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Diagonal bi-acts over semigroups with finiteness conditions
Semigroup Forum, 2014It is proved that if the diagonal bi-act \(_S(S\times S)_S\) over an infinite epigroup \(S\) is finitely generated, then \(S=G\sqcup N\) (disjoint union), where \(G\) is an infinite group with finitely many conjugacy classes and \(N\) a certain ideal of \(S\).
Kozhukhov, I. B. +1 more
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On determinantal diagonal dominance conditions
Journal of Mathematical Sciences, 2011The paper suggests sufficient nonsingularity conditions for matrices in terms of certain determinantal relations of diagonal dominance type, which improve and generalize some known results. These conditions are used to describe new eigenvalue inclusion sets and to derive new two-sided bounds on the determinants of matrices satisfying them. Bibliography:
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Pseudoblock conditions of diagonal dominance
Journal of Mathematical Sciences, 2006Summary: The paper presents new pseudoblock diagonal-dominance conditions for matrices with fixed block partitioning, which generalize the pointwise \(k\)th-order diagonal-dominance conditions and pointwise circuit diagonaldominance conditions. For matrices satisfying pseudoblock conditions, the singularity/nonsingularity problem is considered.
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Condition under which stress matrix is diagonal
Rheologica Acta, 1970The conditions under which the stress matrix of the flow of a viscoelastic material may be diagonal are examined.
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Complete diagonalization of thermodynamic stability conditions
Physica A: Statistical Mechanics and its Applications, 1979Abstract It is shown that the local existence of certain thermodynamic potentials allows for the complete diagonalization of thermodynamic stability conditions, so that only one-dimensional extrema have to be investigated.
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On the use of diagonal control versus decoupling for ill-conditioned processes
Automatica, 1997We argue that ill-conditioned processes do not necessarily preclude the use of decoupling control. This applies also if the process is ill-conditioned in the crossover frequency range of a diagonal controller. Therefore the rule that one should never use a decoupler for ill-conditioned plants is misleading. The investigation is based on a discussion of
Ole B. Gjøsæter, Bjarne A. Foss
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On diagonal N-representablity problem II: Sufficient conditions
Journal of Computational Methods in Sciences and Engineering, 2013A set of transformational matrices (TM) is introduced which convert the weights of a mixed state into the diagonal elements of reduced density matrix (RDM). The formulae for the products of TM are deduced; the singular values of TM are calculated and the corresponding spectral expansion is built.
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Diagonal stability of matrices with cyclic structure and the secant condition
Systems & Control Letters, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Diagonal conditions for lattice-valued uniform convergence spaces
Fuzzy Sets and Systems, 2013We define diagonal conditions for lattice-valued uniform convergence spaces and show that these conditions are preserved under initial constructions. Further, the forgetful functor from the category of stratified lattice-valued uniform convergence spaces into the category of stratified lattice-valued limit spaces maps these conditions to corresponding ...
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Connections between diagonal stability and the secant condition for cyclic systems
2006 American Control Conference, 2006We consider a class of systems with a cyclic interconnection structure that arises, among other examples, in dynamic models for certain biochemical reactions. We first show that a "secant condition" for stability, derived earlier in the literature, is in fact a necessary and sufficient condition for diagonal stability of the corresponding class of ...
Murat Areak, Eduardo D. Sontag
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