skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Fast parallel matrix and gcd computations

Journal Article · · Inf. Control; (United States)

Parallel algorithms to compute the determinant and characteristic polynomial of matrices and the gcd of polynomials are presented. The rank of matrices and solutions of arbitrary systems of linear equations are computed by parallel Las Vegas algorithms. All algorithms work over arbitrary fields. They run in parallel time o(log/sup 2/ n) (where n is the number of inputs) and use a polynomial number of processors. 21 references.

Research Organization:
Univ. of Toronto, Canada
OSTI ID:
5436319
Journal Information:
Inf. Control; (United States), Vol. 3
Country of Publication:
United States
Language:
English