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
A Study on the Application of LTE System for High -speed Maritime Wireless Communications.
LTE (Long Term Evolution), the fourth generation mobile communication standard, is regarded as the most successful mobile communication technology in the history of mobile communication with high speed wireless data tran...
Fuzzy Soft Multiset Approach to Decision Making Problems
Molodtsov formulated soft set theory as a general mathematical tool for dealing with uncertainties about vague concepts. In this paper, we used the adjustable approach to fuzzy soft set based decision making. Using concr...
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...
The Importance of Topology
Space is an important element of mathematical research. The study of spatial properties is a foremost task in topology. This paper discusses the importance of topology in three aspects. Firstly, taking a mathematical ana...
Evaluating Sine and Cosine Type Integrals
In this article, the integrals ∫_0^∞▒(sin x)/x^p dx and ∫_0^∞▒(cos x)/x^p dx are evaluated by using Laplace transform method different from the previous methods where 0<p<1.