Results 101 to 110 of about 17,645 (222)
The Double Dyson Index β Effect in Non-Hermitian Tridiagonal Matrices. [PDF]
Goulart CA, Pato MP.
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Eigenvalues of complex tridiagonal matrices [PDF]
Results of Arscott (1) and Jayne (3) on real matrices are generalized to obtain bounds for the real parts of the eigenvalues of certain complex tridiagonal matrices, and bounds for the imaginary parts of the eigenvalues of other tridiagonal matrices are given.
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Polynomial sequences generated by infinite Hessenberg matrices
We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study
Verde-Star Luis
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Tridiagonal matrices and functions analytic in two half-planes
Jiří Gregor
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Block-encoding structured matrices for data input in quantum computing [PDF]
The cost of data input can dominate the run-time of quantum algorithms. Here, we consider data input of arithmetically structured matrices via $\textit{block encoding}$ circuits, the input model for the quantum singular value transform and related ...
Christoph Sünderhauf +2 more
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On Generalized Jacobsthal and Jacobsthal-Lucas polynomials
In this paper we introduce a generalized Jacobsthal and Jacobsthal-Lucas polynomials, Jh,n and jh,n, respectively, that consist on an extension of Jacobsthal's polynomials Jn(𝑥) and Jacobsthal-Lucas polynomials jn(𝑥).
Catarino Paula, Morgado Maria Luisa
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Chain models and the spectra of tridiagonal k-Toeplitz matrices
Chain models can be represented by a tridiagonal matrix with periodic entries along its diagonals. Eigenmodes of open chains are represented by spectra of such tridiagonal $k$-Toeplitz matrices, where $k$ represents length of the repeated unit, allowing ...
M., Hariprasad, Venkatapathi, Murugesan
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Relation between determinants of tridiagonal and certain pentadiagonal matrices [PDF]
Jolanta Borowska, Lena Łacińska
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Inverses of quasi-tridiagonal matrices
A blockmatrix \(T=[T_{ij}]\) with square blocks \(T_{ii}\) is quasi- triangular, if \(T_{ij}=0\) for \(| i-j|>1\). Explicit formulas for the inverses of quasi-triangular matrices are given. The inverses can be characterized by the quasi-triangle property: \(R=[R_{ij}]\) has the q.t.p. if all \(R_{ii}\) nonsingular and \(R_{ij}=R_{ik}R^{- 1}_{kk}R_{kj}\)
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Sensitivity Analysis of Eigenvalues for PDNT Toeplitz Matrices
This study focuses on a class of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, mainly exploring their eigenvalue sensitivity and inverse problems. By the explicit expressions for eigenvalues and eigenvectors of PDNT Toeplitz matrices,
Zhaolin Jiang +3 more
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