The Inverse and the Determinant of Pentadiagonal Toeplitz Matrix.
Journal Title: International Journal of Applied Science and Mathematics - Year 2018, Vol 5, Issue 3
Abstract
Pentadiagonal Toeplitz matrix has been well studied over the past years, and the invertibility of nonsingular pentadiagonal Toeplitz matrices has been quitely investigated in different fields of applied linear algebra. In this paper, we provide a necessary and sufficient condition on which pentadiagonal Toeplitz matrix, present an algorithm for calculating the determinant of a pentadiagonal Toeplitz matrix, and propose a fast algorithm for computing the inverse of a pentadiagonal Toeplitz matrix.
Authors and Affiliations
Zheng Wang
Application of Differential Equation in Heat Conduction Model
Heat conduction is a phenomenon of heat transfer without macroscopic motion in the medium, and heat transfer will occur as long as there is temperature difference between the medium and the medium. As a main way of heat...
Optimal Solution of Differential Equations for Heat Conduction in Infinitely Large Flat Wall Models
Thermal protective clothing in high temperature environment is usually composed of multiple layers of insulation materials. It is of great significance to study the establishment of thermal conductivity model of multilay...
On the Analytic-Numeric Solution of System of Dynamics Drug Therapy and Harmonic Oscillator Models
In this work, we present both analytical and numerical approaches to solve dynamics drug therapy and harmonic oscillator models. The procedures are being discussed and applied. The closed form numerical solutions obtaine...
Research on Active Steering Control Strategy of Steering-by-Wire System
Based on the software of CarSim and Simulink, the dynamics model of steering-by-wire (SBW) vehicle is established. In the steering control strategy of steering-by-wire (SBW) system, the variable-angle transmission ratio...
Effect of Polygonal Approximation of Smooth Domains on the Finite Element approximation Accuracy
A nonlinear elliptic problem is approximated in a smooth domain by finite element of low degree. The effect of the polygonal approximation of the domain on the accuracy is studied.