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A sequential semidefinite programming method and an application in passive reduced-order modeling

open access: yes, 2005
We consider the solution of nonlinear programs with nonlinear semidefiniteness constraints. The need for an efficient exploitation of the cone of positive semidefinite matrices makes the solution of such nonlinear semidefinite programs more complicated ...
Freund, Roland W.   +2 more
core  

On classes of matrices containing M-matrices and hermitian positive semidefinite matrices

open access: yesLinear Algebra and its Applications, 1984
AbstractTwo new classes of matrices are introduced, containing hermitian positive semi-definite matrices and M-matrices. The relation to other well-known classes such as ω and τ-matrices and weakly sign symmetric matrices is examined, and invariance properties are shown.
openaire   +2 more sources

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