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2010
IEEE

Solving Linear Systems through Nested Dissection

8 years 5 months ago
Solving Linear Systems through Nested Dissection
Abstract--The generalized nested dissection method, developed by Lipton, Rose, and Tarjan, is a seminal method for solving a linear system Ax = b where A is a symmetric positive definite matrix. The method runs extremely fast whenever A is a well-separable matrix (such as matrices whose underlying support is planar or avoids a fixed minor). In this work we extend the nested dissection method to apply to any nonsingular well-separable matrix over any field. The running times we obtain essentially match those of the nested dissection method. Keywords-Gaussian elimination, linear system, nested dissection.
Noga Alon, Raphael Yuster
Added 11 Feb 2011
Updated 11 Feb 2011
Type Journal
Year 2010
Where FOCS
Authors Noga Alon, Raphael Yuster
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