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
Comments (0)