Results 31 to 40 of about 302 (56)
Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic
, 2017 It was shown in a series of recent publications that the eigenvalues of $n\times n$ Toeplitz matrices generated by so-called simple-loop symbols admit certain regular asymptotic expansions into negative powers of $n+1$. On the other hand, recently two of
Barrera, Mauricio +3 more
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Determinants and Inverses of Ppoeplitz and Ppankel matrices
Special Matrices, 2018 In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix.
Zuo Baishuai, Jiang Zhaolin, Fu Deqian
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Arov--Krein entropy functionals and indefinite interpolation problems
, 2019 We generalize the notion of the Arov-Krein entropy functional for the case of generalized Nevanlinna functions and obtain a representation of these functionals on solutions of indefinite interpolation problems. The case of indefinite Caratheodory problem
Roitberg, I., Sakhnovich, A. L.
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“It’s MAGA Season”: The Rise of Right-Wing Rappers during Trump’s Presidency
TranspositionThis article explores the rise of “MAGA rappers” – hip-hop artists who align with Donald Trump’s political ideology – and examines how this subgenre reflects a broader cultural shift in U.S. politics and popular music.
Matthew Anderson
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Patterns with several multiple eigenvalues
Special Matrices, 2014 Identified are certain special periodic diagonal matrices that have a predictable number of pairedeigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5eigenvalues are also investigated further.
Dorsey J., Johnson C.R., Wei Z.
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Matrix methods for Pad\'e approximation: numerical calculation of poles, zeros and residues
, 2018 A representation of the Pad\'e approximation of the $Z$-transform of a signal as a resolvent of a tridiagonal matrix $J$ is given. Several formulas for the poles, zeros and residues of the Pad\'e approximation in terms of the matrix $J$ are proposed ...
Perotti, Luca, Wojtylak, Michal
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Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
Special Matrices, 2019 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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Representation of Cyclotomic Fields and Their Subfields [PDF]
, 2012 Let $\K$ be a finite extension of a characteristic zero field $\F$. We say that the pair of $n\times n$ matrices $(A,B)$ over $\F$ represents $\K$ if $\K \cong \F[A]/$ where $\F[A]$ denotes the smallest subalgebra of $M_n(\F)$ containing $A$ and $$ is an
A. K. Lal +3 more
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Tunable localisation in parity-time-symmetric resonator arrays with imaginary gauge potentials
Forum of Mathematics, SigmaThe aim of this paper is to illustrate both analytically and numerically the interplay of two fundamentally distinct non-Hermitian mechanisms in the deep subwavelength regime.
Habib Ammari +3 more
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, 2014 This note is devoted to preconditioning strategies for non-Hermitian multilevel block Toeplitz linear systems associated with a multivariate Lebesgue integrable matrix-valued symbol.
Donatelli, Marco +4 more
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