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Subjects / keywords: mathematics, approximation theory; Science: Mathematics

Subjects / keywords: applied mathematics, computational mathematics, applied analysis, approximation theory; Science: Mathematics

Subjects / keywords: mathematical modeling, approximation theory, computer simulation, control theory and fuzzy theory with applications, optimization theory; Science: Mathematics

Subjects / keywords: Science: Mathematics

Introduction and Preliminaries. Problems, Algorithms, and Complexity. LINEAR ALGEBRA. Linear Algebra and Complexity. LATTICES AND LINEAR DIOPHANTINE EQUATIONS. Theory of Lattices and Linear Diophantine Equations. Algorit...

Density functional approximations for the exchange-correlation energy EDFAxc of an electronic system are often improved by admixing some exact exchange Ex: Exc≊EDFAxc+(1/n)(Ex−EDFAx). This procedure is justified when...

The standard bootstrap (SBS), despite being computationally intensive, is widely used in maximum likelihood phylogenetic analyses. We recently proposed the ultrafast bootstrap approximation (UFBoot) to reduce computing t...

Previous article Next article An Algorithm for Least-Squares Estimation of Nonlinear ParametersDonald W. MarquardtDonald W. Marquardthttps://doi.org/10.1137/0111030PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport Ci...

An approach to the general problem of signal parameter estimation is described. The algorithm differs from its predecessor in that a total least-squares rather than a standard least-squares criterion is used. Although di...

The behaviour of Rogers's η parameter for enantiomorph-polarity estimation is examined theoretically and experimentally on simulated intensity data for seven well-assorted compounds. An alternative parameter x, based on...

Previous article Next article Fractional Brownian Motions, Fractional Noises and ApplicationsBenoit B. Mandelbrot and John W. Van NessBenoit B. Mandelbrot and John W. Van Nesshttps://doi.org/10.1137/1010093PDFBibTexSecti...

An improvement of a new technique for modelling cracks in the finite element framework is presented. A standard displacement-based approximation is enriched near a crack by incorporating both discontinuous fields and the...

Abstract In a 1935 paper and in his book Theory of Probability, Jeffreys developed a methodology for quantifying the evidence in favor of a scientific theory. The centerpiece was a number, now called the Bayes factor, wh...

It is argued that P-values and the tests based upon them give unsatisfactory results, especially in large samples. It is shown that, in regression, when there are many candidate independent variables, standard variable s...

Suppose x is an unknown vector in Ropf m (a digital image or signal); we plan to measure n general linear functionals of x and then reconstruct. If x is known to be compressible by transform coding with a known transform...

BACKGROUND: We recently described FastTree, a tool for inferring phylogenies for alignments with up to hundreds of thousands of sequences. Here, we describe improvements to FastTree that improve its accuracy without sacr...

The Gibbs sampler, the algorithm of Metropolis and similar iterative simulation methods are potentially very helpful for summarizing multivariate distributions. Used naively, however, iterative simulation can give mislea...

Following upon the general theory in Part I, a considerable simplification is here introduced in the treatment of the case where the grain centers of the new phase are randomly distributed. Also, the kinetics of the main...

Subjects / keywords: numerical analysis, approximation theory, applied mathematics, optimization, differential equations, mathematics; Science: Mathematics

Subjects / keywords: algebra, mathematics, approximation theory, mathematical physics equations; Science: Mathematics

Subjects / keywords: computer science, approximation algorithms, algorithmic game theory, communication and data networks, randomized algorithms, algorithm engineering; Technology: Technology (General): Industrial engineering. Management eng...

Subjects / keywords: functional analysis, approximation theory, iteration methods, fixed point theory, nonsmooth analysis, variational analysis; Science: Mathematics

Subjects / keywords: mathematical modelling, parallel algorithms, scientific computing, optimization, approximation theory, numerical analysis; Science: Mathematics

Subjects / keywords: control, game theory, approximation theory, optimization, mathematics, mechanics; Science: Mathematics