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Inequalities and equalities for l = 2 (Sylvester), l = 3 (Frobenius), and l > 3 matrices

Thome, Néstor (Springer Verlag (Germany), 2016-10)

This paper gives simple proofs of Sylvester (` = 2) and Frobenius (` = 3) inequalities. Moreover, a new sufficient condition for the equality of the Frobenius inequality is provided. In addition, an extension for ` > 3 ...
On the Prufer rank of mutually permutable products of abelian groups

Ballester-Bolinches, A.; Cossey, John; Meng, Hangyang; Pedraza Aguilera, María Carmen (Springer-Verlag, 2019-06)

[EN] A group G has finite (or Prufer or special) rank if every finitely generated subgroup of G can be generated by r elements and r is the least integer with this property. The aim of this paper is to prove the following ...
Rank Equalities Related to the Generalized Inverses A(B1,C1), D(B2,C2) of Two Matrices A and D

Wang, Wenjie; Xu, Sanzhang; Benítez López, Julio (MDPI AG, 2019-04)

[EN] Let A be an complex matrix. The (B,C)-inverse A vertical bar(B,C) of A was introduced by Drazin in 2012. For given matrices A and B, several rank equalities related to A vertical bar(B1,C1) and B vertical bar(B2,C2) ...
Study and applications of rank and select data structures

Salvador Lozano, Sergi (Universitat Politècnica de València, 2014-02-27)

Juha Kärkkäinen String analysis is nowadays a popular research field, both for its direct practical applications and the way it can be integrated into other fields, which can themselves be highly benefitted from its ...

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