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(23) where (A cdot)), (C cdot)), (D cdot)), (E cdot)) are given matrix valued deterministic functions.
The vector or matrix valued PolSAR data brings new issues such as data modeling and computational complexity.
The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one-dimensional) orthogonal polynomials.
Special attention is paid to the class of canonical integral systems with matrizants that are strongly regular J-inner matrix valued functions in the sense introduced in [7].
We show that these modules are always completely bounded with the bound obtained as the matrix valued analogue of a certain scalar valued extremal problem.
Matrix valued inner functions on the bidisk have a number of natural subspaces of the Hardy space on the torus associated to them.
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These directional interaction terms are matrix-valued allowing to apply the standard orthogonal Cartan Lie-algebra decomposition.
A suboptimal H2/H∞ controller design is given based on a convex optimization approach and an iterative algorithm is proposed to solve the four coupled matrix-valued equations.
A necessary and sufficient condition for the existence of H2/H∞ control is presented, which transforms the H2/H∞ controller design into solving four coupled matrix-valued equations.
HereAis a Lipschitz continuous, uniformly elliptic matrix-valued map andBis merelyμ-square integrable.
In the development, a means to evaluate the second partials of functions with respect to matrix-valued parameters is introduced.
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Justyna Jupowicz-Kozak
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