Numerical application of the mathematical spectra to the problem of eigenvalues of matrices
K. Orlov (1971)
Matematički Vesnik
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K. Orlov (1971)
Matematički Vesnik
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Wen Yan, Jicheng Tao, Zhao Lu (2016)
Special Matrices
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In this paper we studied the classical numerical range of matrices in sp(2n, C). We obtained some result on the relationship between the numerical range of a matrix in and that [...] of its diagonal block, the singular values of its off-diagonal block A2.
Natalia Bebiano, J. da Providência, A. Nata, J.P. da Providência (2015)
Open Mathematics
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Consider the Hilbert space (H,〈• , •〉) equipped with the indefinite inner product[u,v]=v*J u,u,v∈ H, where J is an indefinite self-adjoint involution acting on H. The Krein space numerical range WJ(T) of an operator T acting on H is the set of all the values attained by the quadratic form [Tu,u], with u ∈H satisfying [u,u]=± 1. We develop, implement and test an alternative algorithm to compute WJ(T) in the finite dimensional case, constructing 2 by 2 matrix compressions of T and their...
Gneiting, Tilmann, Konis, Kjell, Richards, Donald (2001)
Experimental Mathematics
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K. Florek (1965)
Applicationes Mathematicae
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Li, Chi-Kwong, Tsing, Nam-Kui, Uhlig, Frank (1996)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Mohammed Al-Dolat, Khaldoun Al-Zoubi, Mohammed Ali, Feras Bani-Ahmad (2016)
Open Mathematics
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Michal Zajac (1978)
Mathematica Slovaca
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Bebiano, Natália (1985-1986)
Portugaliae mathematica
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Li, Chi-Kwong, Rodman, Leiba (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Zhang, Xian (2004)
Applied Mathematics E-Notes [electronic only]
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Mohammad Ali Ardalani (2014)
Studia Mathematica
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We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.
Anita Dobek (2008)
Discussiones Mathematicae Probability and Statistics
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