On the spectrum of tridiagonal matrices with two-periodic main diagonal
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DOI: 10.1515/spma-2024-0009
Abstract: Abstract We 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-… read more here.
Keywords: tridiagonal matrices; spectrum tridiagonal; main diagonal; two periodic ... See more keywords
Ninety years of k-tridiagonal matrices
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DOI: 10.1556/012.2020.57.3.1466
Abstract: This survey revisits Jenő Egerváry and Otto Szász’s article of 1928 on trigonometric polynomials and simple structured matrices focussing mainly on the latter topic. In particular, we concentrate on the spectral theory for the first… read more here.
Keywords: ninety years; years tridiagonal; tridiagonal matrices; article ... See more keywords
Inversion of Tridiagonal Matrices Using the Dunford-Taylor's Integral
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DOI: 10.3390/sym13050870
Abstract: We show that using Dunford-Taylor’s integral, a classical tool of functional analysis, it is possible to derive an expression for the inverse of a general non-singular complex-valued tridiagonal matrix. The special cases of Jacobi’s symmetric… read more here.
Keywords: inversion tridiagonal; taylor integral; dunford taylor; using dunford ... See more keywords