Eigenvectors of real and complex matrices by LR and QR triangularizations

DOI10.1007/BF02219772zbMath0208.18303OpenAlexW2114628131MaRDI QIDQ2543632

Yanyan Li

Publication date: 1970

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

Full work available at URL: https://eudml.org/doc/132027

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Complexity and performance of numerical algorithms (65Y20)

Related Items

Unnamed Item, Unnamed Item, Comparison of numerical methods for solving Liapunov matrix equations†, Computational methods of linear algebra, Stability of Poiseuille flow in an anisotropic porous layer with oblique principal axes: More accurate solution, On the accuracy of interlaminar stress calculation in laminated plates, Generalized eigenvalue decomposition applied to estimation of spatial rPPG distribution of skin, Convergence of the shifted \(QR\) algorithm on \(3\times{} 3\) normal matrices

Uses Software

• ALGOL 60

Cites Work

• Similarity reduction of a general matrix to Hessenberg form
• THE MODIFIED LR algorithm for complex Hessenberg matrices
• Balancing a matrix for calculation of eigenvalues and eigenvectors
• The QR algorithm for real Hessenberg matrices
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Unnamed Item
• Unnamed Item
• Unnamed Item