Titlebook: Computer Mathematics; 8th Asian Symposium, Deepak Kapur Conference proceedings 2008 The Editor(s) (if applicable) and The Author(s), under

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978-3-540-87826-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE

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,Chemisch-physikalische Zustandsänderungen,ion to evaluating transcendental functions of complex sets are discussed. Specifically, the Minkowski value of the exponential function over a disk in the complex plane is considered, as the limit of partial–sum sets defined by the monomial or Horner evaluation schemes.

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Thermodynamik chemischer Reaktionen,s parameters) that is a lower bound on the value of the polynomial, or in other words a lower bound on the minimum of the polynomial. The main advantage of accepting a bound on the minimum, in contrast to an expression for the exact minimum, is that the algebraic form of the result can be kept relat

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,Chemisch-physikalische Zustandsänderungen,such that . has a multiple zero in . and ., the infinity norm of the vector of coefficients of ., is minimal. First, we prove that if a nearest polynomial . exists, there is a nearest polynomial . such that the absolute value of every coefficient of . is . with at most one exceptional coefficient. U

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https://doi.org/10.1007/978-3-642-99057-1mi-algebraic sets defined by a single inequality..A previous algorithm allows us to compute the set of generalized critical values of .. This one is based on the computation of the critical locus of a projection on a plane .. This plane . must be chosen such that some global properness properties of

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https://doi.org/10.1007/978-3-642-99057-1ogeneous polynomials. In this paper, we investigate the structure of the cone formed by all symmetric homogeneous polynomials whose positive semi-definiteness can proven by difference substitution method.

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