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A generalized inverse method for asymptotic linear programming

Mathematical Programming, 1989
The paper describes an efficient method for computing the solution x(t) of the system of equations \((A+tB)x=b\). It is shown that \textit{J. H. Wilkinson's} factorization [Recent applications of generalized inverses, Res. Notes Math. 66, 82-99 (1982; Zbl 0491.65025)] provides the Laurent expansion of x(t) for the case when both A and B are singular ...
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Goodness‐of‐Fit Methods for Generalized Linear Mixed Models

Biometrics, 2005
SummaryWe develop graphical and numerical methods for checking the adequacy of generalized linear mixed models (GLMMs). These methods are based on the cumulative sums of residuals over covariates or predicted values of the response variable. Under the assumed model, the asymptotic distributions of these stochastic processes can be approximated by ...
Pan, Zhiying, Lin, D. Y.
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General Linear Methods for Stiff Differential Equations

BIT Numerical Mathematics, 2001
A general class of numerical methods for stiff initial value problems that contains both the linear multistep and Runge-Kutta methods is considered. The aim of the author is to obtain particular methods that combine the low computational cost shared by the standard backward differential formula (BDF) methods of the class of multistep methods with the ...
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General linear methods for ordinary differential equations

Mathematics and Computers in Simulation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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G-matrices for algebraically stable general linear methods

Numerical Algorithms, 2009
The aim of the paper is to find a \(G\)-matrix explicitly, in terms of the corresponding generalised eigenvectors, using an entirely different technique based on the theory of positive real control systems. This technique is feasible for a larger class of general linear methods (GLMs) than those that are algebraically stable.
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Parallel elimination method for general linear systems

Neural Parallel Sci. Comput., 2000
Summary: This paper presents an elimination method which is a variant of Gaussian elimination that works from middle outword rather than top down for parallel solution of general linear system \(Ax= b\). This elimination process results in an Alternate Quadrant Interlocking Factorization (AQIF) of the matrix \(A\); \(A= WZ\). A characterization for the
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Methods of Analysis of Linear Models with Unbalanced Data

Journal of the American Statistical Association, 1978
R R Hocking, F M Speed
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Generalized Quasi-Einearization Method

AIAA Journal, 1974
Scharmack, D. K., Sandell, N. R. jun.
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