Results 101 to 110 of about 256 (175)
If A Matrix Has Only A Single Eigenvalue How Sensitive Is This Eigenvalue?
, 1997 . For matrices with a single eigenvalue we analyse the sensitivity of the eigenvalue to perturbations in the matrix. We derive a closed form result that is similar in spirit to an analytical result by Lidskii; improve a bound by Henrici; and express the ...
Grace E. Cho, Ilse C.F. Ipsen
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Block diagonalization of (p, q)-tridiagonal matrices
Special MatricesIn this article, we study the block diagonalization of (p,q)\left(p,q)-tridiagonal matrices and derive closed-form expressions for the number and structure of diagonal blocks as functions of the parameters pp, qq, and nn. This reduction enables efficient
Manjunath Hariprasad
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conditions for Turing and wave instabilities in reaction-diffusion systems. [PDF]
J Math Biol, 2023 Villar-Sepúlveda E, Champneys AR.
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An Overview Of Relative sin Theta Theorems For Invariant Subspaces Of Complex Matrices
, 2007 . Relative perturbation bounds for invariant subspaces of complex matrices are reviewed, with emphasis on bounding the sines of the largest principal angle between two subspaces, i.e. sin \Theta theorems.
Ilse C. F. Ipsen
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On the spectrum of tridiagonal matrices with two-periodic main diagonal
Special MatricesWe find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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Infinite Eigenvalues and the QZ Algorithm
, 1999 The implicitly shifted (bulge chasing ) QZ algorithm is the most popular method for solving the generalized eigenvalue problem Av = Bv. This paper explains why the QZ algorithm functions well even in the presence of infinite eigenvalues. The key to rapid
David S. Watkins, Preprint Sfb
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Distribution eigenvalues and temperature index of graphs
Special MatricesLet GG be a simple graph on nn vertices with degree sequence d1,…,dn{d}_{1},\ldots ,{d}_{n}. Fajtlowicz (On conjectures of Graffiti, Discrete Math. 72 (1988), 113–118) defined the temperature of a vertex vv of GG as dn−d\frac{d}{n-d}, where dd is the ...
Oboudi Mohammad Reza
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Spectral Functions For Real Symmetric Toeplitz Matrices
, 1998 We derive separate spectral functions for the even and odd spectra of a real symmetric Toeplitz matrix, which are given by the roots of those functions. These are rational functions, also commonly referred to as secular functions.
A. Melman
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Eigenfunctions on an infinite Schrödinger network
Open MathematicsIn this article, we show that there is a one-to-one correspondence between the eigenfunctions associated with the perturbed Laplacian operator Δq{\Delta }_{q} on a Schrödinger infinite network {X,t,q}\{X,t,q\} with weight function q(a)q\left(a) and the ...
Bajunaid Ibtesam +2 more
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Spectral neighbor joining for reconstruction of latent tree Models. [PDF]
SIAM J Math Data Sci, 2021 Jaffe A +5 more
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