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Let R be a commutative complex Banach algebra with the involution ·⋆ and suppose that A ∈ Rn×n , B ∈ Rn×m , C ∈ Rp×n . The question of when the Riccati equation PBB⋆ ...
Krishnamoorthy, Thulasiraman and Swamy [Minimum order graphs with specified diameter, connectivity and regularity, Networks 19 (1989) 25–46] showed that a δ-regular graph with...
—In this paper necessary and sufficient conditions are stated for the Craig-Sakamoto equation det(I − sA − tB) = det(I − sA) det(I − tB), for all scalars s, t. Moreover, ...
In the paper [4] a structure of operation locally internal on some subset of domain is given. Here we present additional properties of such operation and sufficient conditions to ...
In this paper we present a Lagrange-multiplier formulation of discrete constrained optimization problems, the associated discrete-space first-order necessary and sufficient condit...
We provide sufficient conditions that formally guarantee that the floating-point computation of a polynomial evaluation is faithful. To this end, we develop a formalization of �...