ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Determinant: Old algorithms, new insights (Extended Abstract)

Mahajan, M and Vinay, V (1998) Determinant: Old algorithms, new insights (Extended Abstract). In: 6th Scandinavian Workshop on Algorithm Theory (SWAT 98), JUL 08-10, 1998, Stockholm, Sweden.

Full text not available from this repository.
Official URL: http://dl.acm.org/citation.cfm?id=672432

Abstract

In this paper we approach the problem of computing the characteristic polynomial of a matrix from the combinatorial viewpoint. We present several combinatorial characterizations of the coefficients of the characteristic polynomial, in terms of walks and closed walks of different kinds in the underlying graph. We develop algorithms based on these characterizations, and show that they tally with well-known algorithms arrived at independently from considerations in linear algebra.

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to Springer-Verlag Berlin.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation (Formerly, School of Automation)
Date Deposited: 16 Mar 2012 08:38
Last Modified: 16 Mar 2012 08:38
URI: http://eprints.iisc.ernet.in/id/eprint/43913

Actions (login required)

View Item View Item