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.
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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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DissertationDOI
Essays on Volatility Drivers, Transmissions and Equity Market Correlations in a Global Setting
TL;DR: In this article, Parhizgari and Figueiredo investigated the spillover of volatility from the foreign exchange market to equity correlations and its impact on global equity markets' bid-ask spreads.
Journal ArticleDOI
Some considerations of a class of multistage allocation problems
TL;DR: Some multistage allocation problems which appear in several engineering fields are mathematically identical and reduced to a class of problems and the nature of these design problems is examined comprehensively.
A critical analysis of the accuracy of several numerical techniques for combustion kinetic rate equations
TL;DR: An important finding is that use of the algebraic enthalpy conservation equation to compute the temperature can be more accurate and efficient than integrating the temperature differential equation.
Journal ArticleDOI
On the stability of the direct elimination method for equality constrained least squares problems
Emanuele Galligani,Luca Zanni +1 more
TL;DR: It is proved that the solution computed by the direct elimination method is the exact solution of a perturbed problem and bounds for data perturbations are given.