Vandermonde Matrices on the Circle: Spectral Properties and Conditioning.
W. Gautschi, A. Córdova, ... (1990)
Numerische Mathematik
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W. Gautschi, A. Córdova, ... (1990)
Numerische Mathematik
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P. LANCASTER (1964)
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M. N. Lukić (1989)
Matematički Vesnik
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Wilhelm Heinrichs (1989/90)
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P. HENRICI (1962/63)
Numerische Mathematik
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R. M. Palaiya (1969)
Publications de l'Institut Mathématique
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J. DESCLOUX (1963)
Numerische Mathematik
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A. Pain (1971)
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Adam Czornik, Piotr Jurgas (2006)
International Journal of Applied Mathematics and Computer Science
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In this paper we show new formulas for the spectral radius and the spectral subradius of a set of matrices. The advantage of our results is that we express the spectral radius of any set of matrices by the spectral radius of a set of symmetric positive definite matrices. In particular, in one of our formulas the spectral radius is expressed by singular eigenvalues of matrices, whereas in the existing results it is expressed by eigenvalues.
M.ST. LYNN (1963)
Numerische Mathematik
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Ayman Shehata, Lalit Mohan Upadhyaya (2017)
Mathematica Bohemica
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The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula. Furthermore, we define a new polynomial associated with the Hermite-Hermite matrix polynomials and establish the matrix differential equation associated with these polynomials. We give the addition theorems, multiplication theorems and summation formula for the...