Journal ArticleDOI
Computer Solution of Linear Algebraic Systems. By G. Forsythe and C. B. Moler. Pp. xi, 148. 1967. (Prentice-Hall.)
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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
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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
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Journal ArticleDOI
Polynomial solutions of elastic layer problems
TL;DR: In this article, the axisymmetric point load solution for a half-space is used together with a series of spherical harmonics and biharmonics to satisfy the layer boundary conditions.
Book ChapterDOI
From solid modeling to finite element analysis
TL;DR: Together solid modeling, finite element mesh generation and analysis of finite element solutions form a powerful system and separately they perform useful functions which can interface with other computer codes and systems.
Book ChapterDOI
Definitions and Basic Notions
Jean-Michel Muller,Nicolas Brisebarre,Florent de Dinechin,Claude-Pierre Jeannerod,Vincent Lefèvre,Guillaume Melquiond,Nathalie Revol,Damien Stehlé,Serge Torres +8 more
TL;DR: The purpose of this chapter is to deal with basic problems: rounding, exceptions, properties of real arithmetic that become wrong in floating-point arithmetic, best choices for the radix, and radix conversions.
Improved Linear Algebra Methods for Redshift Computation from Limited Spectrum Data - II
Leslie V. Foster,Alex Waagen,Nabeela Aijaz,Michael Hurley,Apolo Luis,Joel Rinsky,Chandrika J. Satyavolu,P. R. Gazis,Ashok N. Srivastava,Michael J. Way +9 more
TL;DR: This work employed several methods to avoid this difficulty using algebraic manipulation and low-rank approximation, and was able to quickly approximate the redshifts in the testing data within 17 percent of the known true values using limited computational resources.