- The Algebra of Matrices

The circulant operator in the banach algebra of matrices

Linear Algebra and its Applications ◽

10.1016/0024-3795(91)90324-p ◽

1991 ◽

Vol 149 ◽

pp. 41-53 ◽

Cited By ~ 58

Author(s):

Raymond H. Chan ◽

Xiao-Qing Jin ◽

Man-Chung Yeung

Keyword(s):

Banach Algebra ◽

Algebra Of Matrices

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The Algebra of Matrices

A Survey of Modern Algebra ◽

10.1201/9781315275499-8 ◽

2017 ◽

pp. 214-259

Author(s):

Garrett Birkhoff ◽

Saunders Mac Lane

Keyword(s):

Algebra Of Matrices

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Maximal extensions with simple multiplication for the algebra of matrices of the second order

Discrete Mathematics and Applications ◽

10.1515/dma.1997.7.1.89 ◽

1997 ◽

Vol 7 (1) ◽

Cited By ~ 1

Author(s):

V. B. ALEKSEYEV

Keyword(s):

Second Order ◽

Algebra Of Matrices

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Number arrays, the algebra of matrices

Mathematics in Geology ◽

10.1007/978-94-015-4009-4_6 ◽

1988 ◽

pp. 129-175

Author(s):

John Ferguson

Keyword(s):

Algebra Of Matrices

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Dynamic Phasors Estimation Based on Taylor-Fourier Expansion and Gram Matrix Representation

Mathematical Problems in Engineering ◽

10.1155/2018/7613814 ◽

2018 ◽

Vol 2018 ◽

pp. 1-17 ◽

Cited By ~ 1

Author(s):

Predrag Petrović ◽

Nada Damljanović

Keyword(s):

Matrix Representation ◽

Series Representation ◽

Gram Matrix ◽

New Approach ◽

Dynamic Phasors ◽

New Strategy ◽

Analytical Expressions ◽

Numerical Complexity ◽

Algebra Of Matrices

The paper presents a new approach to estimation of the dynamic power phasors parameters. The observed system is modelled in algebra of matrices related to its Taylor-Fourier-trigonometric series representation. The proposed algorithm for determination of the unknown phasors parameters is based on the analytical expressions for elements of the Gram’s matrix associated with this system. The numerical complexity and algorithm time are determined and it is shown that new strategy for calculation of Gram’s matrix increases the accuracy of estimation, as well as the speed of the algorithm with respect to the classical way of introducing the Gram’s matrix. Several simulation examples of power system signals with a time-varying amplitude and phase parameters are given by which the robustness and accuracy of the new algorithm are confirmed.

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