Results 101 to 110 of about 442,498 (206)
Sensitivity Analysis of Eigenvalues for PDNT Toeplitz Matrices
AxiomsThis study focuses on a class of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, mainly exploring their eigenvalue sensitivity and inverse problems. By the explicit expressions for eigenvalues and eigenvectors of PDNT Toeplitz matrices,
Zhaolin Jiang +3 more
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Inversion of tridiagonal matrices
Numerische Mathematik, 1982 This paper presents a simple algorithm for inverting nonsymmetric tridiagonal matrices that leads immediately to closed forms when they exist. Ukita's theorem is extended to characterize the class of matrices that have tridiagonal inverses.
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Structured Distance to Normality of Dirichlet–Neumann Tridiagonal Toeplitz Matrices
AxiomsThis paper conducts a rigorous study on the spectral properties and operator-space distances of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, with emphasis on their asymptotic behaviors. We establish explicit closed-form solutions for
Zhaolin Jiang +3 more
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Trace of the Positive Integer Powers (n-1)-Tridiagonal Toeplitz Matrix n×n
JTAM (Jurnal Teori dan Aplikasi Matematika)The trace of a matrix is obtained by summing the elements along the main diagonal of a square matrix. The matrix used in this study is a Toeplitz (n-1)-tridiagonal matrix of order n×n.
Fitri Aryani +3 more
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On Computing Eigenvectors of Symmetric Tridiagonal Matrices
, 2019 The computation of the eigenvalue decomposition of symmetric matrices is one of the most investigated problems in numerical linear algebra. For a matrix of moderate size, the customary procedure is to reduce it to a symmetric tridiagonal one by means of an orthogonal similarity transformation and then compute the eigendecomposition of the tridiagonal ...
Mastronardi, Nicola +2 more
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Inverse Tridiagonal Z-Matrices
In this paper, we consider matrices whose inverses are tridiagonal Z--matrices. Based on a characterization of symmetric tridiagonal matrices by Gantmacher and Krein, we show that a matrix is the inverse of a tridiagonal Z--matrix if and only if, up to a
J. J. Mcdonald +5 more
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Toeplitz matrices commuting with tridiagonal matrices
Linear Algebra and its Applications, 1981 Abstractwe prove that if R is a nonscalar Toeplitz matrix Ri, j=r∦i−j∦ which commutes with a tridiagonal matrix with simple spectrum, then rkr1=uk-1r2r1cos puk-1(cos p), k=4, 5,…, with Uk the Chebychev polynomial of the second kind, where p is determined from cos p=12r21−r1r3r22−r1r3.
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Tridiagonal matrices representations of generalized bivariate complex polynomials
Journal of Innovative Applied Mathematics and Computational SciencesThis paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants.
K. L. Verma
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A fourth-order arithmetic average compact finite-difference method for nonlinear singular elliptic PDEs on a 3D smooth quasi-variable grid network. [PDF]
MethodsX, 2023 Jha N, Singh B.
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Tridiagonal Symmetries of Models of Nonequilibrium Physics
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We study the boundary symmetries of models of nonequilibrium physics where the steady state behaviour strongly depends on the boundary rates. Within the matrix product state approach to many-body systems the physics is described in terms of matrices ...
Boyka Aneva
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