Results 261 to 270 of about 1,981,084 (298)

A Hybrid Multi-Strategy Chinese Pangolin Optimization Algorithm and Its Applications. [PDF]

open access: yesBiomimetics (Basel)
Jia C   +6 more
europepmc   +1 more source

Minimum rank and minimum trace of covariance matrices

open access: yesPsychometrika, 1982
This paper considers some mathematical aspects of minimum trace factor analysis (MTFA). The uniqueness of an optimal point of MTFA is proved and necessary and sufficient conditions for a point x to be optimal are established. Finally, some results about the connection between MTFA and the classical minimum rank factor analysis will be presented.
Alexander Shapiro, Shapiro Alexander
exaly   +3 more sources

Sign patterns with minimum rank 2 and upper bounds on minimum ranks

Linear and Multilinear Algebra, 2013
A sign pattern (matrix) is a matrix whose entries are from the set {+, −, 0}. The minimum rank (resp., rational minimum rank) of a sign pattern matrix 𝒜 is the minimum of the ranks of the real (resp., rational) matrices whose entries have signs equal to the corresponding entries of 𝒜. The notion of a condensed sign pattern is introduced.
Frank Hall, Yubin Gao, Wei Gao
exaly   +2 more sources

Haemers' Minimum Rank [PDF]

open access: yes, 2018
Haemers’ minimum rank, η(G), was first defined by Willem Haemers in 1979. He created this graph parameter as an upper bound for the Shannon capacity of a graph, Θ(G), and to answer some questions asked by Lovasz in his famous paper where he determined Θ(C5) = √ 5.
Tims, Geoff
openaire   +3 more sources

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