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Subjects / keywords: ABHYANKAR, SHREERAM; 512.33 A147r

This thesis, entitled €High Performance Computing for solving large sparse systems. Optical Diffraction Tomography as a case of study€ investigates the computational issues related to the resolution of linear systems o...

Abstract To avoid impacts and vibrations during the processes of acceleration and deceleration while possessing flexible working ways for cable-suspended parallel robots (CSPRs), point-to-point trajectory planning demand...

In contrast to the standard algebraic multigrid, the Wavelet-based Algebraic Multigrid method relies more strongly on the smoothing method because the coarse spaces are chosen a priori. So, it is very important to develo...

Background: The transition from arithmetic to algebra remains a persistent challenge in early mathematics education. While structural awareness is widely recognised as foundational to this shift, the developmental mecha...

Abstract Topology and performance are the two main topics dealt in the development of robotic mechanisms. However, it is still a challenge to connect them by integrating the modeling and design process of both parts in a...

Several numerical time integration methods for multibody system dynamics are described: an energy preserving scheme and three energy decaying ones, which introduce high-frequency numerical dissipation in order to annihil...

Abstract The Jiles-Atherton scalar hysteresis model presents five parameters used to represent the material tested and used to calculate the magnetic losses. This article presents a comparative analysis of the performanc...

The so-called driven Liouville–von Neumann equation is a dynamical formulation to simulate a voltage bias across a molecular system and to model a time-dependent current in a grand-canonical framework. This approach in...

Abstract Digital medicine leverages digital biomarkers by algebraically integrating multiple biomarkers to reflect disease status. Colorimetric analysis offers an intuitive readout, but colorimetric-based digital medicin...

We introduce and discuss a new computational model for the HermiteLagrange interpolation with nonlinear classes of polynomial interpolants. We distinguish between an interpolation problem and an algorithm that solves it....

In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent p...

The condition for invariance under a translation of the coordinate system of the Verdet tensor and the Verdet constant, calculated via quantum chemical methods using gaugeless basis sets, is expressed by a vanishing sum ...

A novel approach to approximately solving the restricted-control LQR problem online is substantiated and applied in two case-studies.  The first example is a one-dimensional system whose exact solution is known.  The o...

We consider first the zero–nonzero determination problem, which consists in determining the list of zero–nonzero conditions realized by a finite list of polynomials on a finite set Z⊂Ck with C an algebraic closed f...

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...

This paper provides a theoretical framework for analysis of consensus algorithms for multi-agent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due ...

This well written book is enlarged by the following topics: $B$-splines and their computation, elimination methods for large sparse systems of linear equations, Lanczos algorithm for eigenvalue problems, implicit shift t...

The particle swarm is an algorithm for finding optimal regions of complex search spaces through the interaction of individuals in a population of particles. This paper analyzes a particle's trajectory as it moves in disc...

Subjects / keywords: mathematics, algebraic methods, number theory, geometries, statistics, partial differential equations; Science: Mathematics

Simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: For a given number gamma >0, find all controllers such that the H/sub infinity / norm of the closed-loo...

Subjects / keywords: graph theory, discrete mathematics, combinatorics, algebraic combinatorics, permutation groups; Science: Mathematics: Probabilities. Mathematical statistics; Technology: Technology (General): Industrial engineering. Mana...

Subjects / keywords: algebraic logic, boolean-valued fuzzy sets, fuzzy model theory, l-fuzzy sets, rough sets, states of fuzzy structures; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics....

       In this paper we applied new geometric methods for prove existence three dimensional linear [97,3 ,87]11 and [143,3,131]13 codes  theorems [(1.4.4), (1.5.5)].