Results 91 to 100 of about 1,655,330 (212)
Inversion of Jacobi's tridiagonal matrix
Computers & Mathematics with Applications, 1994 Explicit formulae are given for the elements of the inverse of a tridiagonal matrix (symmetric or not). The expressions contain elements of the original matrix, determinants of its principal minors and a related sequence of quantities defined inductively from the elements of the original matrix.
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Explicit spectrum of a circulant-tridiagonal matrix with applications
, 2019 We consider a circulant-tridiagonal matrix and compute its determinant by using generating function method. Then we explicitly determine its spectrum.
Emrah Kilic +5 more
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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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Special Matrices, 2019 Let F denote a field and let V denote a vector space over F with finite positive dimension. Consider a pair A, A* of diagonalizable F-linear maps on V, each of which acts on an eigenbasis for the other one in an irreducible tridiagonal fashion.
Nomura Kazumasa, Terwilliger Paul
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Tridiagonal M-matrices whose inverse is tridiagonal and related pentadiagonal matrices
, 2019 A necessary and sufficient condition in order to guarantee that the inverse of a tridiagonal M-matrix is tridiagonal is provided.
Barreras, Álvaro +2 more
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Journal of Mathematical and Fundamental SciencesThis paper presents an algorithm to construct a tridiagonal matrix factored by bidiagonal matrices with prescribed eigenvalues and specified matrix entries.
Koichi Kondo
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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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Block diagonalization of (p, q)-tridiagonal matrices
Special MatricesIn this article, we study the block diagonalization of (p,q)\left(p,q)-tridiagonal matrices and derive closed-form expressions for the number and structure of diagonal blocks as functions of the parameters pp, qq, and nn. This reduction enables efficient
Manjunath Hariprasad
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Matrix Transformations and Quasi-Newton Methods
International Journal of Mathematics and Mathematical Sciences, 2007 We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the forms sξ, sξ∘, sξ(c), or lp(ξ).
Boubakeur Benahmed +2 more
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On Computing Eigenvectors of Symmetric Tridiagonal Matrices
, 2019 The computation of the eigenvalue decomposition of symmetricmatrices 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 ...
Taeter, Harold +8 more
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