The linear least squares problem is a computational problem of primary importance in many
applications. Assume for example that one wants to fit a linear mathematical model to given …

The function of a component part can be profoundly affected by its surface topography.
There are many examples in nature of surfaces that have a well-controlled topography to …

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 …

Discretization of linear inverse problems generally gives rise to very ill-conditioned linear
systems of algebraic equations. Typically, the linear systems obtained have to be …

When describing active-set methods for linearly constrained optimization, it is often
convenient to treat all constraints in a uniform manner. However, in many problems the …

The number of the discrete samples for the dimensional measurement of machined surfaces
and thier coordinates is investigated. Counter to intuition, there need not be quadratically …

Large sparse least squares problems arise in many applications, including geodetic network
adjustments and finite element structural analysis. Although geodesists and engineers have …

This two-part paper describes the use of polynomial spline functions for purposes of
interpolation and approximation. The emphasis is on practical utility rather than detailed …

A new family of least-change secant methods for solving systems of nonlinear algebraic
equations is introduced. At each iteration of the methods of this family, the matrix B_k is …

A novel and efficient transform method for ECG data compression based on B-spline basis
functions is proposed. The algorithm allows these basis functions to adapt their shape to the …