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Solving Least Squares Problems.
Solving least squares problems
Since the lm function provides a lot of features it is rather complicated. So we are going to instead use the function lsfit as a model. It computes only the coefficient estimates and the residuals.…
Basic Linear Algebra Subprograms for Fortran Usage
A package of 38 low level subprograms for many of the basic operations of numerical linear algebra is presented, intended to be used with FORTRAN.
An extended set of FORTRAN basic linear algebra subprograms
This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions are targeted at matrix-vector operations that should provide for efficient and portable…
Analysis of Measurements Based on the Singular Value Decomposition
The problem of maintaining quality control of manufactured parts is considered. This involves matching points on the parts with corresponding points on a drawing. The difficulty in this process is…
Algorithm 656: an extended set of basic linear algebra subprograms: model implementation and test programs
This paper describes a model implementation and test software for the Level 2 Basic Linear Algebra Subprograms (Level 2 BLAS). Level 2 BLAS are targeted at matrix-vector operations with the aim of…
A Numerical Method for Solving Fredholm Integral Equations of the First Kind Using Singular Values
- R. Hanson
- 1 September 1971
The integral equation in question is approximated by simple numerical quadrature formulas plus collocation.Each row of the resulting matrix equation for the unknown function values is weighted by the…
An algorithm for linear least squares problems with equality and nonnegativity constraints
A new algorithm for solving a linear least squares problem with linear constraints, based on combining the equality constraints with differentially weighted least squares equations to form an augmented least squares system, which is equivalent to a penalty function method.
Gauss Quadrature Rules with B-Spline Weight Functions