Results 91 to 100 of about 23,326 (218)
Singular matrices possessing the triangle property
Special MatricesIt is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the ...
Priya K. Kranthi, Sivakumar K. C.
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Matrix measures and random walks [PDF]
In this paper we study the connection between matrix measures and random walks with a tridiagonal block transition matrix. We derive sufficient conditions such that the blocks of the n-step transition matrix of the Markov chain can be represented as ...
Dette, Holger +3 more
core
On the spectrum of tridiagonal matrices with two-periodic main diagonal
Special MatricesWe find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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The pseudosymmetric tridiagonalization of an arbitrary real matrix
Linear Algebra and its Applications, 1990 AbstractThis paper presents an algorithm for similarly reducing an arbitrary real matrix to a pseudosymmetric tridiagonal one, discusses the possibility of overcoming breakdowns in the tridiagonalization process, and gives some methods. It also discusses the perturbation bounds of eigenvalues of a pseudosymmetric tridiagonal matrix.
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Inequalities on the Elements of the Inverse of a Certain Tridiagonal Matrix [PDF]
Mathematics of Computation, 1970 Inequalities are obtained for the elements in the inverse of a tridiagonal matrix with positive off-diagonal elements.
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On the Bicomplex $k$-Fibonacci Quaternions
Communications in Advanced Mathematical Sciences, 2019 In this paper, bicomplex $k$-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex $k$-Fibonacci quaternions are investigated.
Fügen Torunbalcı Aydın
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A method of solving a system of linear equations whose coefficients form a tridiagonal matrix [PDF]
, 1964 T. C. T. Ting
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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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Complex Factorizations of the Lucas Sequences via Matrix Methods
Journal of Applied Mathematics, 2014 Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
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The Double Dyson Index β Effect in Non-Hermitian Tridiagonal Matrices. [PDF]
Entropy (Basel), 2023 Goulart CA, Pato MP.
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