Product of two diagonal entries of a 3-by-3 normal matrix
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DOI: 10.1016/j.laa.2018.01.003
Abstract: Abstract The set of product of two diagonal entries of 3-by-3 normal matrices unitarily similar to a diagonal matrix is a triangle if the diagonal entries form an acute-angled triangle inscribed to the unit circle. read more here.
Keywords: diagonal entries; entries normal; product two; normal matrix ... See more keywords
Nonnormal Hamiltonian dynamics in quantum systems and its realization on quantum computers
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DOI: 10.1103/physrevb.105.054304
Abstract: The eigenspectrum of a non-normal matrix, which does not commute with its Hermitian conjugate, is a central issue of non-Hermitian physics that has been extensively studied in the past few years. There is, however, another… read more here.
Keywords: normal matrix; quantum systems; quantum computers; non normal ... See more keywords
Certain Localization Regions for the Eigenvalues of a Normal Matrix
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DOI: 10.1134/s0965542519080098
Abstract: A number of localization regions that can be found by rational algorithms are indicated for the eigenvalues of a normal matrix. Rational algorithms are finite procedures using arithmetic operations only. read more here.
Keywords: eigenvalues normal; certain localization; regions eigenvalues; localization regions ... See more keywords