Results 51 to 60 of about 475,064 (272)
On the inverses of general tridiagonal matrices
Linear Algebra and its Applications, 2010 AbstractIn this work, the sign distribution for all inverse elements of general tridiagonal H-matrices is presented. In addition, some computable upper and lower bounds for the entries of the inverses of diagonally dominant tridiagonal matrices are obtained.
Hong Li +3 more
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On periodic block-tridiagonal matrices
Linear Algebra and its Applications, 1992 AbstractPeriodic block-tridiagonal matrices are defined, and conditions are given for factorizing their characteristic polynomial by means of the zeros of Chebyshev polynomials of the second kind. These conditions are expressed by the block centrosymmetry of certain submatrices along the main diagonal.
ROMANI, FRANCESCO, P. ROZSA
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Tridiagonal Matrices with Permanent Values Equal to k-Jacobsthal Sequence
, 2020 We provide a proof that the permanents of certain tridiagonal matrices are natural numbers in a k-Jacobsthal sequence. As a consequence, such matrices are convertible.
P. Kasempin +2 more
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On the convergence of random tridiagonal matrices to stochastic semigroups [PDF]
Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2019 We develop an improved version of the stochastic semigroup approach to study the edge of $\beta$-ensembles pioneered by Gorin and Shkolnikov, and later extended to rank-one additive perturbations by the author and Shkolnikov.
P. Lamarre
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The numerical range of some periodic tridiagonal operators is the convex hull of the numerical ranges of two finite matrices [PDF]
Linear and multilinear algebra, 2021 In this paper, we prove a conjecture stated by the first two authors establishing the closure of the numerical range of a certain class of n + 1-periodic tridiagonal operators as the convex hull of the numerical ranges of two tridiagonal matrices ...
Benjam'in A. Itz'a-Ortiz +2 more
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On Quaternion Gaussian Bronze Fibonacci Numbers
Annales Mathematicae Silesianae, 2022 In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided.
Catarino Paula, Ricardo Sandra
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On the eigenvalues of some tridiagonal matrices [PDF]
Journal of Computational and Applied Mathematics, 2007 A solution is given for a problem on eigenvalues of some symmetric tridiagonal matrices suggested by William Trench. The method presented can be generalizable to other problems.
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On some reciprocal matrices with elliptical components of their Kippenhahn curves
Special Matrices, 2021 By definition, reciprocal matrices are tridiagonal n-by-n matrices A with constant main diagonal and such that ai,i+1ai+1,i= 1 for i = 1, . . ., n − 1.
Jiang Muyan, Spitkovsky Ilya M.
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Inverse eigenvalue problems of tridiagonal symmetric matrices and tridiagonal bisymmetric matrices
Computers & Mathematics with Applications, 2008 AbstractThe problem of generating a matrix A with specified eigenpairs, where A is a tridiagonal symmetric matrix, is presented. A general expression of such a matrix is provided, and the set of such matrices is denoted by SE. Moreover, the corresponding least-squares problem under spectral constraint is considered when the set SE is empty, and the ...
Anping Liao, Shifang Yuan, Yuan Lei
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Tridiagonal Matrices and Spectral Properties of Some Graph Classes
, 2020 A graph is called a chain graph if it is bipartite and the neighbourhoods of the vertices in each colour class form a chain with respect to inclusion. In this paper we give an explicit formula for the characteristic polynomial of any chain graph and we ...
M. Anđelić +3 more
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