Results 201 to 210 of about 22,900 (243)
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$q$-Deformation of the Kac-Sylvester tridiagonal matrix
Proceedings of the American Mathematical Society, 2021The main subject of the paper is a tridiagonal matrix \(\mathbf{S}\) generalizing the Kac-Sylvester matrix and its eigenvalues and eigenvectors. The authors focus on an \((n+1)\times (n+1)\) matrix which is a four-parameter generalization of the \(q\)-deformed tridiagonal matrix, with the three diagonals given by a) main diagonal: \(a[n]+b[0], a[n-1]+b[
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Tridiagonalization of a symetric band matrix
Numerische Mathematik, 1968The well known method proposed by Givens [1] reduces a full symmetric matrix A = (a ik ) of order n by a sequence of appropriately chosen elementary orthogonal transformations (in the following called Jacobi rotations) to triput diagonal form. This is achieved by (n - 1)(n - 2)/2 Jacobi rotations, each of which annihilates one of the elements a ik with
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The recreation of a tridiagonal matrix
USSR Computational Mathematics and Mathematical Physics, 1987Abstract The problem of the recreation of a symmetric Jacobian matrix using the nodes and weights of the orthogonality of polynomials is considered. An algorithm is proposed which is based on a triangular expansion of a van der Mond matrix. The high efficiency of this algorithm is confirmed by numerical calculations.
I.V. Koshcheyeva, Yu.I. Kuznetsov
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Eigenvalue problem for an infinite tridiagonal matrix
Journal of Mathematical Physics, 1981A method is developed for the calculation of the eigenvectors of an infinite tridiagonal matrix. Possible application of this method to study the problem of localization in a disordered linear chain is also discussed.
Wongtawatnugool, C. +2 more
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Matrix Measures and Random Walks with a Block Tridiagonal Transition Matrix
SIAM Journal on Matrix Analysis and Applications, 2007Summary: We study the connection between matrix measures and random walks with a block tridiagonal transition matrix. We derive sufficient conditions such that the blocks of the \(n\)-step block tridiagonal transition matrix of the Markov chain can be represented as integrals with respect to a matrix valued spectral measure.
Dette, Holger +3 more
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The Inverse of a Tridiagonal Matrix
1972Abstract : The closed form inverse of a fairly general tridiagonal matrix is given. The restriction is that the off-diagonal elements in the tridiagonal band be nonzero. If the elements of the matrix are integers, where the upper off-diagonal elements are equal and the lower off-diagonal elements are equal, then an integer multiple of each element of ...
William C. Taylor, Palmer R. Schlegel
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An explicit inverse of a tridiagonal matrix
International Journal of Computer Mathematics, 1983An explicit expression for the inverse of an invertible, real tridiagonal matrix is obtained, and its principal structural properties are determined. An efficient and stable algorithm is developed by utilising these properties.
S.R. Vatsya, H.O Pritchard
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An inversion algorithm for general tridiagonal matrix
Applied Mathematics and Mechanics, 2009An algorithm for the inverse of a general tridiagonal matrix is presented. For a tridiagonal matrix having the Doolittle factorization, an inversion algorithm is established. The algorithm is then generalized to deal with a general tridiagonal matrix without any restriction.
Rui-sheng Ran +3 more
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On the inverse of a general tridiagonal matrix
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Perturbation of a Tridiagonal Stability Matrix
Mathematics Magazine, 1994(1994). Perturbation of a Tridiagonal Stability Matrix. Mathematics Magazine: Vol. 67, No. 2, pp. 124-127.
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