Výsledky vyhľadávania - Numerical Algorithms AND Problems—computations on matrices

Converting to and from Dilated Integers Autor Raman, R., Wise, D.S.

“… They are essential for programmers who would use Cartesian indexing there. Two algorithms for each casting conversion are presented here, including to-and-from dilated integers for both d = 2 and d = 3…”
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Division-free computation of subresultants using Bezout matrices Autor Kerber, Michael

“…]. We evaluate determinants of slightly manipulated Bezout matrices using the algorithm of Berkowitz…”
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Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms Autor Bullo, Francesco, Cortés, Jorge, Martínez, Sonia

“… The book presents a broad set of tools for understanding coordination algorithms, determining their correctness, and assessing their complexity…”
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Control theoretic splines: optimal control, statistics, and path planning (princeton series in applied mathematics). Autor Egerstedt, Magnus, Martin, Clyde

“… In this book, they begin with a series of problems ranging from path planning to statistics to approximation…”
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New numerical treatment of source term in convective transfer of heat between fluid and porous solid matrix Autor Hajek, Jiri, Jurena, Tomas

“… Design/methodology/approach – The novel formulation is obtained by analytical solution of an idealized dual problem…”
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Fast algorithm for structural dynamics problems using differential quadrature method and V-transformation Autor Fangzong, Wang, Xiaobing, Liao

“…The differential quadrature method (DQM) has been widely used for structural dynamics problems computation…”
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Complexity results for some eigenvector problems Autor Eiter, Thomas, Gottlob, Georg

“…We consider the computation of eigenvectors over the integers, where each component x i satisfies for an integer b. We address various problems in this…”
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A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem Autor Vinitsky, S. I., Gerdt, V. P., Gusev, A. A., Kaschiev, M. S., Rostovtsev, V. A., Samoilov, V. N., Tyupikova, T. V., Chuluunbaatar, O.

“…A symbolic-numerical algorithm for the computation of the matrix elements in the parametric eigenvalue problem to a prescribed accuracy is presented…”
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Interval analysis : and automatic result verification Autor Mayer, Günter

“… in the mathematics of computation. Contents * * Preliminaries * Real intervals * Interval vectors, interval matrices…”
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Low-rank traffic matrix completion with marginal information Autor Xiong, Zikai, Wei, Yimin, Xu, Renjie, Xu, Yanwei

“… In this paper, we utilize such marginal information to largely improve the performance of common matrix completion algorithms and propose an alternating direction method of multipliers (ADMM…”
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QR Decomposition Based on Double-double Precision Gram-Schmidt Orthogonalization Method Autor Jin, Jiexi, Xie, Hehu, Du, Peibing, Quan, Zhe, Jiang, Hao

“… and BCGS＿PIO algorithms, which proves that DDMGS algorithm can effectively reduce the loss of orthogonality of matrix, improve the numerical accuracy, and demonstrate the stability of our…”
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pyCTQW: A continuous-time quantum walk simulator on distributed memory computers Autor Izaac, Josh A., Wang, Jingbo B.

“… (continuous-time quantum walk)-based systems. In this paper, we present an introduction to the Python and Fortran interfaces of pyCTQW, discuss various numerical methods of calculating the matrix exponential, and demonstrate the performance…”
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Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses Autor Gerontitis, Dimitrios, Stojanović, Igor, Ćirić, Miroslav, Stanimirović, Predrag S.

“… Algorithms arising from the introduced representations are developed. Particularly, these algorithms can be used to compute the Moore-Penrose inverse, the Drazin inverse, and the usual matrix inverse…”
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A Generalized SOR Method for Dense Linear Systems of Boundary Element Equations Autor Davey, K., Bounds, S.

“… The parameter matrix $\Omega$ is selected to minimize the Frobenius norm $\|D - (\Omega H)_u\|_F$. Mathematical arguments and numerical experiments are presented to show that minimizing…”
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Total positivity and least squares problems in the Lagrange basis Autor Marco, Ana, Martínez, José‐Javier, Viaña, Raquel

“…‐Vandermonde matrices are used to take advantage of total positivity in the construction of accurate algorithms to solve the considered problem…”
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Minimum Fill-in of Sparse Graphs: Kernelization and Approximation Autor Fomin, Fedor V., Philip, Geevarghese, Villanger, Yngve

“… The problem has important applications in numerical algebra, in particular in sparse matrix computations…”
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The nearest graph Laplacian in Frobenius norm Autor Sato, Kazuhiro, Suzuki, Masato

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Optimisation of Automatic Matrix Multiplication Mixing Accuracy Based on Polyhedral Models Autor HE Haotian, ZHOU Bei, GUO Shaozhong, ZHANG Zuoyan, HAO Jiangwei, XU Jinchen

“…Mixed precision is a numerical computation technique in computers that improves the efficiency of computation by converting some of the data types in the computation from high precision to low…”
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On the computation of intrinsic Proper Generalized Decomposition modes of parametric symmetric elliptic problems on Grassmann manifolds Autor Bandera, Alejandro, Fernández-García, Soledad, Gómez-Mármol, Macarena

“…In this work, we introduce an iterative optimization algorithm to obtain the intrinsic Proper Generalized Decomposition modes of elliptic partial differential equations…”
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Introduction to Numerical Analysis Autor Stoer, J, Bartels, R, Bulirsch, R, Gautschi, W, Witzgall, C

“… Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices…”
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