scholarly journals Further characterizations of the weak group inverse of matrices and the weak group matrix

2021 ◽  
Vol 6 (9) ◽  
pp. 9322-9341
Author(s):  
Hui Yan ◽  
◽  
Hongxing Wang ◽  
Kezheng Zuo ◽  
Yang Chen ◽  
...  
Keyword(s):  
Group Inverse ◽  
Weak Group ◽  
Group Matrix

The weak group matrix

2019 ◽  
Vol 93 (6) ◽  
pp. 1261-1273 ◽  
Author(s):  
Hongxing Wang ◽  
Xiaoji Liu
Keyword(s):  
Weak Group ◽  
Group Matrix

Weak group inverses in proper ∗-rings

2019 ◽  
Vol 19 (12) ◽  
pp. 2050238 ◽  
Author(s):  
Mengmeng Zhou ◽  
Jianlong Chen ◽  
Yukun Zhou
Keyword(s):  
Group Inverse ◽  
Complex Matrices ◽  
Weak Group ◽  
Group Inverses

In proper ∗-rings, we characterize weak group inverses by three equations. It generalizes the notion of weak group inverse, which was introduced by Wang and Chen for complex matrices in 2018. Some new equivalent characterizations for elements to be weak group invertible are presented. Furthermore, we define the group-EP decomposition. Some properties of the weak group inverse are established by the group-EP decomposition.

scholarly journals Weighted weak group inverse for Hilbert space operators

2020 ◽  
Vol 15 (4) ◽  
pp. 709-726
Author(s):  
Dijana Mosić ◽  
Daochang Zhang
Keyword(s):  
Hilbert Space ◽  
Group Inverse ◽  
Weak Group ◽  
Hilbert Space Operators

Representations for the weak group inverse

2021 ◽  
Vol 397 ◽  
pp. 125957
Author(s):  
Dijana Mosić ◽  
Predrag S. Stanimirović
Keyword(s):  
Group Inverse ◽  
Weak Group

scholarly journals A weak group inverse for rectangular matrices

2019 ◽  
Vol 113 (4) ◽  
pp. 3727-3740 ◽  
Author(s):  
D. E. Ferreyra ◽  
V. Orquera ◽  
N. Thome
Keyword(s):  
Group Inverse ◽  
Weak Group

scholarly journals Weak group inverse

2018 ◽  
Vol 16 (1) ◽  
pp. 1218-1232 ◽  
Author(s):  
Hongxing Wang ◽  
Jianlong Chen
Keyword(s):  
Partial Order ◽  
The Other ◽  
Group Inverse ◽  
Complex Matrices ◽  
The Core ◽  
Weak Group ◽  
Square Complex

AbstractIn this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties. Furthermore, we introduce two orders: one is a pre-order and the other is a partial order, and derive several characterizations of the two orders. The paper ends with a characterization of the core EP order using WG inverses.

Solving fuzzy linear systems using a block representation of generalized inverses: The group inverse

2018 ◽  
Vol 353 ◽  
pp. 66-85 ◽  
Author(s):  
Biljana Mihailović ◽  
Vera Miler Jerković ◽  
Branko Malešević
Keyword(s):  
Linear Systems ◽  
Generalized Inverses ◽  
Group Inverse ◽  
Fuzzy Linear Systems

scholarly journals Who “apparently” more spends, “in reality” spends less. Spending “a little” more for the rental of the extracorporeal lithotripter can save “a lot” about the days of hospitalization for urinary stones

2016 ◽  
Vol 88 (4) ◽  
pp. 325
Author(s):  
Giuseppe Albino ◽  
Francesco Albergo
Keyword(s):  
Swot Analysis ◽  
Hospital Admissions ◽  
National Health System ◽  
Urinary Stones ◽  
Average Hospital ◽  
Extracorporeal Shock Wave ◽  
Group Matrix ◽  
Single Operator ◽  
Good Plan ◽  
The Right

Objective: The right to health (according to the Article 32 of the Italian Republic Constitution) is financially conditioned; for this reason the National Health System (NHS) has the objective of rationalize health expenditure according to the criteria of efficiency, effectiveness and economy. This paper is an example of rationalization concerning the extracorporeal shock wave lithotripsy (ESWL). Materials and methods: Hospital admissions for urinary stones were taken into account. "Edotto", the database of the Puglia region has identified 23 inpatient admissions during which was performed ESWL. A single operator performed ESWLs with a Storz lithotripter, Modulith SLK. Results: The average hospital stay is conditioned by days "to wait" lithotripsy. In 2014 the hospitalization days "waiting for" lithotripsy were 100. The results were subjected to SWOT analysis and discussed with the Boston Consulting Group Matrix. Discussion: Constant availability of the lithotripter would spare 100 days of hospitalization, amounting to € 88,200.00. This waste of resources corresponds to an additional cost equal to 98.3% on the cost for the rental of the lithotripter. Instead, reducing "unnecessary" hospitalization days would get a saving of 79.3% on the rental cost. It is as if for 46 days of the lithotripter rent were paid 46 days, while for 365 days of the lithotripter rent were paid only 11.8 sessions per year. Conclusions: Rationalization of resources is not necessarily a synonym of "reduction" of resources, but of reduction of waste in the NHS. A good plan is the most important rational basis to get more resources. About the process taken into account it is seen as an investment of € 21,450.00 would keep unchanged the effectiveness of lithotripsy service but would add efficiency and economy (increase of sessions/year, increase in the active mobility, increase in orthopedic treatments) and would drastically reduce the number hospital days (a waste).

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