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Titlebook: Error-Free Polynomial Matrix Computations; E. V. Krishnamurthy Book 1985 Springer-Verlag New York Inc. 1985 Bridging.Diophantine approxima

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Andrew P. Baltensperger,Casey L. Brown are polynomials over the field of rationals or over the ring of integers, in an indeterminate . or several indeterminates ., ., .,…. The inversion and manipulation of such matrices become involved due to the following reasons:
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is chapter and the following chapter are concerned with the application of .-adic technique as an artifice for performing symbolic computations in linear algebra. We introduce in this chapter, three topics that are of primary interest:
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l numbers and single variable rational functions). We now consider some of the computational problems related to matrices over the Euclidean domains (which are principal ideal rings) and general integral domains that are not Euclidean (and not principal ideal rings).
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,Polynomial Matrix—Evaluation, Interpolation, Inversion, are polynomials over the field of rationals or over the ring of integers, in an indeterminate . or several indeterminates ., ., .,…. The inversion and manipulation of such matrices become involved due to the following reasons:
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Polynomial Hensel Codes,is chapter and the following chapter are concerned with the application of .-adic technique as an artifice for performing symbolic computations in linear algebra. We introduce in this chapter, three topics that are of primary interest:
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,Matrix Computations—Euclidean and Non-Euclidean Domains,l numbers and single variable rational functions). We now consider some of the computational problems related to matrices over the Euclidean domains (which are principal ideal rings) and general integral domains that are not Euclidean (and not principal ideal rings).
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