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Inverting the Pascal Matrix Plus One

The American Mathematical Monthly, 2002
Immediately we notice this is basically the same matrix, except with every other subdiagonal multiplied by a factor of negative one. Obviously this result generalizes to any size Pascal matrix, and there is something so beautiful and natural about this result that it hardly needs a proof (see Call and Velleman [2] for a particularly elegant ...
Rita Aggarwala, Michael P. Lamoureux
openaire   +2 more sources

Dynamic matrix control for a single-phase inverter

2021 IEEE 30th International Symposium on Industrial Electronics (ISIE), 2021
In recent years, the model predictive control (MPC) has become a powerful control technique capable of dealing with nonlinearities of complex and non-complex systems. This paper presents the implementation of a Dynamic Matrix Control algorithm applied to a single-phase photovoltaic inverter for its application in isolated areas.
Carlos Alvarez   +3 more
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The core invertibility of a companion matrix and a Hankel matrix

Linear and Multilinear Algebra, 2018
ABSTRACTIn this paper, we show that the lower companion matrix associated with the monic polynomial over a ring with unity is core invertible if and only if there exist solutions x and y to (i) , (ii) , (iii) , (iv)  In addition, some methods of characterizing and computing the core inverse of a Hankel matrix and a Toeplitz matrix over a field are ...
Tingting Li, Jianlong Chen
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Inverter matrix for the Clementine mission

Proceedings of 1994 IEEE International Conference on Microelectronic Test Structures, 2002
An inverter matrix test circuit was designed for the Clementine space mission and is built into the RRELAX (Radiation and Reliability Assurance Experiment). The objective is to develop a circuit that will allow the evaluation of the CMOS FETs using a lean data set in the noisy spacecraft environment.
M.G. Buehler   +3 more
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A novel algorithm for inverting a k-pentadiagonal matrix

2016 3rd International Conference on Systems and Informatics (ICSAI), 2016
In this paper, we give an algorithm for inverting a k-pentadiagonal matrix and the algorithm is appropriate for implementation using computer algebra systems. And the computational cost of the algorithm is O (n2). Two illustrative examples are introduced.
Yanling Lin, Xiaolin Lin
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Algorithm 10: Inverting a Symmetrical Matrix in Place

Environment and Planning A: Economy and Space, 1980
Language Subroutine SYM is written in ANSI Fortran.
B Harris, Referee J Burdett
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Comparison of Neural Network Robot Models with Not Inverted and Inverted Inertia Matrix

2005
The mathematical model of an industrial robot is usually described in the form of Lagrange-Euler equations, Newton-Euler equations or generalized d'Alambert equations. However, these equations require the physical parameters of a robot that are difficult to obtain.
Jakub Mozaryn, Jerzy E. Kurek
openaire   +1 more source

The inverted functional matrix

Proceedings of the 33rd annual on Southeast regional conference - ACM-SE 33, 1995
The inverted functional matrix provides a new approach to organizing and managing projects in software engineering courses. The model simulates real-world software development and provides meaningful and varied experiences for students. Individual teams are functional units, responsible for different life cycle phases. The Inverted Functional Matrix is
Donald Gotterbarn   +2 more
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Inverting a Vandermonde matrix in minimum parallel time

Information Processing Letters, 1991
In this note, we address the problem of computing \(V^{-1}\), where \(V=(\lambda_ j^{i-1})_{ij}\) is a Vandermonde matrix and where the entries of \(V\) are elements of a field \(\mathcal F\). The computation model adopted is the arithmetic network, which is a synchronized interconnection of arithmetic modules, each capable of performing an arithmetic ...
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A New Matrix Decomposition Method for Inverting the Comrade Matrix

Journal of Mathematical & Computer Applications
Herein,we decompose the Comrade matrix based on its lower triangular L and triangular T factorization to calculate its inverse. We then show the proposed method is efficient with two algorithms.
B Talibi, A Aiat Hadj, D Sarsri
openaire   +1 more source

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