Diakoptics as a general approach in engineering

DOI10.1007/BF00127693zbMath0616.65036OpenAlexW2045283489MaRDI QIDQ1821502

P. W. Aitchison

Publication date: 1987

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00127693

zbMATH Keywords

least squaresdiakopticsmethod of tearing

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• symrcm

Cites Work

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• Partitioning, tearing and modification of sparse linear systems
• Diakoptics or tearing—a mathematical approach
• Sparsity considerations in network solution by tearing
• A parallel diakoptics method of solving complex problems on distributed computational systems
• On Deriving the Inverse of a Sum of Matrices
• Time domain approximations in the solution of fields by time domain diakoptics
• An Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix
• Solution of large-scale networks by tearing
• Diakoptic and generalized hybrid analysis
• A latent macromodular approach to large-scale sparse networks
• An Implementation of Tarjan's Algorithm for the Block Triangularization of a Matrix
• Partitioning and Tearing Systems of Equations
• The application of diakoptics and the escalator method to the solution of very large eigenvalue problems

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