On the spectrum of tridiagonal matrices with two-periodic main diagonal
We 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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Purpose. Preparation of short scientifically-historical essay about the distinguished designer of domestic |space-rocket technique and one of basic creators of missiles for a Soviet rocket-nuclear «shield» Mikhail Kuzmich Yangel. Methodology.
M. I. Baranov
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Exact Recursive Calculation of Circulant Permanents: A Band of Different Diagonals inside a Uniform Matrix. [PDF]
Kocharovsky V +3 more
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Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers
In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers.
Öteleş Ahmet
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Entropy Optimization, Maxwell-Boltzmann, and Rayleigh Distributions. [PDF]
Sebastian N, Mathai AM, Haubold HJ.
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Deciphering core phyllomicrobiome assemblage on rice genotypes grown in contrasting agroclimatic zones: implications for phyllomicrobiome engineering against blast disease. [PDF]
Sahu KP +10 more
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Zeros distribution and interlacing property for certain polynomial sequences
In this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun +2 more
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Automated seizure onset zone locator from resting-state functional MRI in drug-resistant epilepsy. [PDF]
Banerjee A +5 more
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Biosensing with Fluorescent Carbon Nanotubes. [PDF]
Ackermann J +3 more
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