Generalized inverses and solutions to related equations

Shiyin Zhao; Yue Sui; Junchao Wei

doi:10.2298/fil2104087z

Generalized inverses and solutions to related equations

Filomat ◽

10.2298/fil2104087z ◽

2021 ◽

Vol 35 (4) ◽

pp. 1087-1093

Author(s):

Shiyin Zhao ◽

Yue Sui ◽

Junchao Wei

Keyword(s):

Generalized Inverses ◽

Partial Isometries

In this paper, some new characterizations of partial isometries and strongly EP elements are investigated. Especially, we discuss the existence of the solutions of certain equations in a given set to characterize partial isometries, strongly EP elements and so on.

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Generalized inverses and similarity to partial isometries

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.06.022 ◽

2010 ◽

Vol 372 (2) ◽

pp. 559-564 ◽

Cited By ~ 2

Author(s):

Mostafa Mbekhta ◽

Laurian Suciu

Keyword(s):

Generalized Inverses ◽

Partial Isometries

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A -partial isometries and generalized inverses

Linear Algebra and its Applications ◽

10.1016/j.laa.2013.04.011 ◽

2013 ◽

Vol 439 (5) ◽

pp. 1286-1293 ◽

Cited By ~ 6

Author(s):

M. Laura Arias ◽

Mostafa Mbekhta

Keyword(s):

Generalized Inverses ◽

Partial Isometries

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Application of Matrix Generalized Inverses to the Computation of Zeros and Zero Directions of Singular Linear Control Systems

10.23919/acc.1982.4787860 ◽

1982 ◽

Author(s):

N. Al-Nasr ◽

V. Lovass-Nagy ◽

D. O'Connor

Keyword(s):

Control Systems ◽

Linear Control ◽

Generalized Inverses ◽

Linear Control Systems

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Linear Transformations, Projection Operators and Generalized Inverses; A Geometric Approach

10.21236/ada197608 ◽

1988 ◽

Author(s):

C. R. Rao

Keyword(s):

Geometric Approach ◽

Generalized Inverses ◽

Projection Operators ◽

Linear Transformations

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Some properties of Max-Plus Algebra and generalized inverses on 2x2 matrices integers modulo 3

Journal of Physics Conference Series ◽

10.1088/1742-6596/1869/1/012147 ◽

2021 ◽

Vol 1869 (1) ◽

pp. 012147

Author(s):

I Hadi ◽

Y Mahatma ◽

A Sulistyaningrum

Keyword(s):

Generalized Inverses

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Test matrices for generalized inverses

ACM SIGNUM Newsletter ◽

10.1145/1053412.1053415 ◽

1978 ◽

Vol 13 (4) ◽

pp. 10-12 ◽

Cited By ~ 4

Author(s):

Gerhard Zielke

Keyword(s):

Generalized Inverses ◽

Test Matrices

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Metric geometry of partial isometries in a finite von Neumann algebra

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.04.056 ◽

2008 ◽

Vol 337 (2) ◽

pp. 1226-1237 ◽

Cited By ~ 1

Author(s):

Esteban Andruchow

Keyword(s):

Von Neumann Algebra ◽

Metric Geometry ◽

Partial Isometries ◽

Von Neumann ◽

Finite Von Neumann Algebra

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Minimal ∞-norm of generalized inverses of the incidence matrix of a tree

Linear and Multilinear Algebra ◽

10.1080/03081087.2019.1625857 ◽

2019 ◽

pp. 1-12

Author(s):

Sheng Chen ◽

Yi Dai

Keyword(s):

Incidence Matrix ◽

Generalized Inverses ◽

Minimal Norm

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Reverse order law for reflexive generalized inverses of products of matrices

Linear Algebra and its Applications ◽

10.1016/s0024-3795(97)10068-4 ◽

1998 ◽

Vol 277 (1-3) ◽

pp. 299-311 ◽

Cited By ~ 24

Author(s):

Alvaro R. De Pierro ◽

Musheng Wei

Keyword(s):

Generalized Inverses ◽

Reverse Order ◽

Reverse Order Law ◽

Products Of Matrices

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Mixed-Type Reverse-Order Laws for the Generalized Inverses of an Operator Product

Arabian Journal for Science and Engineering ◽

10.1007/s13369-011-0046-8 ◽

2011 ◽

Vol 36 (3) ◽

pp. 475-486 ◽

Cited By ~ 3

Author(s):

Zhiping Xiong ◽

Yingying Qin

Keyword(s):

Mixed Type ◽

Generalized Inverses ◽

Reverse Order ◽

Operator Product

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