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Second derivative general linear methods
Numerical Algorithms, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. I. Okuonghae, M. N. O. Ikhile
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Linear convergence of generalized Weiszfeld's method
Computing, 1980Weiszfeld's method is widely used for solving problems of optimal location. It is shown that a very general variant of this method converges linearly thus generalizing a result of I. N. Katz.
Heinrich Voß, Ulrich Eckhardt
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The Construction of Practical General Linear Methods
BIT Numerical Mathematics, 2003The purpose of the material is to give a framework for the derivation of diagonally implicit general linear methods possesing the property of ``inherent Runge-Kutta stability'' (IRKS). These methods are chosen in such a way that the stage order \(q\) and the order \(p\) are equal and the information passed from step to step takes the form of a ...
Wright, William Matthew. +1 more
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A new linearization method for generalized linear multiplicative programming
Computers & Operations Research, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun-Feng Wang, San-Yang Liu
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General linear method: a survey
Applied Numerical Mathematics, 1985Of the various methods devised as generalizations of the classical method of Euler, two extreme approaches are typically followed. One is to generalize the Euler method through the use of multistep methods; the other is to increase the complexity of one-step methods as in the Runge- Kutta method.
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Nonlinear Stability of General Linear Methods
Numerische Mathematik, 2006This paper extends the results of the important paper by \textit{J. C. Butcher} [The equivalence of algebraic stability and \(AN\)-stability, BIT 27, 510--533 (1987; Zbl 0637.65083)], and by \textit{G. Dahlquist} [\(G\)-stability is equivalent to \(A\)-stability, BIT 18, 384--401 (1978; Zbl 0413.65057)].
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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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Multistep Methods and General Linear Methods
1987This chapter is devoted to the study of multistep and general multivalue methods. After retracing their historical developement (Adams, Nystrom, Milne, BDF) we study in the subsequent sections the order, stability and convergence properties of these methods.
Ernst Hairer +2 more
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Generating invariants for non-linear loops by linear algebraic methods
Formal Aspects of Computing, 2015Abstract We present new computational methods that can automate the discovery and the strengthening of non-linear interrelationships among the variables of programs containing non-linear loops, that is, that give rise to multivariate polynomial and fractional relationships. Our methods have complexities lower than the mathematical foundations
Rachid Rebiha +2 more
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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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