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Non-Parametric Methods in General Linear Models.
Journal of the Royal Statistical Society. Series A (General), 1986Distribution theory of rank statistics: Distribution Theory of Linear Rank-Order Statistics Distribution Theory of Signed Rank Order Statistics Distribution Theory of Multivariate Linear Rank-Order Statistics Nonparametric inference in linear models: Distribution-Free Rank-Order Tests for Some Linear Hypotheses Rank-Order Estimation Theory in Some ...
A. N. Pettitt, M. L. Puri, P. K. Sen
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Analysis and Generalizations of the Linearized Bregman Method
SIAM Journal on Imaging Sciences, 2010This paper analyzes and improves the linearized Bregman method for solving the basis pursuit and related sparse optimization problems. The analysis shows that the linearized Bregman method has the exact regularization property; namely, it converges to an exact solution of the basis pursuit problem whenever its smooth parameter $\alpha$ is greater than ...
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Linear and non-linear stability for general linear methods
BIT, 1987Stability in a numerical method prevents the growth of the approximate solution of a differential equation for which the solution is bounded. A variety of concepts of stability have been developed. For one-leg methods, two extremes, namely A-stability and algebraic stability together with a spectrum between these extremes are equivalent.
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Variable order and stepsize in general linear methods
Numerical Algorithms, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saghir Ahmad +2 more
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Generalization of the linear algebraic method to three dimensions
Physical Review A, 1991We present a numerical method for the solution of the Lippmann-Schwinger equation for electron-molecule collisions. By performing a three-dimensional numerical quadrature, this approach avoids both a basis-set representation of the wave function and a partial-wave expansion of the scattering potential.
, Lynch, , Schneider
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Generalized AOR methods for linear complementarity problem
Applied Mathematics and Computation, 2007The authors propose a class of generalized accelerated overrelaxation (GAOR) methods for the linear complementarity problem, whose special case reduces to generalized successive overrelaxation (GSOR) methods. Some sufficient conditions for convergence of the GAOR and GSOR methods are presented when the system matrix \(M\) is an \(H\)-matrix, \(M ...
Yaotang Li, Pingfan Dai
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A Class of Explicit Exponential General Linear Methods
BIT Numerical Mathematics, 2006The paper presents a class of explicit exponential integrators for semilinear problems \(y'(t) = Ly(t) + N(t,y(t))\), where \(L\) is a sectorial linear operator and \(N\) a smooth nonlinear map. This abstract framework includes semilinear parabolic initial-boundary value problems.
Ostermann, Alexander. +2 more
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Trajectories generation under constraints by linearization method
Computer Methods in Applied Mechanics and Engineering, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rouff, Marc, Verdier, Matthieu
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General linear methods for y′′ = f (y (t))
Numerical Algorithms, 2012In this paper we consider the family of General Linear Methods (GLMs) for the numerical solution of special second order Ordinary Differential Equations (ODEs) of the type y???=?f(y(t)), with the aim to provide a unifying approach for the analysis of the properties of consistency, zero-stability and convergence.
Raffaele D'Ambrosio +2 more
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A Generalization of Linear Multistep Methods
1990A generalization of the methods that are currently available to solve systems of ordinary differential equations is made. This generalization is made by constructing linear multistep methods from an arbitrary set of monotone interpolating and approximating functions. Local truncation error estimates as well as stability analysis is given. Specifically,
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