Parallel solution of almost block diagonal systems on the CRAY Y-MP using level 3 BLAS

DOI10.1016/0377-0427(93)90273-EzbMath0780.65017MaRDI QIDQ688035

Ian Gladwell, Marcin Paprzycki

Publication date: 23 January 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

parallel linear algebraalmost block diagonal systemslevel 3 BLAS algorithm

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Using Strassen's matrix multiplication in high performance solution of linear systems, A survey of parallel direct methods for block bidiagonal linear systems on distributed memory computers, High performance solution of partial differential equations discretized using a Chebyshev spectral collocation method, Parallel solution of almost block diagonal systems on a hypercube, Almost block diagonal linear systems: sequential and parallel solution techniques, and applications

Uses Software

• NAG
• BLAS
• COLSYS
• SONEST
• CONEST

Cites Work

• On parallel methods for boundary value ODEs
• Solving almost block diagonal systems on parallel computers
• Codes for almost block diagonal systems
• FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
• Collocation Software for Boundary-Value ODEs
• Alternate Row and Column Elimination for Solving Certain Linear Systems
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• A set of level 3 basic linear algebra subprograms
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