Results 1 to 10 of about 475,064 (272)
Tridiagonal matrices with nonnegative entries [PDF]
Linear Algebra and its Applications, 2011 15 ...
Kazumasa Nomura, Paul Terwilliger
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Explicit inverses of some tridiagonal matrices [PDF]
Linear Algebra and its Applications, 2001 AbstractWe give explicit inverses of tridiagonal 2-Toeplitz and 3-Toeplitz matrices which generalize some well-known results concerning the inverse of a tridiagonal Toeplitz matrix.
Carlos M. da Fonseca, J. Petronilho
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Determinants of block tridiagonal matrices [PDF]
Linear Algebra and its Applications, 2008 8 pages, final form.
Molinari, Luca G.
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Linear Algebra and its Applications, 1994 AbstractThe problem considered here is the reduction of an n × n symmetric matrix A over a principal ideal ring R to a tridiagonal form with prescribed sub- and superdiagonal elements. It is shown for example that if A is unimodular, then all but the last pair of sub- and superdiagonal elements may be taken to be 1.
Morris Newman
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Enumeration of simple random walks and tridiagonal matrices [PDF]
, 2002 We present some old and new results in the enumeration of random walks in one dimension, mostly developed in works of enumerative combinatorics. The relation between the trace of the $n$-th power of a tridiagonal matrix and the enumeration of weighted ...
G. M. Cicuta +2 more
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Inverses of quasi-tridiagonal matrices [PDF]
Linear Algebra and its Applications, 1984 AbstractDiscretizations in various types of problems lead to quasi-tridiagonal matrices. In this paper, the inverse of a (nonsingular) quasi-tridiagonal matrix is obtained. In addition, a necessary and sufficient condition for a block matrix to have a quasi-tridiagonal inverse is derived.
Rizvi, S.A.H.
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The complete positivity of symmetric tridiagonal and pentadiagonal matrices [PDF]
Special Matrices, 2022 We provide a decomposition that is sufficient in showing when a symmetric tridiagonal matrix AA is completely positive. Our decomposition can be applied to a wide range of matrices.
Cao Lei, McLaren Darian, Plosker Sarah
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The Double Dyson Index β Effect in Non-Hermitian Tridiagonal Matrices [PDF]
Entropy, 2023 The Dyson index, β, plays an essential role in random matrix theory, as it labels the so-called “three-fold way” that refers to the symmetries satisfied by ensembles under unitary transformations. As is known, its 1, 2, and 4 values denote the orthogonal,
Cleverson A. Goulart, Mauricio P. Pato
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Tridiagonal doubly stochastic matrices
Linear Algebra and its Applications, 2004 AbstractWe study the facial structure of the polytope Ωtn in Rn×n consisting of the tridiagonal doubly stochastic matrices of order n. We also discuss some subclasses of Ωtn with focus on spectral properties and rank formulas. Finally we discuss a connection to majorization.
Geir Dahl
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Positive Integer Powers of Certain Tridiagonal Matrices and Corresponding Anti-Tridiagonal Matrices
Advances in Mathematical Physics, 2022 In this paper, we firstly derive a general expression for the entries of the mth (m∈ℕ) power for two certain types of tridiagonal matrices of arbitrary order. Secondly, we present a method for computing the positive integer powers of the anti-tridiagonal
Mohammad Beiranvand +1 more
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