Results 51 to 60 of about 949,545 (177)

Generalized inverses in graph theory

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
–In this article, some interesting applications of generalized inverses in the graph theory are revisited. Interesting properties of generalized inverses are employed to make the proof of several known results simpler, and several techniques such as ...
Umashankara Kelathaya   +2 more
doaj   +1 more source

When does the Moore-Penrose inverse flip?

open access: yes, 2012
In this paper, we give necessary and sufficient conditions for the matrix $\mxl{cc}a&0\\b&d\mxr$, over a *-regular ring, to have a Moore-Penrose inverse of four different types, corresponding to the four cases where the zero element can stand.
Patrício, Pedro   +3 more
core   +1 more source

Spectral analysis of large reflexive generalized inverse and Moore-Penrose inverse matrices [PDF]

open access: yes, 2020
A reflexive generalized inverse and the Moore-Penrose inverse are often confused in statistical literature but in fact they have completely different behaviour in case the population covariance matrix is not a multiple of identity.
Parolya, Nestor   +3 more
core   +1 more source

High‐Order Sliding‐Mode control for MIMO Systems

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley   +1 more source

Moore–Penrose inverse in rings with involution [PDF]

open access: yes, 2007
We study the Moore–Penrose inverse (MP-inverse) in the setting of rings with involution. The results include the relation between regular, MP-invertible and well-supported elements.
Koliha, J.J.   +2 more
core   +1 more source

Linear System Identification and Control of a Low‐Cost High‐Performance Omnidirectional Marine Surface Vehicle for Swarming Applications

open access: yesJournal of Field Robotics, EarlyView.
ABSTRACT Marine operations traditionally rely on human intervention, a costly and disruptive method. Autonomous surface vehicles (ASVs) offer a powerful alternative, capable of operating autonomously, for extended periods, and with various sensors for various missions.
Ayman El Qemmah   +4 more
wiley   +1 more source

Connectivity and Selective Rural Migration

open access: yesInternational Economic Review, EarlyView.
ABSTRACT How does infrastructure shape rural development? Using household panel data from a nationally representative sample of Chinese villages, matched to high‐resolution highway maps, we find that road expansion between 2000 and 2015 operates mainly through reallocation, with less productive farmers scaling down or exiting and more productive ...
Lin Ma   +3 more
wiley   +1 more source

On Selection of Cross‐Section Averages in Non‐Stationary Environments

open access: yesJournal of Time Series Analysis, EarlyView.
ABSTRACT Information criteria (ICs) have been widely used in factor models to estimate an unknown number of latent factors. It has recently been shown that ICs perform well in Common Correlated Effects (CCE) and related settings when selecting a set of cross‐section averages (CAs) sufficient for the factor space under stationary factors.
Jan Ditzen, Ovidijus Stauskas
wiley   +1 more source

A Note About Measures, Jacobians and Moore–Penrose Inverse

open access: yes, 2020
Some general problems of Jacobian computations in non-full rank matrices are revised in this work. We prove that the Jacobian of the Moore Penrose inverse derived via matrix differential calculus is incorrect.
Caro-Lopera F.J., Díaz-García J.A.
core   +1 more source

The Moore–Penrose inverse of a partitioned nonnegative definite matrix [PDF]

open access: yes, 2000
Consider an arbitrary symmetric nonnegative definite matrix A and its Moore–Penrose inverse A+, partitioned, respectively asA=EFF′HandA+=G1G2G2′G4.Explicit expressions for G1, G2 and G4 in terms of E, F and H are given.
Jürgen Groß, Groß, Jürgen
core   +1 more source

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