عنوان

Conditio

شابک

9783642388965

کد کشور

IR

شماره

EN-52314

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Conditio

نام عام مواد

[Book]

ساير اطلاعات عنواني

:The Geometry of Numerical Algorithms

نام نخستين پديدآور

/ by Peter B?╝rgisser, Felipe Cucker

محل نشرو پخش و غیره

Berlin, Heidelberg

نام ناشر، پخش کننده و غيره

: Springer Berlin Heidelberg :Imprint: Springer,

تاریخ نشرو بخش و غیره

, 2013.

نام خاص و کميت اثر

XXXI, 554 p. 32 illus., online resource.

عنوان فروست

(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,0072-7830

مشخصه جلد

; 349)

متن يادداشت

Electronic

متن يادداشت

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 way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a condition-based course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming.

متن يادداشت

Preface -- Overture: On the Condition of Numerical Problems and the Numbers that Measure It -- I Condition in Linear Algebra (Adagio): 1 Normwise Condition of Linear Equation Solving -- 2 Probabilistic Analysis -- 3 Error Analysis of Triangular Linear Systems -- 4 Probabilistic Analysis of Rectangular Matrices -- 5 Condition Numbers and Iterative Algorithms -- Intermezzo I: Condition of Structured Data -- II Condition in Linear Optimization (Andante): 6 A Condition Number for Polyhedral Conic Systems -- 7 The Ellipsoid Method -- 8 Linear Programs and their Solution Sets -- 9 Interior-point Methods -- 10 The Linear Programming Feasibility Problem -- 11 Condition and Linear Programming Optimization -- 12 Average Analysis of the RCC Condition Number -- 13 Probabilistic Analyses of the GCC Condition Number -- Intermezzo II: The Condition of the Condition -- III Condition in Polynomial Equation Solving (Allegro con brio): 14 A Geometric Framework for Condition Numbers -- 15 Homotopy Continuation and Newton's Method -- 16 Homogeneous Polynomial Systems -- 17 Smale's 17th Problem: I -- 18 Smale's 17th Problem: II -- 19 Real Polynomial Systems -- 20 Probabilistic Analysis of Conic Condition Numbers: I. The Complex Case 4 -- 21 Probabilistic Analysis of Conic Condition Numbers: II. The Real Case -- Appendix .?╗╣

عنوان

Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,0072-7830

شماره جلد

349

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Computer science

موضوع مستند نشده

Computer science, Mathematics

موضوع مستند نشده

Algorithms

موضوع مستند نشده

Mathematical optimization

موضوع مستند نشده

Distribution (Probability theory)

موضوع مستند نشده

Electronic books

شماره رده

مستند نام اشخاص تاييد نشده

B?╝rgisser, Peter.

مستند نام اشخاص تاييد نشده

Cucker, Felipe

مستند نام اشخاص تاييد نشده

SpringerLink (Online service)

کشور

ایران

نام ميزبان

9783642388958.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9783642388958.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y