on coneigenvalues of a complex square matrix
Authors
abstract
in this paper, we show that a matrix a in mn(c) that has n coneigenvectors, where coneigenvaluesassociated with them are distinct, is condiagonalizable. and also show that if allconeigenvalues of conjugate-normal matrix a be real, then it is symmetric.
similar resources
ON CONEIGENVALUES OF A COMPLEX SQUARE MATRIX
In this paper, we show that a matrix A in Mn(C) that has n coneigenvectors, where coneigenvaluesassociated with them are distinct, is condiagonalizable. And also show that if allconeigenvalues of conjugate-normal matrix A be real, then it is symmetric.
full textSpatial Resolution Enhancement in a 2D Photonic Crystal Based on Complex Square Lattice
We study the focusing properties of a two dimensional complex square-lattice photonic crystal (PC) comprising air holes immersed in Ge medium. The finite difference time domain (FDTD) method is utilized to calculate the dispersion band diagram and to simulate the image formation incorporating the perfectly matched layer (PML) boundary condition. In contrast to the common square PCs with the sam...
full textA Note on Determinant of Square Fuzzy Matrix
In this article, we would like to study the determinant theory of fuzzy matrices. The purpose of this article is to present a new way of expanding the determinant of fuzzy matrices and thereafter some properties of determinant are considered. Most of the properties are found to be analogus to the properties of determinant of matrices in crisp cases. Index Terms — reference function, membership ...
full textOn the Unitary Invariants of a Square Matrix.
Let A be a square n-rowed matrix with complex (including real) elements and let (X, . ., X,) denote its characteristic numbers. These characteristic numbers furnish the complete system of invariants of A under transformation of A by any non-singular matrix but there are in general other invariants when the transforming matrix is restricted to be unitary and it is the purpose of this note to giv...
full textOn the independence complex of square grids
The enumeration of independent sets of regular graphs is of interest in statistical mechanics, as it corresponds to the solution of hard-particle models. In 2004, it was conjectured by Fendley et al., that for some rectangular grids, with toric boundary conditions, the alternating number of independent sets is extremely simple. More precisely, under a coprimality condition on the sides of the r...
full textLecture Notes: Determinant of a Square Matrix
j=1 (−1) +j · ai∗j · det(M i∗j). (1) Besides det(A), we may also denote the determinant of A as |A|. Henceforth, if we apply (1) to compute det(A), we say that we expand A by row i∗. It is important to note that the value of det(A) does not depend on the choice of i∗. We omit a proof of this fact, but illustrate it in the following examples. Example 1 (Second-Order Determinants). In general, if...
full textMy Resources
Save resource for easier access later
Journal title:
international journal of mathematical modelling and computationsجلد ۳، شماره ۳ (SUMMER)، صفحات ۲۵۳-۲۵۸
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023