Condition: The Geometry of Numerical Algorithms: 349 by Peter Bürgisser,Felipe Cucker PDF

By Peter Bürgisser,Felipe Cucker

ISBN-10: 3642388957

ISBN-13: 9783642388958

ISBN-10: 3642440126

ISBN-13: 9783642440120

This publication gathers threads that experience developed throughout assorted mathematical disciplines into seamless narrative. It bargains with as a chief element within the knowing of the functionality ---regarding either balance and complexity--- of numerical algorithms. whereas the position of used to be formed within the final half-century, up to now there has now not been a monograph treating this topic in a uniform and systematic means. The booklet places specific emphasis at the probabilistic research of numerical algorithms through the research of the corresponding . The exposition's point raises alongside the publication, beginning within the context of linear algebra at an undergraduate point and achieving in its 3rd half the new advancements and partial suggestions for Smale's 17th challenge which are defined inside a graduate direction. Its center half includes a condition-based direction on linear programming that fills a niche among the present ordinary expositions of the topic according to the simplex technique and people targeting convex programming.

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Condition: The Geometry of Numerical Algorithms: 349 (Grundlehren der mathematischen Wissenschaften) by Peter Bürgisser,Felipe Cucker


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