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Condition : the geometry of numerical algorithms

저자: Peter Bürgisser; Felipe Cucker
출판사: Berlin : Springer, [2013] ©2013
시리즈: Grundlehren der mathematischen Wissenschaften, 349.
판/형식:   전자도서 : 문서 : 영어모든 판과 형식 보기
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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  더 읽기…
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장르/형태: Electronic books
추가적인 물리적 형식: Print version:
Bürgisser, Peter, 1962- author.
Condition
(OCoLC)855200598
자료 유형: 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: Peter Bürgisser; Felipe Cucker
ISBN: 9783642388965 3642388965
OCLC 번호: 858626298
설명: 1 online resource (xxxi, 554 pages) : illustrations.
내용: 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.
일련 제목: Grundlehren der mathematischen Wissenschaften, 349.
책임: Peter Bürgisser, Felipe Cucker.

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