On the relation between XX^[✻] and X^[✻]X in an indefinite inner product space
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A load estimation algorithm based on k-means cluster analysis was developed. The algorithm applies cluster centres – of previously clustered load profiles – and distance functions to estimate missing and future measurements. Canberra, Manhattan, Euclidean, and Pearson correlation distances were investigated. Several case studies were implemented using daily and segmented load profiles of aggreg...
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For n n complex matrices A and an n n Hermitian matrix S, we consider the S-numerical range of A and the positive S-numerical range of A de ned by WS(A) = hAv; viS hv; viS : v 2 I Cn; hv; viS 6= 0
متن کاملNumerical ranges of an operator on an indefinite inner product space
For n n complex matrices A and an n n Hermitian matrix S, we consider the S-numerical range of A and the positive S-numerical range of A de ned by WS(A) = hAv; viS hv; viS : v 2 I Cn; hv; viS 6= 0
متن کاملOn Generalized Numerical Ranges of Operators on an Indefinite Inner Product Space
In this paper, numerical ranges associated to operators on an indefinite inner product space are investigated. Boundary generating curves, corners, shapes and computer generations of these sets are studied. In particular, the MurnaghanKippenhahn theorem for the classical numerical range is generalized.
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2007
ISSN: 1846-3886
DOI: 10.7153/oam-01-12