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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TL;DR: In this article, the basis of a many-phonon system was constructed in the nuclear collective model using the projection-operator method and the proof of the completeness of this basis was given and the matrices of the generators of the group SO(5) are obtained in this basis.
Abstract: The basis of a many-phonon system is constructed in the nuclear collective model using the projection-operator method. The proof of the completeness of this basis is given and the matrices of the generators of the group SO(5) are obtained in this basis. The matrix of the additional integral of motion Omega is calculated. This matrix has a non-degenerate spectrum of eigenvalues omega i which can be used as the missing quantum number.
7 citations
TL;DR: In this article, the eigenvalues of a He-benzene model where the benzene is held fixed in space and non-rotating were determined using cross-correlation filter-diagonalization.
7 citations
TL;DR: In this article, a necessary condition for a positive semi-definite matrix to be a permanent maximizing matrix is that A commute with its permanental adjoint, which is the same condition as in this paper.
Abstract: As a step toward understanding the unsolved problem of determining how large the permanent of a positive semi-definite matrix can be, given the eigenvalues, we note that a necessary condition for A to be a permanent maximizing matrix is that A commute with its permanental adjoint.
7 citations
TL;DR: In this paper, a characterization of the sensitivity of eigenvalues of A with respect to the perturbation A + tE is provided, and necessary and sufficient conditions are provided for which A and A+ tE are isospectral for all t ∈ C.
7 citations
7 citations