An analysis of moving least squares (m.l.s.) methods for smoothing and interpolating scattered data is presented. In particular, theorems are proved concerning the smoothness of interpolants and the… Expand

Maxtrix Algebra. Determinants, Inverse Matrices, and Rank. Linear, Euclidean, and Unitary Spaces. Linear Transformations and Matrices. Linear Transformations in Unitary Spaces and Simple Matrices.… Expand

The purpose of this book is to reveal to the interested (but perhaps mathematically unsophisticated) user the foundations and major features of several basic methods for curve and surface fitting that are currently in use.Expand

Preface to the classics edition Preface to the first edition Introduction Part I. Fundamental Properties of Invariant Subspaces and Applications: 1. Invariant subspaces 2. Jordan form and invariant… Expand

This paper concerns regular matrix polynomials P(λ) when represented in various polynomial bases (other than the monomials 1, λ, λ 2 ,...). As in the monomial case, matrices of 'companion' form play… Expand