Results 51 to 60 of about 949,602 (209)

Definition of Complex One-Parameter Generalized Moore–Penrose Inverses Using Differential Transformations

Computational and Mathematical Methods
This study presents analytical and numerical-analytical decomposition methods for determining complex one-parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution
Sargis Simonyan, Hovhannes Abgaryan, Armine Avetisyan   +2 more
doaj   +1 more source

Generalized inverses in graph theory

AKCE 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, Ravindra B. Bapat, Manjunatha Prasad Karantha   +2 more
doaj   +1 more source

High Dynamic Range Turbo‐FLASH B1 Mapping for Characterizing Multi‐Transmit Multi‐Receive RF Arrays, Validated at 7 T and 11.7 T

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Transmit (B1+) and receive (B1−) sensitivities of parallel‐transmit/receive RF array are a prerequisite for modern ultra‐high‐field MRI. Their accurate mapping remains challenging for coils with high transmit dynamic range, particularly in regions with low combined‐mode B1+ magnitude, where standard reconstruction is impaired by noise.
Natalia Dudysheva, Franck Mauconduit, Michel Luong, Alexis Amadon, Nicolas Boulant, Vincent Gras   +5 more
wiley   +1 more source

When does the Moore-Penrose inverse flip?

, 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, Hartwig, Robert E., P. Patrício, R. E. Hartwig   +3 more
core   +1 more source

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

, 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, Bodnar, Taras, Nestor Parolya, Taras Bodnar   +3 more
core   +1 more source

High‐Order Sliding‐Mode control for MIMO Systems

International 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

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

Journal 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, Gianni Cario, Alessandro Casavola, Marco Lupia, Francesco Tedesco   +4 more
wiley   +1 more source

Polynomial‐shaped electrodes for adaptive X‐ray optics

Journal of Synchrotron Radiation, EarlyView.
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler   +2 more
wiley   +1 more source

Connectivity and Selective Rural Migration

International 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, Yuan Mei, Qunfeng Wu, Mingzhi (Jimmy) Xu   +3 more
wiley   +1 more source

A Note About Measures, Jacobians and Moore–Penrose Inverse

, 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