Eigenvalue computation in the 20th century

2000/11/01 by Gene H. Golub, H.A. van der Vorst, Henk A. van der Vorst · 2 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Algebra over a field #Algorithm #Applied mathematics #Calculus (dental) #Computation #Computer science #Eigenvalues and eigenvectors #Geometry #Linear algebra #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Numerical analysis #Numerical linear algebra #Polynomial and algebraic computation #Pure mathematics #Sketch #Stability (learning theory)

paper · pdf · doi:10.1016/s0377-0427(00)00413-1

crossref issued 2000/11/01 · crossref published 2000/11/01 · crossref published-print 2000/11/01 · openalex publication_date 2000/11/01 · crossref created 2002/10/14 · crossref deposited 2023/12/31 · openalex created_date 2025/10/10 · crossref indexed 2026/07/14 · openalex updated_date 2026/08/01

Citations

• The Rotation of Eigenvectors by a Perturbation. III
• On the Early History of the Singular Value Decomposition
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• Solution of Sparse Indefinite Systems of Linear Equations
• Norms and exclusion theorems
• On some algorithms for the solution of the complete eigenvalue problem
• Unitary Triangularization of a Nonsymmetric Matrix
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form

Cited by

• Quantum-Limited Blind Source Separation of Classical Light
• Eigenvalues and eigenvectors [wikipedia]