[ספר][B] Domain decomposition methods-algorithms and theory

A Toselli, O Widlund - 2006‏ - books.google.com
This book offers a comprehensive presentation of some of the most successful and popular
domain decomposition preconditioners for finite and spectral element approximations of …

Numerical solution of saddle point problems

M Benzi, GH Golub, J Liesen - Acta numerica, 2005‏ - cambridge.org
Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …

[ספר][B] Domain decomposition methods for partial differential equations

A Quarteroni, A Valli - 1999‏ - academic.oup.com
Abstract Domain decomposition methods are designed to allow the effective numerical
solution of partial differential equations on parallel computer architectures. They comprise a …

[ספר][B] Numerical optimization: theoretical and practical aspects

JF Bonnans, JC Gilbert, C Lemaréchal… - 2006‏ - books.google.com
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of
optimization, and describes numerical algorithms in a tutorial way. It covers fundamental …

[PDF][PDF] Subgradient methods

S Boyd, L **ao, A Mutapcic - lecture notes of EE392o, Stanford …, 2003‏ - see.stanford.edu
Subgradient Methods Page 1 Subgradient Methods Stephen Boyd and Almir Mutapcic Notes
for EE364b, Stanford University, Winter 2006-07 April 13, 2008 Contents 1 Introduction 2 2 …

Split Bregman methods and frame based image restoration

JF Cai, S Osher, Z Shen - Multiscale modeling & simulation, 2010‏ - SIAM
Split Bregman methods introduced in [T. Goldstein and S. Osher, SIAM J. Imaging Sci., 2
(2009), pp. 323–343] have been demonstrated to be efficient tools for solving total variation …

Linear convergence and metric selection for Douglas-Rachford splitting and ADMM

P Giselsson, S Boyd - IEEE Transactions on Automatic Control, 2016‏ - ieeexplore.ieee.org
Recently, several convergence rate results for Douglas-Rachford splitting and the
alternating direction method of multipliers (ADMM) have been presented in the literature. In …

[ספר][B] Scientific computation

P Joly, A Quarteroni, J Rappaz - 2005‏ - Springer
Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems

ZZ Bai, GH Golub, JY Pan - Numerische Mathematik, 2004‏ - Springer
For the positive semidefinite system of linear equations of a block two-by-two structure, by
making use of the Hermitian/skew-Hermitian splitting iteration technique we establish a …

A unified primal-dual algorithm framework based on Bregman iteration

X Zhang, M Burger, S Osher - Journal of Scientific Computing, 2011‏ - Springer
In this paper, we propose a unified primal-dual algorithm framework for two classes of
problems that arise from various signal and image processing applications. We also show …