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Fast solution of linear systems with polynomial coefficients over the ring of integers

✍ Scribed by Grazia Lotti


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
655 KB
Volume
13
Category
Article
ISSN
0196-6774

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Let K represent either the real or the complex numbers. Let P k , k=1, 2, ..., r be constant coefficient (with coefficients from K) polynomials in n variables and let r] be the set of all polynomial solutions (of degree M) to this system of partial differential equations. We solve the problem of fi

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✍ GΓΆtz Alefeld; Vladik Kreinovich; GΓΌnter Mayer πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 735 KB

A standard system of interval linear equations is defined by Ax = b, where A is an m x n coefficient matrix with (compact) intervals as entries, and b is an m-dimensional vector whose components are compact intervals. It is known that for systems of interval linear equations the solution set, i. e.,