Topic
Spectrum of a matrix
About: Spectrum of a matrix is a research topic. Over the lifetime, 1064 publications have been published within this topic receiving 19841 citations. The topic is also known as: matrix spectrum.
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01 Jan 2008
1 citations
Journal Article•
TL;DR: In this article, Fan's theorem of matrix eigenvalues is generalized, its several generalizations are obtained and a kind of method of estimation of matrix Eigenvalue is given.
Abstract: In this paper, Ky Fan's theorem of matrix eigenvalues is generalized, its several generalizations are gotten and a kind of method of estimation of matrix eigenvalues is given.
1 citations
TL;DR: In this article, an order-reduction method is proposed by means of which a part of the eigenvalues of a given large system in n-D space can be solved conveniently.
1 citations
TL;DR: In this article, the reduction of zero eigenvalues of the A matrix for linear time-invariant RLC networks and the consequent reduction of order of the state equations are discussed.
Abstract: This correspondence deals with the elimination of zero eigenvalues of the A matrix for linear time-invariant RLC networks and the consequent reduction of order of the state equations. The state variables used are a subset of the capacitor voltages and inductor currents, chosen such that the order of the state equation is equal to the number of finite nonzero eigenvalues or natural frequencies of the network. Two methods are given for the reduction to minimum order of the commonly used linear state equation.
1 citations