[图书][B] Iterative methods for linear and nonlinear equations

CT Kelley - 1995 - SIAM
This book on iterative methods for linear and nonlinear equations can be used as a tutorial
and a reference by anyone who needs to solve nonlinear systems of equations or large …

[图书][B] Iterative regularization methods for nonlinear ill-posed problems

B Kaltenbacher, A Neubauer, O Scherzer - 2008 - degruyter.com
Bibliography Page 1 Bibliography [1] V. Akcelik, G. Biros, A. Draganescu, J. Hill, O. Ghattas,
and B. Van Bloemen Waanders, Dynamic data-driven inversion for terascale simulations …

[图书][B] Lagrange multiplier approach to variational problems and applications

K Ito, K Kunisch - 2008 - SIAM
The objective of this monograph is the treatment of a general class of nonlinear variational
problems of the form min y∈ Y, u∈ U ƒ (y, u) subject to e (y, u)= 0, g (y, u)∈ K, 0.0. 1 where …

[图书][B] Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces

M Ulbrich - 2011 - SIAM
This book provides a comprehensive treatment of a very successful class of methods for
solving optimization problems with PDE and inequality constraints as well as variational …

[图书][B] Computational optimization of systems governed by partial differential equations

A Borzì, V Schulz - 2011 - SIAM
This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …

Optimization methods on Riemannian manifolds and their application to shape space

W Ring, B Wirth - SIAM Journal on Optimization, 2012 - SIAM
We extend the scope of analysis for linesearch optimization algorithms on (possibly infinite-
dimensional) Riemannian manifolds to the convergence analysis of the BFGS quasi-Newton …

SuperMann: a superlinearly convergent algorithm for finding fixed points of nonexpansive operators

A Themelis, P Patrinos - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
Operator splitting techniques have recently gained popularity in convex optimization
problems arising in various control fields. Being fixed-point iterations of nonexpansive (NE) …

[图书][B] Formulation and numerical solution of quantum control problems

A Borzì, G Ciaramella, M Sprengel - 2017 - SIAM
The aim of this book is to provide an introduction to some representative nonrelativistic
quantum control problems and to their theoretical analysis and solution by modern …

[PDF][PDF] Nonsmooth Newton-like methods for variational inequalities and constrained optimization problems in function spaces

M Ulbrich - Habilitation, Technical University of Munich, Munich, 2002 - researchgate.net
A central theme of applied mathematics is the design of accurate mathematical models for a
variety of technical, financial, medical, and many other applications, and the development of …

Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations with staggered ionic models

NA Barnafi, NMM Huynh, LF Pavarino… - Computers & Mathematics …, 2024 - Elsevier
In this work, we study the convergence and performance of nonlinear solvers for the
Bidomain equations after decoupling the ordinary and partial differential equations of the …