1. The Inverse of a Nonsingular Matrix It is well known that every nonsingular matrix A has a
unique inverse,? 1 denoted by A, such that? 1? 1 AA= AA= I,(1) where I is the identity matrix …

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

The intended audience of this book (and the combined two volumes especially) is quite
broad. It can be used in a variety of computer graphics courses or by those who are trying to …

The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

Due to its severe damages and threats to the security of the Internet and computing devices,
malware detection has caught the attention of both anti-malware industry and researchers …

FETI and BDD are two widely used substructuring methods for the solution of large sparse
systems of linear algebraic equations arising from discretization of elliptic boundary value …

This paper is a survey of the basics of the theory of two projections. It contains in particular
the theorem by Halmos on two orthogonal projections and Roch, Silbermann, Gohberg, and …

The projectors are considered as simple but important type of matrices and operators. Their
basic theory can be found in many books, among which Hal mas [177],[178] are of particular …

We introduce new methods connecting numerics and symbolic computations, ie, both the
direct and iterative methods as well as the symbolic method for computing the generalized …

Given an oblique projector P on a Hilbert space, ie, an operator satisfying P 2= P, which is
neither null nor the identity, it holds that|| P||=|| I–P||. This useful equality, while not widely …