮ Deflating quadratic matrix polynomials with structure preserving transformations ⋮ A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system ⋮ General isospectral flows for linear dynamic systems ⋮ Exact SDP relaxations of quadratically constrained quadratic programs with forest structures

Cites Work

• Eigenvalues of Ax=lambdaBx for real symmetric matrices A and B computed by reduction to a pseudosymmetric form and the HR process
• Matrix Analysis
• Accuracy and Stability of Numerical Algorithms
• Unnamed Item
• Unnamed Item

This page was built for publication: Simultaneous tridiagonalization of two symmetric matrices