عنوان

Saddle-point problems and their iterative solution /

(Number (ISBN

3030014312

(Number (ISBN

9783030014315

Erroneous ISBN

9783030014308

Title Proper

Saddle-point problems and their iterative solution /

General Material Designation

[Book]

First Statement of Responsibility

Miroslav Rozložník.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (xiv, 136 pages) :

Other Physical Details

illustrations (some color)

Series Title

Nečas Center series,

ISSN of Series

2523-3343

Text of Note

Includes bibliographical references and index.

Text of Note

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.

0

Text of Note

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.--

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030014315

Method of steepest descent (Numerical analysis)

Mathematics-- Number Systems.

Method of steepest descent (Numerical analysis)

Numerical analysis.

Number

Edition

Class number

Rozložník, Miroslav

Date of Transaction

20200823073001.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y