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2021•Unpublished venueRequires access

A New Algorithm for Multiplication and Inverse of a Class of Lower Triangular Matrices and Its Application

Yingjie Zhang, Xiao Song, Yiwen Yang

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Abstract

We propose a method to search the inverse matrix for a type of special multiplied triangular matrix quickly. The proposed method can be used for the decomposition of Diagonal matrix, Lower triangular matrix and Upper triangular matrix (LDU) of a square matrix, and can effectively reduce the complexity of calculation and improve the operation efficiency. The simulation results verify the convenience and effectiveness of the proposed algorithm.

About this research paper

What this paper is about

We propose a method to search the inverse matrix for a type of special multiplied triangular matrix quickly. The proposed method can be used for the decomposition of Diagonal matrix, Lower triangular matrix and Upper triangular matrix (LDU) of a square matrix, and can effectively reduce the complexity of calculation and improve the operation efficiency. The simulation results verify the convenience and effectiveness of the proposed algorithm.

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Available abstract

We propose a method to search the inverse matrix for a type of special multiplied triangular matrix quickly. The proposed method can be used for the decomposition of Diagonal matrix, Lower triangular matrix and Upper triangular matrix (LDU) of a square matrix, and can effectively reduce the complexity of calculation and improve the operation efficiency. The simulation results verify the convenience and effectiveness of the proposed algorithm.

Key concepts: Triangular matrix, Inverse, Matrix (chemical analysis), Square matrix, Band matrix, Diagonal, Diagonal matrix, Algorithm

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