Results 41 to 50 of about 17,645 (222)
Tridiagonal matrices: Invertibility and conditioning
Linear Algebra and its Applications, 1992 The authors consider conditioning of a tridiagonal matrix \(T\), normalized to have unit diagonal, \(\tau_ 1, \dots, \tau_{n-1}\) on the superdiagonal and \(\sigma_ 1, \dots, \sigma_{n-1}\) on the subdiagonal. The cases \(\sigma_ i \tau_ i > 0\) for all \(i\), and \(\sigma_ i \tau_ i < 0\) for all \(i\), are analyzed in detail. An exact formula for the
BRUGNANO, LUIGI, TRIGIANTE, DONATO
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Perturbation series for Jacobi matrices and the quantum Rabi model [PDF]
Opuscula Mathematica, 2021 We investigate eigenvalue perturbations for a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum.
Mirna Charif, Lech Zielinski
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Inverse eigenvalue problems of tridiagonal symmetric matrices and tridiagonal bisymmetric matrices
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuan, Shifang, Liao, Anping, Lei, Yuan
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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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Linear Algebra and its Applications, 1994 Let \(A\) be an \(n \times n\) symmetric matrix with elements in a principal ideal domain \(R\). The author proves that if \(\text{det} A = d \neq 0\) then \(A\) is congruent to a tridiagonal matrix \[ \left[ \begin{matrix} c_ 1 & d_ 1 & & & \;\\ d_ 1 & c_ 2 & d_ 2 & & \;\\ & \ddots & \ddots & \ddots & \;\\ & & d_{n-2} & c_{n-1} & d_{n-1} \\ & & & d_{n-
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Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials
JTAM (Jurnal Teori dan Aplikasi Matematika)Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika +2 more
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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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Another proof of Pell identities by using the determinant of tridiagonal matrix
, 2011 In this paper, another proof of Pell identities is presented by using the determinant of tridiagonal matrices.
Bozkurt, Durmuş, Yaşar, Meral
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Improved Accuracy and Parallelism for MRRR-based Eigensolvers -- A Mixed Precision Approach [PDF]
, 2013 The real symmetric tridiagonal eigenproblem is of outstanding importance in numerical computations; it arises frequently as part of eigensolvers for standard and generalized dense Hermitian eigenproblems that are based on a reduction to tridiagonal form.
Bientinesi, Paolo +2 more
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Tridiagonal M-matrices whose group inverses are tridiagonal
Linear Algebra and its ApplicationsThis work has been partially supported by the Spanish Research Council (Ministerio de Ciencia e Innovación) under project PID2021-122501NB-I00, by the Universitat Politècnica de Catalunya under funds AGRUPS-UPC 2023 and 2024. K. Kranthi Priya is supported by an International Immersion Experience (IIE) Program and a research grant from the Office of ...
Encinas Bachiller, Andrés Marcos +2 more
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