Titlebook: Structured Matrices and Polynomials; Unified Superfast Al Victor Y. Pan Textbook 2001 Birkhäuser Boston 2001 Interpolation.Matrix.algebra.a

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GORGE

ACME

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Unified Divide-and-Conquer Algorithm,lies over any field of constants. As a by-product, we obtain the rank of an input matrix and a basis for its null space. For a non-singular matrix, we also compute its inverse and determinant. The null space basis and the inverse are represented in compressed form, with their short displacement gene

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Newton Algebraic Iteration and Newton-Structured Algebraic Iteration,rst to the solution of some important problems of computations with polynomials and integers. Then it is applied to computations with general and structured matrices .: we compute the characteristic polynomial det(. — .), the minimum polynomial, the inverse ., and the Krylov matrix .(., ., .) (for a

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