A Structured Rank - Revealing Method for Sylvester Matrix 1 )
نویسندگان
چکیده
We propose a displacement structure based rank-revealing algorithm for Sylvester matrix, then apply it to compute approximate greatest common division of two univariate polynomials with floating-point coefficients. This structured rank-revealing method is based on a stabilized version of the generalized Schur algorithm [8], and is a fast rank-revealing method in the sense that, all computations can be done in O((n + m)) operations, where n + m is the size of the Sylvester matrix.
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