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Publications Influence

AN ESTIMATE FOR THE CONDITION NUMBER OF A MATRIX

- A. K. Cline, C. Moler, G. Stewart, J. H. Wilkinson
- Mathematics
- 1 April 1979

It is important in practice when solving linear systems to have an economical method for estimating the condition number $\kappa (A)$ of the matrix of coefficients. An algorithm involving $O(n^2 )$… Expand

304 9

Scalar- and planar-valued curve fitting using splines under tension

- A. K. Cline
- Mathematics, Computer Science
- CACM
- 1 April 1974

TLDR

234 6

Generalizing the LINPACK Condition Estimator

- A. K. Cline, A. Conn, C. Loan
- Mathematics
- 1 June 1981

Two generalizations of the Cline-Moler-Stewart-Wilkinson "LINPACK" condition estimator are described. One generalization combines the LINPACK notion of "look-ahead" with a new feature called… Expand

37 4

A triangle-based $C^1$ interpolation method

- R. L. Renka, A. K. Cline
- Mathematics
- 1984

This paper discusses methods and software for C/sup 1/ interpolation at arbitrarily distributed data points in the plane. The primary results presented here are derivative-estimation procedures which… Expand

161 3- PDF

A Storage-efficient Method for Construction of a Thiessen Triangulation

- A. K. Cline, R. Renka
- Mathematics
- 1 October 1982

E01SAF Note: before using this routine, please read the Users' Note for your implementation to check the interpretation of bold italicised terms and other implementation-dependent details. 1 Purpose… Expand

99 1- PDF

A constrained two-dimensional triangulation and the solution of closest node problems in the presence of barriers

- A. K. Cline, R. Renka
- Mathematics
- 1 September 1990

A Delaunay triangulation of a set of nodes is a collection of triangles whose vertices are at the nodes and whose union fills the convex hull of the set of nodes. It also has several geometrical… Expand

31 1

A Descent Method for the Uniform Solution to Over-Determined Systems of Linear Equations

- A. K. Cline
- Mathematics
- 1976

Given a system of linear equations with more equations than unknowns, we seek to determine that vector of unknowns which minimizes the norm of the residual of the system in the uniform sense. A… Expand

14 1

An Elimination Method for the Solution of Linear Least Squares Problems

- A. K. Cline
- Mathematics
- 1 April 1973

An elimination method for solving the linear least squares problem is presented which can be considered a generalization of the Gaussian elimination method for square, linear systems. Operations… Expand

15 1

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