Models of Systolic Processors for the Solution of Problems of Linear Algebra By the Monte-Carlo Method

S.V.Bakhanovich; N.L.Likhoded

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Models of Systolic Processors for the Solution of Problems of Linear Algebra By the Monte-Carlo Method

机译：蒙特卡罗方法求解线性代数问题的脉动处理器模型

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Homogeneous algorithms and models of systolic processors have been obtained to solve the sets of linear algebraic equations, matrix inversion, and calculation of the largest magnitude of matrix eigenvalue. The algorithms and models derived can be modified for realization in parallel and vector computers. The models of systolic processors are capable of solving large-scale problems, since they are based on the Monte-Carlo method. In addition, the number of processor elements is independent of the problem dimension.

机译：为了解决线性代数方程组，矩阵求逆以及最大矩阵特征值的计算，已经获得了脉动处理器的同质算法和模型。可以修改导出的算法和模型，以在并行和矢量计算机中实现。脉动处理器模型基于蒙特卡洛方法，因此能够解决大规模问题。另外，处理器元件的数量与问题维度无关。

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《Engineering Simulation》 |2000年第6期|p.859-876|共18页
作者
S.V.Bakhanovich; N.L.Likhoded;
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正文语种 eng
中图分类计算技术、计算机技术;
关键词
systolic processor; Monte-Carlo method; linear algebraic equations set;

机译：心脏收缩处理器蒙特卡罗方法;线性代数方程组;

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1. The Global Nonlinear Galerkin Method for the Solution of von Karman Nonlinear Plate Equations: An Optimal & Faster Iterative Method for the Direct Solution of Nonlinear Algebraic Equations F(x) = 0, using x = λ[αF + (l-a)B~TF] [J] . Hong-Hua Dai, Jeom Kee Paik, S. N. Atluri Computers, Materials & Continua . 2011,第2期

机译：von Karman非线性板方程组的整体非线性Galerkin方法：使用x =λ[αF+（l-a）B〜TF]求解非线性代数方程F（x）= 0的直接的最优和快速迭代方法
2. Orbital Systolic Algorithms and Array Processors for Solution of the Algebraic Path Problem [J] . Stanislav G. SEDUKHIN, Toshiaki MIYAZAKI, Kenichi KURODA IEICE transactions on information and systems . 2010,第3期

机译：求解代数路径问题的轨道收缩算法和阵列处理器
3. Orbital Systolic Algorithms and Array Processors for Solution of the Algebraic Path Problem [J] . Stanislav G. SEDUKHIN, Toshiaki MIYAZAKI, Kenichi KURODA IEICE Transactions on Information and Systems . 2010,第3期

机译：求解代数路径问题的轨道收缩算法和阵列处理器
4. An Overview of Systolic Array Concepts and Applications for Linear Algebra and Signal Processing [C] . Kung Yao, Flavio Lorenzelli IEEE International Conference on Application-Specific Systems, Architectures, and Processors . 2006

机译：线性代数和信号处理的收缩阵列概念和应用概述
5. Fast and Reliable Methods in Numerical Linear Algebra, Signal Processing, and Image Processing [D] . Folberth, James. 2018

机译：在数值线性代数，信号处理和图像处理中快速可靠的方法
6. One class of meromorphic solutions of general two-dimensional nonlinear equations connected with the algebraic inverse scattering method [O] . D. V. Chudnovsky 1978

机译：一类一般的二维非线性方程的亚纯解与代数逆散射法联系起来
7. Monte-Carlo algorithm for solution of a systems of linear algebraic equations by the Seidel’s method [O] . Tatiana M. Tovstik, Kseniya S. Volosenko 2016

机译：Seidel方法的线性代数方程系统解的蒙特卡罗算法
8. Architecture of the Systolic Linear Algebra Parallel Processor (SLAPP) [R] . Symanski, J. J. 1986

机译：收缩线性代数并行处理器（sLapp）的体系结构

Models of Systolic Processors for the Solution of Problems of Linear Algebra By the Monte-Carlo Method

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