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He D, Zou H.
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Ren H.
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Completions of positive semidefinite operator matrices
This chapter deals with positive definite and semidefinite completions of partial operator matrices. It considers the banded case in Section 2.1, the chordal case in Section 2.2, the Toeplitz case in Section 2.3, and the generalized banded case and the operator-valued positive semidefinite chordal case in Section 2.6.
Mihály Bakonyi, Hugo J. Woerdeman
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A Measure Of Asymmetry For Positive Semidefinite Matrices
Optimization, 2003It is known that a continuous map is the gradient of a convex function if and only if it is cyclically monotone. Also, a differentiable map F is the gradient of a function if and only if the matrices F ′(x) are symmetric for all x in the domain. Based on this connection between symmetry and monotonicity, we define a measure of asymmetry for positive ...
Jean-Pierre Crouzeix
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