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A fast algorithm for solving linear systems of the Pascal type - MaRDI portal

A fast algorithm for solving linear systems of the Pascal type (Q2369171)

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A fast algorithm for solving linear systems of the Pascal type
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    A fast algorithm for solving linear systems of the Pascal type (English)
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    28 April 2006
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    \textit{M. E. A. El-Mikkawy} [ibid. 136, 195--202 (2003; Zbl 1023.65019)] has given a fast algorithm for solving linear systems with a Pascal type coefficient matrix. In this paper a new faster algorithm is presented. An application in solving a nonhomogeneous differential equation with constant coefficients is given. In the Appendix, a Matlab program is given with \(O(n \log n)\) complexity.
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    linear systems
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    fast algorithm
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    Pascal matrix
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    Cholesky factorization
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    Toeplitz matrix
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    Matlab program
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    complexity
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