Results 31 to 40 of about 475,064 (272)
On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra [PDF]
Non-selfadjoint tridiagonal matrices play a role in the discretization and truncation of the Schrödinger equation in some extensions of quantum mechanics, a research field particularly active in the last two decades.
Wei‐Ru Xu+2 more
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On some conjectures regarding tridiagonal matrices
We discuss several conjectures proposed recently by A.Z. Küçük and M. Düz on the permanent of certain type of tridiagonal matrices. We recall some less known results on tridiagonal matrices and, at the same time, bring other results together to a common ...
Carlos M. da Fonseca
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On tridiagonal matrices associated with Jordan blocks
This paper aims to show how some standard general results can be used to uncover the spectral theory of tridiagonal and related matrices more elegantly and simply than existing approaches.
da Fonseca Carlos M., Kowalenko Victor
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The characterization of inverses of symmetric tridiagonal and block tridiagonal matrices and the development of algorithms for finding the inverse of any general non-singular tridiagonal matrix are subjects that have been studied by many authors.
C. G. Almeida, S. A. E. Remigio
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Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices [PDF]
We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
Ayoub Harrat+2 more
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Spectral representations for a class of banded Jacobi-type matrices [PDF]
We describe some spectral representations for a class of non-self-adjoint banded Jacobi-type matrices. Our results extend those obtained by P.B. Naïman for (two-sided infinite) periodic tridiagonal Jacobi matrices.
Ewelina Zalot, Witold Majdak
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Asymptotics of the discrete spectrum for complex Jacobi matrices [PDF]
The spectral properties and the asymptotic behaviour of the discrete spectrum for a special class of infinite tridiagonal matrices are given. We derive the asymptotic formulae for eigenvalues of unbounded complex Jacobi matrices acting in \(l^2(\mathbb{N}
Maria Malejki
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Ultralow-Dimensionality Reduction for Identifying Critical Transitions by Spatial-Temporal PCA. [PDF]
The proposed spatial‐temporal principal component analysis (stPCA) method analytically reduces high‐dimensional time‐series data to a single latent variable by transforming spatial information into temporal dynamics. By preserving the temporal properties of the original data, stPCA effectively identifies critical transitions and tipping points.
Chen P+6 more
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LCD CODES FROM TRIDIAGONAL TOEPLITZ MATRICES [PDF]
Minjia Shi+3 more
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Tridiagonal matrices: Invertibility and conditioning [PDF]
AbstractTridiagonal matrices arise in a large variety of applications. Most of the time they are diagonally dominant, and this is indeed the case most extensively studied. In this paper we study, in a unified approach, the invertibility and the conditioning of such matrices.
BRUGNANO, LUIGI, TRIGIANTE, DONATO
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