Journal ArticleDOI
Computer Solution of Linear Algebraic Systems. By G. Forsythe and C. B. Moler. Pp. xi, 148. 1967. (Prentice-Hall.)
Reads0
Chats0
About:
This article is published in The Mathematical Gazette.The article was published on 1969-05-01. It has received 489 citations till now.read more
Citations
More filters
Journal ArticleDOI
Singular value decomposition and least squares solutions
Gene H. Golub,C. Reinsch +1 more
TL;DR: The decomposition of A is called the singular value decomposition (SVD) and the diagonal elements of ∑ are the non-negative square roots of the eigenvalues of A T A; they are called singular values.
Journal ArticleDOI
Hyperquad simulation and speciation (HySS): a utility program for the investigation of equilibria involving soluble and partially soluble species
TL;DR: Hyperquad simulation and speciation (HySS) as mentioned in this paper is a computer program written for the Windows operating system on personal computers which provides simulating titration curves and a system for providing speciation diagrams.
Journal ArticleDOI
What every computer scientist should know about floating-point arithmetic
TL;DR: This paper presents a tutorial on the aspects of floating-point that have a direct impact on designers of computer systems, and concludes with examples of how computer system builders can better support floating point.
Journal ArticleDOI
Generalization of backpropagation with application to a recurrent gas market model
TL;DR: This paper will derive a generalization of backpropagation to recurrent systems (which input their own output), such as hybrids of perceptron-style networks and Grossberg/Hopfield networks, and does not require the storage of intermediate iterations to deal with continuous recurrence.
Journal ArticleDOI
An algorithm for reducing the bandwidth and profile of a sparse matrix
TL;DR: Extensive testing on finite element matrices indicates that the algorithm typically produces bandwidth and profile which are comparable to those of the commonly-used reverse Cuthill–McKee algorithm, yet requires significantly less computation time.
References
More filters
Journal ArticleDOI
An Iterative Algorithm for Computing the Best Estimate of an Orthogonal Matrix
Å. Björck,C. Bowie +1 more
TL;DR: A family of iterative methods of order of convergence is given for computing the closest unitary matrix, measured in Euclidean norm, to a given rectangular matrix A, to be the unitary factor in the polar decomposition of A.
Journal ArticleDOI
On Fourier-Toeplitz methods for separable elliptic problems
TL;DR: In this article, a Fourier-Toeplitz method is developed as an alternative to the well-known methods of Hockney and Buneman, and results of numerical experiments are described.
Journal ArticleDOI
Backward error analysis for totally positive linear systems
Carl de Boor,Allan Pinkus +1 more
TL;DR: In this paper, it was shown that the banded linear system for the B-spline coefficients of an interpolating spline function can be solved by Gauss elimination without pivoting.
Journal ArticleDOI
Assessing the presence of harmful collinearity and other forms of weak data through a test for signal-to-noise
TL;DR: In this paper, a signal-to-noise (SNO) test is proposed to detect weak data based on the size of the noise relative to the magnitude of the signal.