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Matrix Polynomial Computations Using the Reconfigurable Systolic Torus

机译:矩阵多项式计算使用可重新配置的收缩圆环

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A wide range of matrix functions, including matrix exponentials, inversions and square roots can be transformed to matrix polynomials through Taylor series expansions. The efficient computation of such matrix polynomials is considered here, through the exploitation of their recursive nature. The Reconfigurable Systolic Torus is proposed for its ability to implement interative equations of various forms. Moreover, a detailed example of the matrix exponential realization is presented. together with the scaling and squaring method. The general design conepts of the Reconfigurable Systolic Torus are discussed and the algorithmic steps need for the implementation are presented. The Area and Time requirements, together with the accomplished utilization percentage conclude the presentation.
机译:通过泰勒串联扩展,可以将多种矩阵函数,包括矩阵指数,倒数和方形根部转换为矩阵多项式。 通过剥离其递归性质,在此考虑这种矩阵多项式的有效计算。 建议可重新配置的收缩圆环,以实现各种形式的相互动物方程的能力。 此外,呈现了矩阵指数实现的详细示例。 与缩放和平方法一起。 讨论了可重新配置的收缩圆环的一般设计并提出了实现的算法步骤。 地区和时间要求与完成的利用率百分比总结了介绍。

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