New Deterministic Parallel Algorithms for the Characteristic Polynomial of a Matrix over Abstract Fields
نویسنده
چکیده
We study deterministic parallel computation of the characteristic polynomial of an nn matrix A over an arbitrary eld F of a positive characteristic c n. Our new NC algorithms run in polylogarithmic time and simultaneously enable us to decrease the known upper bounds on processor complexity by order of magnitude except for matrices A forming an algebraic variety of codimension d c ? 1 in the space of n n matrices. Our techniques of the algorithm design may be of independent interest.allel complexity of computations in nite elds.
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تاریخ انتشار 1999