Computing a Sparse Basis for the Null Space
- 1 July 1987
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Algebraic Discrete Methods
- Vol. 8 (3) , 446-459
- https://doi.org/10.1137/0608037
Abstract
We present algorithms for computing a sparse basis for the null space of a sparse underdetermined matrix. We describe several possible computational strategies, both combinatorial and noncombinatorial in nature, and we compare their effectiveness for several test problems.Keywords
This publication has 7 references indexed in Scilit:
- The Null Space Problem I. ComplexitySIAM Journal on Algebraic Discrete Methods, 1986
- An algorithm to compute a sparse basis of the null spaceNumerische Mathematik, 1985
- Sparse Orthogonal Schemes for Structural Optimization Using the Force MethodSIAM Journal on Scientific and Statistical Computing, 1984
- Large Sparse Numerical OptimizationLecture Notes in Computer Science, 1984
- On computational procedures for the force methodInternational Journal for Numerical Methods in Engineering, 1982
- Some Extensions of an Algorithm for Sparse Linear Least Squares ProblemsSIAM Journal on Scientific and Statistical Computing, 1982
- On Algorithms for Obtaining a Maximum TransversalACM Transactions on Mathematical Software, 1981