Implementing Lanczos-like algorithms on hypercube architectures

DOI10.1016/0010-4655(89)90165-3zbMath0798.65055OpenAlexW2044231999MaRDI QIDQ1330644

David S. Scott

Publication date: 30 October 1994

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(89)90165-3

zbMATH Keywords

parallel computationLanczos algorithmimplementationlarge symmetric eigenvalue problemsIntel hypercube distributed-memory message- passing parallel computer system

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05)

Related Items

Analytical Lanczos method: Quantum eigenstates of anharmonic oscillators in one or more dimensions

Uses Software

• YSMP

Cites Work

• The use of a refined error bound when updating eigenvalues of tridiagonals
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Towards a black box Lanczos program
• The Lanczos Algorithm with Selective Orthogonalization
• Estimates for Some Computational Techniques in Linear Algebra