A Hierarchical Representation of the Inverse for Sparse Matrices

DOI10.1137/0605007zbMath0536.65021OpenAlexW2011391072MaRDI QIDQ3321333

Eugeniusz Toczyłowski

Publication date: 1984

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0605007

zbMATH Keywords

Gaussian eliminationfill-inbordered block lower-triangular formhierarchical form of the inverse

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

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• Manifestations of the Schur complement
• The Elimination form of the Inverse and its Application to Linear Programming
• A bump triangular dynamic factorization algorithm for the simplex method
• Hierarchical partition—a new optimal pivoting algorithm
• Nested Dissection of a Regular Finite Element Mesh
• On an Approach to Techniques for the Analysis of the Structure of Large Systems of Equations
• Sparse matrices

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