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Gerd Bohlender 247 269 311 Institut für Angewandte Mathematik Universität Karlsruhe TH
Computer Demonstration Packages for Standard Problems of Numerical
Solving Algebraic Problems with High Accuracy
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addition algorithm applied arithmetic expression arithmetic operations automatic verification Bohlender bounds column complex interval complex numbers complex segment components computer arithmetic constants corresponding data types defined denote derivative diagonal diagonal matrix diagrams digits directed rounding eigenvalue equations evaluation example executed exponent EXPRESSION WITH MAXIMUM Figure fixed point floating-point numbers floating-point screen FORTRAN Hilbert matrix Horner scheme implementation inclusion integer iteration Kaucher Kulisch least significant bit lemma linear system long local memory mantissa mathematical MATRIX PASCAL maximum accuracy MC expression methods Miranker multiplication non-singular notation numerical analysis occur operands optimal parameters PASCAL-SC polynomial problem procedure programming language properties real numbers resp result type rounding control rounding errors rounding operator rows scalar product scientific computation semimorphism significant bit accuracy solution spaces standard functions subset summands symbols syntax theorem ultra-arithmetic University of Karlsruhe variables VCS MCS vectors and matrices verified zero