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New renumbering algorithm for minimizing the bandwidth of sparse matrices

✍ Scribed by Takeo Taniguchi; Naruhito Shiraishi


Publisher
Elsevier Science
Year
1980
Weight
633 KB
Volume
2
Category
Article
ISSN
0141-1195

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A new algorithm is presented for the computation of canonical forms of matrices over fields. These are the Primary Rational, Rational, and Jordan canonical forms. The algorithm works by obtaining a decomposition of the vector space acted on by the given matrix into primary cyclic spaces (spaces whos