A novel method to compute all eigenvalues of the polynomial eigenvalue problems in an open half plane
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DOI: 10.1007/s40314-019-0778-8
Abstract: In this paper, we introduce the linear fractional mapping and the contour integral method. Based on them, we develop a new numerical method to find all eigenvalues of the polynomial eigenvalue problems in an open… read more here.
Keywords: polynomial eigenvalue; eigenvalues polynomial; problems open; open half ... See more keywords
On the Outlying Eigenvalues of a Polynomial in Large Independent Random Matrices
Sign Up to like & getrecommendations! Published in 2019 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnz080
Abstract: Given a selfadjoint polynomial $P(X,Y)$ in two noncommuting selfadjoint indeterminates, we investigate the asymptotic eigenvalue behavior of the random matrix $P(A_N,B_N)$, where $A_N$ and $B_N$ are independent Hermitian random matrices and the distribution of $B_N$… read more here.
Keywords: random matrices; outlying eigenvalues; eigenvalues polynomial; almost surely ... See more keywords