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 …

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 …

Chordal graphs play a central role in techniques for exploiting sparsity in large semidefinite
optimization problems and in related convex optimization problems involving sparse positive …

Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects
of finite element methods for the approximate solution of incompressible flow problems. The …

This textbook presents an Introduction to the computer-based simulation of linear structures
by the Finite Element Method (FEM). It assembles the “converged” lecture notes of …

After SIAM's editors asked me to prepare a second edition of this monograph, it became
clear to me that the book needed to become more self-contained and that the inclusion of …

A new theory is presented for the matrix analysis of prestressed structural mechanisms
made from pin-jointed bars. The response of a prestressed mechanism to any external …

We survey optimization problems that involve the cardinality of variable vectors in
constraints or the objective function. We provide a unified viewpoint on the general problem …

We consider the problem of recovering the sparsest vector in a subspace $\mathcal
{S}\in\mathbb {R}^ p $ with $\text {dim}(\mathcal {S})= n $. This problem can be considered a …

The Null Space Problem (NSP) is the following: Given at*n matrix A with t<n, find a sparsest
basis for its null space (a null basis). We show that columns in a sparsest null basis …