Development of some ideas of D. K. Faddeev and V. N. Faddeeva in computational algebra (Q1571310)

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scientific article; zbMATH DE number 1473023
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Development of some ideas of D. K. Faddeev and V. N. Faddeeva in computational algebra
scientific article; zbMATH DE number 1473023

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    Development of some ideas of D. K. Faddeev and V. N. Faddeeva in computational algebra (English)
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    25 October 2001
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    The authors are developing the ideas put forward by D. K. Faddeev and V. N. Faddeeva in the following three directions: (1) extension of the method of rank factorization of a constant matrix that is a polynomial of a set of parameters; (2) application of Faddeev's trace method in the expansion of the determinant of a functional matrix, calculation of its eigenvectors, and inversion of integer matrices; and (3) estimation of the inherent error for the solution to a linear-algebraic system.
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    computational algebra
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    error estimate
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    method of rank factorization
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    determinant
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    eigenvectors
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    trace method
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    functional matrix
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    inversion of integer matrices
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