Saddle-point problems and their iterative solution /
نام عام مواد
[Book]
نام نخستين پديدآور
Miroslav Rozložník.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland :
نام ناشر، پخش کننده و غيره
Birkhäuser,
تاریخ نشرو بخش و غیره
2018.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xiv, 136 pages) :
ساير جزييات
illustrations (some color)
فروست
عنوان فروست
Nečas Center series,
شاپا ي ISSN فروست
2523-3343
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
Introductory remarks. Formulation of saddle-point problem -- Applications leading to saddle-point problems. Augmented systems in least squares problems. Saddle point problems from the discretization of partial differential equations with constraints. Kuhn-Karush-Tucker (KKT) systems in interior-point methods -- Properties of saddle point matrices. The inverse of a saddle-point matrix. Spectral properties of saddle-point matrices -- Solution approaches for saddle-point problems. Schur complement reduction. Null-space projection method -- Direct methods for symmetric indefinite systems. Direct solution of saddle-point problems -- AIterative solution of saddle-point problems. Stationary iteration methods. Krylov subspace methods. Preconditioned Krylov subspace methods -- Saddle-point preconditioners. Block diagonal and triangular preconditioners. Indefinite preconditioning -- Implementation and numerical behavior of saddle-point solvers -- Case study: Polluted undeground water flow modelling in porous media.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book provides essential lecture notes on solving large linear saddle-point systems, which arise in a wide range of applications and often pose computational challenges in science and engineering. The focus is on discussing the particular properties of such linear systems, and a large selection of algebraic methods for solving them, with an emphasis on iterative methods and preconditioning. The theoretical results presented here are complemented by a case study on potential fluid flow problem in a real world-application. This book is mainly intended for students of applied mathematics and scientific computing, but also of interest for researchers and engineers working on various applications. It is assumed that the reader has completed a basic course on linear algebra and numerical mathematics.--
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9783030014315
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Method of steepest descent (Numerical analysis)
موضوع مستند نشده
Mathematics-- Number Systems.
موضوع مستند نشده
Method of steepest descent (Numerical analysis)
موضوع مستند نشده
Numerical analysis.
رده بندی ديویی
شماره
518
ويراست
23
رده بندی کنگره
شماره رده
QA297
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )