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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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The eigenvalues of a tridiagonal matrix in biogeography [PDF]
Applied Mathematics and Computation, 2011 In investigating a certain optimization problem in biogeography in [``Biogeography-based optimization'', IEEE Trans. Evol. Comput. 12, No. 6, 702--713 (2008)], \textit{D. Simon} encountered a certain tridiagonal matrix with a special structure, and made a conjecture regarding its eigenvalues.
Boris Igelnik, Dan Simon
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The Explicit Inverse of a Tridiagonal Matrix [PDF]
Mathematics of Computation, 1970 The closed form inverse of a tridiagonal matrix, which is a slight generalization of a matrix considered by D. Kershaw ( Math. Comp. , v. 23, 1969, pp. 189–191), is given in this note. If the matrix has integer elements, an integer multiple of the inverse can be computed by integer arithmetic,
P. Schlegel
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Fast triangularization of a symmetric tridiagonal matrix
Journal of Parallel and Distributed Computing, 1989 A simple linear systolic array is presented for triangularizing a symmetric tridiagonal matrix by Gaussian Elimination using nearest neighbor pivoting. The array consists of three cells requiring an area bounded by four simple inner product cells. The design can compute the elimination in time 2n + k1 for the simple point case and using an implicit 2*2
David J. Evans 0001, Graham M. Megson
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The inverse of a tridiagonal matrix
Linear Algebra and its Applications, 2001 The author obtains explicit formulae for the elements of the inverse of a general tridiagonal matrix by deriving the explicit solution of a second-order linear nonhomogeneous difference equation with variable coefficients, and then applying the solution to a boundary value problem with zero boundary values.
Mallik, Ranjan K., Ranjan K. Mallik
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Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix
Numerische Mathematik, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carla Ferreira 0002 +2 more
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Eigenvalues of 2-tridiagonal Toeplitz matrix [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2015 In this article an explicit formula for eigenvalues of a 2-tridiagonal Toeplitz matrix can be derived on the basis of a certain relation between the determinant of this matrix and the determinant of a pertinent tridiagonal matrix.
Jolanta Borowska, Lena Łacińska
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PARSEC.py: A Python-Based Real-Space Kohn-Sham Density Functional Theory Code Accelerated by Machine Learned Charge Density. [PDF]
J Comput ChemPARSEC.py is a Python‐based real‐space Kohn–Sham DFT framework that leverages the Python scientific ecosystem for transparent, modular integration of machine‐learned densities and GPU acceleration. This unified design enables more efficient and scalable first‐principles simulations of large chemical and materials systems. ABSTRACT PARSEC.py is a Python‐
Zhang Z +4 more
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DETERMINAN SUATU MATRIKS TOEPLITZ K-TRIDIAGONAL MENGGUNAKAN METODE REDUKSI BARIS DAN EKSPANSI KOFAKTOR [PDF]
, 2021 This paper discusses the determinants of a k-tridiagonal Toeplitz matrix using row reduction and cofactor expansion methods. The analysis was carried out recursively from the general form of the determinant of the tridiagonal Toeplitz matrix, the ...
Yahya, Lailany +7 more
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G-tridiagonal majorization on $\textbf {M}_{n,m}$
, 2021 summary:For $X,Y\in \textbf {M}_{n,m}$, it is said that $X$ is \emph {g-tridiagonal} majorized by $Y$ (and it is denoted by $X\prec _{gt}Y$) if there exists a tridiagonal g-doubly stochastic matrix $A$ such that $X=AY$.
Sabzvari, Mahdi +2 more
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