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1. Pdf J.h.wilkinson C.reinsch Handbook For Automatic Computation Pdf Software
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Algorithms for triangular decomposition of block Hankel and Toeplitz matrices with application to factoring positive matrix polynomials

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Author:J. Rissanen
Journal:Math. Comp. 27 (1973), 147-154
MSC:Primary 65F30
DOI:https://doi.org/10.1090/S0025-5718-1973-0329235-5
MathSciNet review:0329235
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Abstract: Algorithms are given for calculating the block triangular factors and and the block diagonal factor D in the factorizations and of block Hankel and Toeplitz matrices R. The algorithms require operations when R is an -matrix of -blocks.

As an application, an iterative method is described for factoring -matrix valued positive polynomials , as , where is outer.

Wilkinson Prize in Numerical Analysis and Scientific Computing, established in 1982, and J. Wilkinson Prize for Numerical Software, established in 1991, are named in his honour. Wilkinson married Heather Ware in 1945. Algebra series of the Handbook for Automatic Computation is continued. Algorithms are published in ALGOL 60 reference language as approved by the IFIP. Contributions in this series should be styled after the most recently published ones. The work of this author was in part supported by the National Science Founda. Smolov, Digital Computer Realization of Elementary Functions in Russian, Leningr. Univ., Leningrad (1975).

Pdf J.h.wilkinson C.reinsch Handbook For Automatic Computation Pdf Software

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• [6]Handbook for automatic computation. Vol. II, Springer-Verlag, NewYork-Heidelberg, 1971. Linear algebra; Compiled by J. H. Wilkinson and C.Reinsch; Die Grundlehren der Mathematischen Wissenschaften, Band 186. MR0461856
• [7]J.Rissanen and L.Barbosa, Properties of infinite covariance matrices and stabilityof optimum predictors, Information Sci. 1(1968/1969), 221–236. MR0243711, https://doi.org/10.1016/s0020-0255(69)80009-5

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Additional Information
DOI:https://doi.org/10.1090/S0025-5718-1973-0329235-5
Keywords:Hankel and Toeplitz matrices,triangular decomposition of matrices
Article copyright:© Copyright 1973American Mathematical Society

Pdf J.h.wilkinson C.reinsch Handbook For Automatic Computation Pdf Free

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