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New equivalent resistance formula of [Formula: see text] rectangular resistor network represented by Chebyshev polynomials. [PDF]
Sci RepWang R +4 more
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Quantum Cosmology in Krylov Space: Complexity and Entropy. [PDF]
Entropy (Basel)Motaharfar M, Siebersma MR, Singh P.
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A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
SIAM Journal on Matrix Analysis and Applications, 1992In this paper some results are reviewed concerning the characterization of inverses of symmetric tridiagonal and block tridiagonal matrices as well as results concerning the decay of the elements of the inverses. These results are obtained by relating the elements of inverses to elements of the Cholesky decompositions of these matrices.
Gerard Meurant
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Parallel Factorizations for Tridiagonal Matrices
SIAM Journal on Numerical Analysis, 1993 The authors analyze the problem of solving tridiagonal linear systems on parallel computers. A wide class of efficient parallel solvers is derived by considering different parallel factorizations of partitioned matrices. These solvers have a minimum requirement of data transmission.
P. AMODIO, BRUGNANO, LUIGI, T. POLITI
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Tridiagonal M-matrices whose inverse is tridiagonal and related pentadiagonal matrices
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreras, A., Peña, J. M.
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Positivity of Block Tridiagonal Matrices
SIAM Journal on Matrix Analysis and Applications, 1998 This paper relates disconjugacy of linear Hamiltonian difference systems (LHdS) (and hence positive definiteness of certain discrete quadratic functionals) to positive definiteness of some block tridiagonal matrices associated with these systems and functionals.
Martin Bohner, Ondrej Doslý
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Shifted Fourier Matrices and Their Tridiagonal Commutors
SIAM Journal on Matrix Analysis and Applications, 2003It is known that, for $ n \ge 3 $, the n × n Fourier matrix $ {F} = n^{-1/2} [e^{2 \pi {{\text{\textit{\r{\i}}}}} \mu \nu/n}] $ ($ 0 \le \mu < n $, $ 0 \le \nu < n $) commutes with a nonscalar tridiagonal matrix T and also with another matrix X that is "almost" tridiagonal.
Dale Mugler
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