A partitioning scheme and iterative solution for sparse bordered systems

DOI10.1016/0045-7825(88)90023-0zbMath0636.65024OpenAlexW1982622279MaRDI QIDQ1098226

E. Barragy, Graham F. Carey

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90023-0

zbMATH Keywords

partitioning schemeimplementationLanczos algorithmsresidual-based iterative methodssparse bordered matrix systemsvectorized supercomputers

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Factorization of matrices (15A23) Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Iterative numerical methods for linear systems (65F10)

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Uses Software

• ITPACK 2C

Cites Work

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• Consistent linearization for path following methods in nonlinear FE analysis
• Iterative Methods for Solving Bordered Systems with Applications to Continuation Methods
• Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems