Article ID Journal Published Year Pages File Type
9498398 Linear Algebra and its Applications 2005 15 Pages PDF
Abstract
We propose a new algorithm for the computation of a minimal polynomial basis of the left kernel of a given polynomial matrix F(s). The proposed method exploits the structure of the left null space of generalized Wolovich or Sylvester resultants to compute row polynomial vectors that form a minimal polynomial basis of left kernel of the given polynomial matrix. The entire procedure can be implemented using only orthogonal transformations of constant matrices and results to a minimal basis with orthonormal coefficients.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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