Logarithm of a Non-Singular Complex Matrix via the Dunford-Taylor Integral
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DOI: 10.3390/axioms11020051
Abstract: Using the Dunford–Taylor integral and a representation formula for the resolvent of a non-singular complex matrix, we find the logarithm of a non-singular complex matrix applying the Cauchy’s residue theorem if the matrix eigenvalues are… read more here.
Keywords: dunford taylor; non singular; taylor integral; matrix ... See more keywords
Inversion of Tridiagonal Matrices Using the Dunford-Taylor's Integral
Sign Up to like & getrecommendations! Published in 2021 at "Symmetry"
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