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7 results on '"Orquera, V."'

1. New characterizations of the diamond partial order

Author

Ferreyra, D. E., Levis, F. E., Maharana, G., and Orquera, V.

Subjects
Mathematics - Rings and Algebras, 15A09, 06A06, 15B57
Abstract

Baksalary and Hauke introduced the diamond partial order in 1990, which we revisit in this paper. This order was defined on the set of rectangular matrices and is the same as the star and minus partial orders for partial isometries. New ways of describing and studying the diamond partial order are being looked into in this paper. Particularly, we present a new characterization by using an additivity property of the column spaces. Additionally, we also study the relationship between the left (resp., right) star and diamond partial orders. Specifically, we obtain conditions in which the diamond partial order means the left (resp., right) star partial order. The reverse order law for the Moore-Penrose inverse is characterized when $A$ is below $B$ under the diamond partial order. Finally, an interesting way of describing bi-dagger matrices is found.

Published
2024

4. Representations of the weighted WG inverse and a rank equation's solution.

Author

Ferreyra, D. E., Orquera, V., and Thome, N.

Subjects
*MATRIX multiplications, *EQUATIONS
Abstract

In this paper, we present several representations of the W-weighted WG inverse. These representations are expressed in terms of matrix powers as well as in terms of matrix products involving only the Moore–Penrose inverse. In addition, a new characterization of the W-weighted WG inverse is presented by using a rank equation. [ABSTRACT FROM AUTHOR]

Published
2023
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6. Caracterización de la inversa de grupo débil mediante una ecuación de rangos

Author

Ferreyra, David Eduardo, Orquera, V., and Thome, Néstor

Subjects
Inversa core-EP, Inversa de grupo débil, Matrices inversas generalizadas, MATEMATICA APLICADA
Abstract

[ES] Si A es una matriz de tamaño n × n compleja invertible, es conocido que se puede caracterizar la inversa de A como la única matriz X que satisface la igualdad de rangos. En este trabajo se presenta una extensión al caso de matrices singulares, precisamente para la inversa de grupo débil Aw de A, recientemente introducida en [H. Wang, J. Chen, Weak group inverse, Open Mathematics, 16 (2018), pp. 1218-1232]., Este trabajo ha sido parcialmente subsidiado por los proyectos PPI 18/C472 de la Universidad Nacional de Río Cuarto, PIP 112-201501-00433CO de CONICET y por el Ministerio de Economía, Industria y Competitividad de España (Red de Excelencia MTM2017-90682-REDT).

Published
2019

7. Clases maximales que representan la inversa BT

Author

Ferreyra, David, Orquera, V., and Thome, Néstor

Subjects
Clases maximales, Inversa B, Matrices inversas generalizadas, MATEMATICA APLICADA, Inversa de Moore-Penrose, Inversa core
Abstract

[ES] El principal objetivo de este trabajo es dar representaciones mediante clases maximales que permitan representar la inversa generalizada BT, introducida por Baksalary y Trenkler en 2014, utilizando la descomposición de Hartwig-Spindelböck., Este trabajo ha sido parcialmente subsidiado por los proyectos PPI 18/C472 de la Universidad Nacional de Río Cuarto, PIP 112-201501-00433CO de CONICET, Red de Excelencia MTM2017-90682-REDT del Ministerio de Economía, Industria y Competitividad de España.

Published
2019

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