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1 - 5 of 5
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 Algorithm 923: efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices
Wimmer M. ACM Transactions on Mathematical Software 38(4): 1-17, 2012. Type: Article
The Pfaffian of a matrix, like the determinant, is a polynomial in the matrix elements. It is most frequently used in particle physics where the matrix is even-ordered and skew-symmetric, and the determinant is the square of the Pfaffi...
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Oct 30 2012 |
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High-performance up-and-downdating via Householder-like transformations
Van De Geijn R., Van Zee F. ACM Transactions on Mathematical Software 38(1): 1-17, 2011. Type: Article
The linear least-squares problem in statistics is usually solved by finding the Cholesky factor of the matrix of normal equations. In certain applications, one wants to solve several related problems formed by removing and/or adding da...
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Apr 30 2012 |
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Insight through computing: a MATLAB introduction to computational science and engineering
Van Loan C., Fan K., SIAM, Philadelphia, PA, 2009. 452 pp. Type: Book (978-0-898716-91-7)
This is a carefully designed introductory text to computational science that uses the MATLAB language. Among scientists, engineers, and numerical analysts, MATLAB has become a lingua franca for describing and executing algorithms. As o...
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May 28 2010 |
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Influence diagnostics for generalized linear mixed models: applications to clustered data
Xiang L., Tse S., Lee A. Computational Statistics & Data Analysis 40(4): 759-774, 2002. Type: Article
The generalized linear mixed model (GLMM) is one of many extensions of the usual linear model. In a GLMM, observations are not necessarily independent, but it is assumed that data can be clustered so that observations in different clus...
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Apr 17 2003 |
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Parallel implementation of the Bi-CGSTAB method with block red-black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of partial differential equations
Brill S., Pinder G. Parallel Computing 28(3): 399-414, 2002. Type: Article
Brill and Pinder describe a straightforward parallelization of a Krylov-type method for solving a system of linear equations where the matrix is large and sparse. With red-black ordering of rows and columns, the matrix becomes block s...
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Jan 3 2003 |
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