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Condition : the geometry of numerical algorithms

著者: Peter Bürgisser; Felipe Cucker
出版商: Berlin : Springer, [2013] ©2013
丛书: Grundlehren der mathematischen Wissenschaften, 349.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability and complexity--- of numerical algorithms. While the role of condition was shaped in the last half-century, so far there has not been a monograph treating this subject in a uniform and systematic  再读一些...
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类型/形式: Electronic books
附加的形体格式: Print version:
Bürgisser, Peter, 1962- author.
Condition
(OCoLC)855200598
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Peter Bürgisser; Felipe Cucker
ISBN: 9783642388965 3642388965
OCLC号码: 858626298
描述: 1 online resource (xxxi, 554 pages) : illustrations.
内容: Condition in Linear Algebra (). Normwise Condition of Linear Equation Solving --
Probabilistic Analysis --
Error Analysis of Triangular Linear Systems --
Probabilistic Analysis of Rectangular Matrices --
Condition Numbers and Iterative Algorithms --
Condition in Linear Optimization (). A Condition Number for Polyhedral Conic Systems --
The Ellipsoid Method --
Linear Programs and Their Solution Sets --
Interior-Point Methods --
The Linear Programming Feasibility Problem --
Condition and Linear Programming Optimization --
Average Analysis of the RCC Condition Number --
Probabilistic Analyses of the GCC Condition Number --
Condition in Polynomial Equation Solving (). A Geometric Framework for Condition Numbers --
Homotopy Continuation and Newton's Method --
Homogeneous Polynomial Systems --
Smale's 17th Problem: I --
Smale's 17th Problem: II --
Real Polynomial Systems --
Probabilistic Analysis of Conic Condition Numbers: I. The Complex Case --
Probabilistic Analysis of Conic Condition Numbers: II. The Real Case.
丛书名: Grundlehren der mathematischen Wissenschaften, 349.
责任: Peter Bürgisser, Felipe Cucker.

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Condition  再读一些...

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"The book under review is divided into three parts, 'which approximately correspond to themes of conditioning in linear algebra, linear programming, and polynomial equation solving'. ... Given its 再读一些...

 
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