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math.NA2018
Fast Algorithms for Computing Eigenvectors of Matrices via Pseudo Annihilating Polynomials
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
An efficient algorithm for computing eigenvectors of a matrix of integers by exact computation is proposed. The components of calculated eigenvectors are expressed as polynomials i…
math.AC2018★ 1 cited
Fast Algorithm for Calculating the Minimal Annihilating Polynomials of Matrices via Pseudo Annihilating Polynomials
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
Minimal annihilating polynomials are very useful in a wide variety of algorithms in exact linear algebra. A new efficient method is proposed for calculating the minimal annihilatin…