Suchergebnisse - Numerical Algorithms AND Problems—computations on matrices~

Converting to and from Dilated Integers von 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 …”
Volltext

Division-free computation of subresultants using Bezout matrices von Kerber, Michael

“… ]. We evaluate determinants of slightly manipulated Bezout matrices using the algorithm of Berkowitz …”
Volltext

Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms von 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 …”
Volltext

Control theoretic splines: optimal control, statistics, and path planning (princeton series in applied mathematics). von Egerstedt, Magnus, Martin, Clyde

“… In this book, they begin with a series of problems ranging from path planning to statistics to approximation …”
Volltext

New numerical treatment of source term in convective transfer of heat between fluid and porous solid matrix von Hajek, Jiri, Jurena, Tomas

“… Design/methodology/approach – The novel formulation is obtained by analytical solution of an idealized dual problem …”
Volltext

Fast algorithm for structural dynamics problems using differential quadrature method and V-transformation von Fangzong, Wang, Xiaobing, Liao

“… The differential quadrature method (DQM) has been widely used for structural dynamics problems computation …”
Volltext

Complexity results for some eigenvector problems von 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 …”
Volltext

A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem von 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 …”
Volltext

Interval analysis : and automatic result verification von Mayer, Günter

“… in the mathematics of computation. Contents * * Preliminaries * Real intervals * Interval vectors, interval matrices …”
Volltext

Low-rank traffic matrix completion with marginal information von 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 …”
Volltext

QR Decomposition Based on Double-double Precision Gram-Schmidt Orthogonalization Method von 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 …”
Volltext

pyCTQW: A continuous-time quantum walk simulator on distributed memory computers von 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 …”
Volltext

Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses von 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 …”
Volltext

A Generalized SOR Method for Dense Linear Systems of Boundary Element Equations von 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 …”
Volltext

Total positivity and least squares problems in the Lagrange basis von 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 …”
Volltext

Minimum Fill-in of Sparse Graphs: Kernelization and Approximation von Fomin, Fedor V., Philip, Geevarghese, Villanger, Yngve

“… The problem has important applications in numerical algebra, in particular in sparse matrix computations …”
Volltext

The nearest graph Laplacian in Frobenius norm von Sato, Kazuhiro, Suzuki, Masato

Volltext

Optimisation of Automatic Matrix Multiplication Mixing Accuracy Based on Polyhedral Models von 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 …”
Volltext

On the computation of intrinsic Proper Generalized Decomposition modes of parametric symmetric elliptic problems on Grassmann manifolds von 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 …”
Volltext

Introduction to Numerical Analysis von 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 …”
Volltext