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Jacobi’s Method for Skew-Symmetric Matrices
SIAM Journal on Matrix Analysis and Applications, 1993A formula is derived for a rotation matrix which reduces orthogonally a \(4\times 4\) real skew-symmetric matrix \(A\) to real Schur form. A Jacobi type method is used. By applying the \(4\times 4\) matrices the off- diagonal part of the matrix is annihilated.
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The Jacobi method for real symmetric matrices
Numerische Mathematik, 1966As is well known, a real symmetric matrix can be transformed iteratively into diagonal form through a sequence of appropriately chosen elementary orthogonal transformations (in the following called Jacobi rotations): $${A_k} \to {A_{k + 1}} = U_k^T{A_k}{U_k}{\text{ (}}{A_0}{\text{ = given matrix),}}$$ where U k = U k(p,q, φ) is an orthogonal ...
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Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials
Journal of Scientific Computing, 2021BEATRIZ Rubio-Serrano +2 more
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On the Spectrum of Jacobi Matrices with Periodic Coefficients
It is well known that for each strictly monotone list of . n real numbers, there are infinitely many Jacobi matrices of order. n whose eigenvalues are the entries of the list, along with a unique bisymmetric Jacobi matrix that satisfies this property.A. M. Encinas, M. J. Jiménez, S. Mondal
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The Jacobi Method for Real Symmetric Matrices
Journal of the ACM, 1959Herman H. Goldstine +2 more
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New Generalizations of Jacobi Matrices
SIAM Journal on Applied Mathematics, 1966openaire +2 more sources
Fast and accurate algorithms for Jacobi–Stirling matrices
Applied Mathematics and Computation, 2014Juan Manuel Pena, Jorge Delgado
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A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices
Applied Mathematics and Computation, 2015Said Kouachi, CARLOS M Da Fonseca
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