scholarly journals On the existence of group inverses of Peirce corner matrices

2019 ◽  
Vol 582 ◽  
pp. 482-498 ◽  
Author(s):  
Daochang Zhang ◽  
Dijana Mosić ◽  
Tin-Yau Tam
Keyword(s):  
Group Inverses

scholarly journals Generalized inverses over integral domains. II. group inverses and Drazin inverses

1991 ◽  
Vol 146 ◽  
pp. 31-47 ◽  
Author(s):  
K. Manjunatha Prasad ◽  
K.P.S. Bhaskara Rao ◽  
R.B. Bapat
Keyword(s):  
Generalized Inverses ◽  
Integral Domains ◽  
Group Inverses

scholarly journals Group inverses and Drazin inverses of bidiagonal and triangular Toeqlitz matrices

1977 ◽  
Vol 24 (1) ◽  
pp. 10-34 ◽  
Author(s):  
R. E. Hartwig ◽  
J. Shoaf
Keyword(s):  
Toeplitz Matrices ◽  
Arbitrary Ring ◽  
Group Inverses ◽  
Necessary And Sufficient

AbstractNecessary and sufficient sonditions are given for the existence of the group and Drazin inverses of bidiagonal and triangular Toeplitz matrices over an arbitrary ring.

Simulation on Trajectory Planning of 6R Manipulator Based on the Shortest Distance Criterion

2014 ◽  
Vol 602-605 ◽  
pp. 942-945
Author(s):  
Qing Qing Huang ◽  
Guang Feng Chen ◽  
Jiang Hua Li ◽  
Xin Wei
Keyword(s):  
Trajectory Planning ◽  
Inverse Kinematics ◽  
Spline Interpolation ◽  
Algebraic Method ◽  
End Effector ◽  
Cartesian Space ◽  
Shortest Distance ◽  
Inverse Solutions ◽  
Group Inverses ◽  
Forward And Inverse Kinematics

This paper concerns the trajectory planning and simulation for 6R Manipulator. First, algebraic method was used to deduce the forward and inverse kinematics of 6R manipulator. All inverse solutions were expressed in atan2 to eliminate redundant roots to get the corresponding inverse formula. For the trajectory planning of manipulator in Cartesian space, using the cubic spline interpolation to get the drive function of joint, getting a unique solution from eight group inverses by the shortest distance criterion, and then obtained the actual end-effector trajectory. Using Matlab to verify the proposed trajectory planning method, validated results show that the proposed algorithm is feasible and effective.

Group inverses for some 2 × 2 block matrices over rings

2016 ◽  
Vol 11 (3) ◽  
pp. 521-538
Author(s):  
Chongguang Cao ◽  
Yingchun Wang ◽  
Yuqiu Sheng
Keyword(s):  
Block Matrices ◽  
Group Inverses

Displacement structure of group inverses

2005 ◽  
Vol 12 (2-3) ◽  
pp. 103-110 ◽  
Author(s):  
Yimin Wei ◽  
Michael K. Ng
Keyword(s):  
Displacement Structure ◽  
Group Inverses

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.

On the group invertibility of operators

2016 ◽  
Vol 31 ◽  
pp. 492-510
Author(s):  
Chunyuan Deng
Keyword(s):  
Hilbert Spaces ◽  
Main Topic ◽  
Reverse Order ◽  
Operator Matrices ◽  
Reverse Order Law ◽  
Block Operator ◽  
Block Operator Matrices ◽  
Group Inverses ◽  
Triangular Block ◽  
Equivalent Conditions

The main topic of this paper is the group invertibility of operators in Hilbert spaces. Conditions for the existence of the group inverses of products of two operators and the group invertibility of anti-triangular block operator matrices are studied. The equivalent conditions related to the reverse order law for the group inverses of operators are obtained.

scholarly journals Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices

2005 ◽  
Vol 409 ◽  
pp. 32-50 ◽  
Author(s):  
Minerva Catral ◽  
Michael Neumann ◽  
Jianhong Xu
Keyword(s):  
Diagonally Dominant ◽  
Group Inverses

Mixed-type reverse order laws for the group inverses in rings with involution

2016 ◽  
Vol 53 (2) ◽  
pp. 138-156
Author(s):  
Dijana Mosić ◽  
Dragan S. Djordjević
Keyword(s):  
Mixed Type ◽  
Reverse Order ◽  
Rings With Involution ◽  
Group Inverses ◽  
Equivalent Conditions

We investigate some equivalent conditions for the reverse order laws (ab)# = b†a# and (ab)# = b#a† in rings with involution. Similar results for (ab)# = b#a* and (ab)# = b*a# are presented too.

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