3 papers
math.RA2024
A new generalized inverse for rectangular matrices. A general approach
D. E. Ferreyra, F. E. Levis, R. P. Moas +1
Rao and Mitra in 1972 introduced two different types of constraints to extend the concept of Bott-Duffin inverse and defined a new constrained inverse. Mary in 2011 defined the inv…
math.RA2023
One sided Star and Core orthogonality of matrices
D. E. Ferreyra, F. E. Levis, Saroj B. Malik +1
We investigate two one-sided orthogonalities of matrices, the first of which is left (right) -orthogonality for rectangular matrices and the other is left (right) core-orthogona…
math.DG2021
Harmonic unit normal sections of Grassmannians associated with cross products
Francisco Ferraris, Ruth Paola Moas, Marcos Salvai
Let G(k,n) be the Grassmannian of oriented subspaces of dimension k of R^n with its canonical Riemannian metric. We study the energy of maps assigning to each P \in G(k,n) a unit v…