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Web of Proceedings - Francis Academic Press
Web of Proceedings - Francis Academic Press

Efficient Calculation of Matrix Exponential Function and Vector Product

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DOI: 10.25236/ISMHI.2019.100

Author(s)

Zhu Chaowu

Corresponding Author

Zhu Chaowu

Abstract

in Recent Years, Matrix Exponential Functions Have Been Widely Used in Semi-Linear Ordinary Differential Equations and Are Widely Used. Moreover, the Application in Actual Production and Life Has Gradually Increased. among Them, Engineering Mechanics, Molecular Dynamics, Mechanical Design, Etc. through the Matrix Function with Exponential Properties Can Promote Its Application in Actual Production and Provide a Powerful Driving Force for Social and Economic Development. Based on This, This Paper Constructs a Block Krylov Subspace, and Studies the Validity of Exponential Property Matrix Functions and Vector Products, in Order to Provide a Theoretical Reference for the Calculation of Exponential Class Matrix Functions in Daily Life.

Keywords

Matrix; Exponential Function; Vector Product; Calculation