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Schrödinger’s tridiagonal matrix [PDF]
Special Matrices, 2021 In the third part of his famous 1926 paper ‘Quantisierung als Eigenwertproblem’, Schrödinger came across a certain parametrized family of tridiagonal matrices whose eigenvalues he conjectured.
Kovačec Alexander
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ANALYTICAL INVERSE FOR THE SYMMETRIC CIRCULANT TRIDIAGONAL MATRIX [PDF]
Far East Journal of Applied Mathematics, 2018 Finding the inverse of a matrix is an open problem especially when it comes to engineering problems due to their complexity and running time (cost) of matrix inversion algorithms. An optimum strategy to invert a matrix is, first, to reduce the matrix to a simple form, only then beginning a mathematical procedure.
Seyyed Mostafa Mousavi Janbeh Sarayi +3 more
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Calculations on Matrix Transformations Involving an Infinite Tridiagonal Matrix [PDF]
Axioms, 2021 Given any sequence z=znn≥1 of positive real numbers and any set E of complex sequences, we write Ez for the set of all sequences y=ynn≥1 such that y/z=yn/znn≥1∈E; in particular, sz0 denotes the set of all sequences y such that y/z tends to zero. Here, we
Ali Fares, Ali Ayad, Bruno de Malafosse
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Condition Number of Random Tridiagonal Toeplitz Matrix [PDF]
, 2023 In this manuscript it is considered the eigenvalues $λ_j$ of a random tridiagonal Toeplitz matrix $T$. We study the asymptotic behavior of the joint distribution of $({|λ|_{\min} ,|λ|_{\max}})$. From this, we obtain the asymptotic distribution of the condition number when $T$ is symmetric.
Paulo Manrique-Mirón
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Combined Matrix of a Tridiagonal Toeplitz Matrix
AxiomsIn this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory.
Begoña Cantó +2 more
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Eigenvalues of 2-tridiagonal Toeplitz matrix [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jolanta Borowska, Lena Łacińska
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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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The LU-decomposition of Lehmer's tridiagonal matrix [PDF]
, 2018 The LU-decomposition of Lehmer's tridiagonal matrix is first guessed, then proved, which leads to an evaluation of the determinant.
Helmut Prodinger
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Explicit inverse of a tridiagonal ( p , r )-Toeplitz matrix [PDF]
Linear Algebra and its Applications, 2017 Peer ...
A.M. Encinas +1 more
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Some Tridiagonal Matrix of the Repunit Sequence
Latin American Journal of MathematicsThis paper explores the connection between tridiagonal matrices and the repunit sequence, which is a type of Horadam sequence, and aims to establish new representations of repunit sequences using distinct tridiagonal matrices and their determinants. Motivated by some work that relates tridiagonal matrices to second-order linear recurrences, we present ...
Eudes Antônio Costa +2 more
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