Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Saddle-point problems and their iter...
~
Rozloznik, Miroslav.
Saddle-point problems and their iterative solution
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Saddle-point problems and their iterative solution/ by Miroslav Rozloznik.
Author:
Rozloznik, Miroslav.
Published:
Cham :Springer International Publishing : : 2018.,
Description:
xiv, 136 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Method of steepest descent (Numerical analysis) -
Online resource:
https://doi.org/10.1007/978-3-030-01431-5
ISBN:
9783030014315
Saddle-point problems and their iterative solution
Rozloznik, Miroslav.
Saddle-point problems and their iterative solution
[electronic resource] /by Miroslav Rozloznik. - Cham :Springer International Publishing :2018. - xiv, 136 p. :ill. (some col.), digital ;24 cm. - Necas center series,2523-3343. - Necas center series..
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.
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.
ISBN: 9783030014315
Standard No.: 10.1007/978-3-030-01431-5doiSubjects--Topical Terms:
1211313
Method of steepest descent (Numerical analysis)
LC Class. No.: QA297 / .R695 2018
Dewey Class. No.: 518
Saddle-point problems and their iterative solution
LDR
:02856nam a2200337 a 4500
001
930238
003
DE-He213
005
20190503101215.0
006
m d
007
cr nn 008maaau
008
190627s2018 gw s 0 eng d
020
$a
9783030014315
$q
(electronic bk.)
020
$a
9783030014308
$q
(paper)
024
7
$a
10.1007/978-3-030-01431-5
$2
doi
035
$a
978-3-030-01431-5
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA297
$b
.R695 2018
072
7
$a
PBKS
$2
bicssc
072
7
$a
MAT021000
$2
bisacsh
072
7
$a
PBKS
$2
thema
082
0 4
$a
518
$2
23
090
$a
QA297
$b
.R893 2018
100
1
$a
Rozloznik, Miroslav.
$3
1211312
245
1 0
$a
Saddle-point problems and their iterative solution
$h
[electronic resource] /
$c
by Miroslav Rozloznik.
260
$a
Cham :
$c
2018.
$b
Springer International Publishing :
$b
Imprint: Birkhauser,
300
$a
xiv, 136 p. :
$b
ill. (some col.), digital ;
$c
24 cm.
490
1
$a
Necas center series,
$x
2523-3343
505
0
$a
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.
520
$a
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.
650
0
$a
Method of steepest descent (Numerical analysis)
$3
1211313
650
1 4
$a
Numerical Analysis.
$3
671433
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Necas center series.
$3
1209609
856
4 0
$u
https://doi.org/10.1007/978-3-030-01431-5
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login