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Fast triangularization of a symmetric tridiagonal matrix
Journal of Parallel and Distributed Computing, 1989A simple linear systolic array is presented for triangularizing a symmetric tridiagonal matrix by Gaussian Elimination using nearest neighbor pivoting. The array consists of three cells requiring an area bounded by four simple inner product cells. The design can compute the elimination in time 2n + k1 for the simple point case and using an implicit 2*2
D.J. Evans, G.M. Megson
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On a conjecture about a tridiagonal matrix
Journal of Information and Optimization Sciences, 2020In this note we answer to a recent conjecture posed by Q.M. Al-Hassan on a factorization for the characteristic polynomial of the tridiagonal matrix with zero main diagonal and all 1’s sub- and sup...
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Calculation of the Eigenvalues of a Tridiagonal Hermitian Matrix
Journal of Mathematical Physics, 1961For real symmetric or Hermitian matrices with tridiagonal form, the secular equation may be written as a continued fraction equation f(λ)=0. f(λ) is a member of a recursively defined sequence R(n)(λ) of n continued fractions if the secular equation is of the nth order. The basis for a new method of computing the eigenvalues of such tridiagonal matrices
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Reconstruction of a tridiagonal matrix
Two algorithms are given for the task of reconstructing certain symmetric tri-diagonal Jacobi matrices, needed in connection with orthogonal polynomials. Both algorithms are based on a factorization of the Vandermonde matrix, and both necessitate the solution of a sequence of linear systems of increasing order, which may be accomplished through a ...Koshcheeva, I. V., Kuznetsov, Yu. I.
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Face recognition using tridiagonal matrix enhanced multivariance products representation
AIP Conference Proceedings, 2017This study aims to retrieve face images from a database according to a target face image. For this purpose, Tridiagonal Matrix Enhanced Multivariance Products Representation (TMEMPR) is taken into consideration. TMEMPR is a recursive algorithm based on Enhanced Multivariance Products Representation (EMPR).
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
exaly
Spectral properties of one infinite tridiagonal matrix
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2021Galina Valerievna Garkavenko +1 more
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