JOURNAL ARTICLE

Some comments on Shier's paper for inverting sparse matrices

John McNamee

Year: 1978 Journal:   Journal of Research of the National Bureau of Standards Vol: 83 (5)Pages: 485-485   Publisher: The National Institute of Standards and Technology

Abstract

A paper by Shier (J. Res NBS 80B) shows how to partition the graph of a matrix into a tree so as to minimize the number of operations required to invert the matrix. The present paper shows how to economically solve a sparse system of linear equations after the application of Shier's method to the coefficient matrix.

Keywords:
Mathematics Computer science

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Topics

Matrix Theory and Algorithms
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
graph theory and CDMA systems
Physical Sciences →  Engineering →  Electrical and Electronic Engineering
Graph Theory and Algorithms
Physical Sciences →  Computer Science →  Computer Vision and Pattern Recognition

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