This paper surveys the state of the art in sparse matrix research in January 1976. Much of
the survey deals with the solution of sparse simultaneous linear equations, including the …

2. BACKGROUND A number of studies have suggested that 50–60% of the effort involved in
producing large software systems is devoted to quality assessment activities such as testing …

revolutionary development which has given mankind the ability to state general goals and to
lay out a path of detailed decisions to take in order to “best” achieve its goals when faced …

The fitting of a curve or surface through a set of observational data is a very frequent
problem in different disciplines (mathematics, engineering, medicine,...) with many …

Linear programming represents one of the major applications of mathematics to business,
industry, and economics. It provides a methodology for optimizing an output given that is a …

Computer program input generally has some structure; in fact, every computer program that
does input can be thought of as defining an``input language''which it accepts. An input …

Since 1985, when this book was first published, interest in practical Lanczos algorithms for
computing eigenvalues of large scale problems has soared. The developments since 1985 …

The proliferation of large software systems written in high level programming languages
insures the utility of analysis programs which examine interprocedural communications …

This report forms the users guide for Version 4.0 of NPSOL, a set of Fortran subroutines
designed to minimize a smooth function subject to constraints, which may include simple …

The most well-known and widely used algorithm for computing the Singular Value
Decomposition (SVD) A---U~ VT of an mxn rectangular matrix A is the Golub-Reinsch …