Obtaining the eigenvalues and eigenvectors of large matrices is a key problem in electronic
structure theory and many other areas of computational science. The computational effort …

This monograph is about a class of optimization algorithms called proximal algorithms. Much
like Newton's method is a standard tool for solving unconstrained smooth optimization …

This book is a guide to numerical methods for solving fluid dynamics problems. The most
widely used discretization and solution methods, which are also found in most commercial …

Which of the following statements is true?• Users want “black box” software that they can use
with complete confidence for general problem classes without having to understand the fine …

This textbook covers both direct and iterative methods for the solution of linear systems, least
squares problems, eigenproblems, and the singular value decomposition. Earlier versions …

In this review paper, we consider some important developments and trends in algorithm
design for the solution of linear systems concentrating on aspects that involve the …

This book presents a broad overview of numerical methods for students and professionals in
computationally oriented disciplines who need to solve mathematical problems. It differs …

Given an m*n matrix M with m\geqslantn, it is shown that there exists a permutation Π and an
integer k such that the QR factorization MΠ=Q\left() reveals the numerical rank of M: the k*k …

Community structure is one of the most important properties of complex networks and is a
foundational concept in exploring and understanding networks. In real world, topology …

The purpose of this book is to unify and document in one place many of the techniques and
much of the current understanding about solving systems of linear equations on vector and …