Results 21 to 30 of about 22,900 (243)
Identities and exponential bounds for transfer matrices [PDF]
, 2012 This paper is about analytic properties of single transfer matrices originating from general block-tridiagonal or banded matrices. Such matrices occur in various applications in physics and numerical analysis.
Molinari, Luca G
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Positive Integer Powers of Certain Tridiagonal Matrices and Corresponding Anti-Tridiagonal Matrices
Advances in Mathematical Physics, 2022 In this paper, we firstly derive a general expression for the entries of the mth (m∈ℕ) power for two certain types of tridiagonal matrices of arbitrary order. Secondly, we present a method for computing the positive integer powers of the anti-tridiagonal
Mohammad Beiranvand +1 more
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On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
Special Matrices, 2015 We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition.
Ohashi A., Sogabe T., Usuda T.S.
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The complete positivity of symmetric tridiagonal and pentadiagonal matrices
Special Matrices, 2022 We provide a decomposition that is sufficient in showing when a symmetric tridiagonal matrix AA is completely positive. Our decomposition can be applied to a wide range of matrices.
Cao Lei, McLaren Darian, Plosker Sarah
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Tridiagonal matrix representations of cyclic selfadjoint operators [PDF]
Pacific Journal of Mathematics, 1984 A bounded cyclic self-adjoint operator C defined on a separable Hilbert space H can be represented as a tridiagonal matrix with respect to the basis generated by a cyclic vector, in such a way that the subdiagonal matrix entries are positive. An operator J can then be defined so that \(CJ-JC=-2iK\) where K also has a tridiagonal matrix representation ...
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A new approach to tridiagonal matrices related to the Sylvester–Kac matrix [PDF]
Notes on Number Theory and Discrete MathematicsThe Sylvester–Kac matrix, a well-known tridiagonal matrix, has been extensively studied for over a century, with various generalizations explored in the literature.
Efruz Özlem Mersin, Mustafa Bahşi
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The Explicit Inverse of a Tridiagonal Matrix [PDF]
Mathematics of Computation, 1970 The closed form inverse of a tridiagonal matrix, which is a slight generalization of a matrix considered by D. Kershaw (Math. Comp., v. 23, 1969, pp. 189–191), is given in this note. If the matrix has integer elements, an integer multiple of the inverse can be computed by integer arithmetic, that is, without machine roundoff error.
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Tridiagonal Random Matrix: Gaussian Fluctuations and Deviations [PDF]
Journal of Theoretical Probability, 2016 This paper is devoted to the Gaussian fluctuations and deviations of the traces of tridiagonal random matrix. Under quite general assumptions, we prove that the traces are approximately normal distributed. Multi-dimensional central limit theorem is also obtained here.
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VanderLaan Circulant Type Matrices
Abstract and Applied Analysis, 2015 Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g-circulant matrices.
Hongyan Pan, Zhaolin Jiang
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, 2007 This is the first in a series of articles in which we study the rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation.
A D Alhaidari +12 more
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