Results 61 to 70 of about 28,414 (283)
On elements whose Moore–Penrose inverse is idempotent in a*-ring
, 2021 In this paper, we investigate the elements whose Moore–Penrose inverse is idempotent in a ∗ -ring. Let R be a ∗ -ring and a ∈ R† . Firstly, we give a concise characterization for the idempotency of a† as follows: a ∈ R† and a† is idempotent if and only ...
Haiyang Zhu, Jianlong Chen, Yukun Zhou
semanticscholar +1 more source
Journal of Mathematics, 2018 Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion ...
Ivan I. Kyrchei
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Characterizations and properties of hyper-dual Moore-Penrose generalized inverse
AIMS MathematicsIn this paper, the definition of the hyper-dual Moore-Penrose generalized inverse of a hyper-dual matrix is introduced. Characterizations for the existence of the hyper-dual Moore-Penrose generalized inverse are given, and a formula for the hyper-dual ...
Qi Xiao, Jin Zhong
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Constrainted least squares solution of Sylvester equation
Mathematical Modelling and Control, 2021 In this paper, we study several constrainted least squares solutions of quaternion Sylvester matrix equation. We first propose a real vector representation of quaternion matrix and study its properties.
Wenxv Ding, Ying Li, Dong Wang, AnLi Wei
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How to Manufacture Photonic Metamaterials
Advanced Materials Technologies, EarlyView.Metamaterials boast applications such as invisibility and “hyperlenses” with resolution beyond the diffraction limit, but these applications haven’t been exploited in earnest and the market for them hasn’t grown much likely because facile and economical methods for fabricating them without defect has not emerged.
Apurba Paul, Gregory Timp
wiley +1 more source
Versatile and Robust Reservoir Computing with PWM‐Driven Heterogenous R–C Circuits
Advanced Science, EarlyView.A robust physical reservoir computing (PRC) system using pulse‐width modulation (PWM)‐encoded R–C circuits is introduced. By enabling customizable nonlinearities and timescales, this system achieves state‐of‐the‐art accuracy in chaotic, multiscale, and multiclass tasks while maintaining stability across temperature variations and device batches.
Zelin Ma +9 more
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Aplikasi Invers Grup Pada Karakterisasi Invers Moore Penrose [PDF]
, 2016 Let be a ring with identity and equipped with involution " ". If is element of and has the Moore Penrose inverse, then and also have the Moore Penrose inverse.
SRRM, T. U. (Titi)
core
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 +2 more
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.In this research, a paradigm of parameter estimation method for pneumatic soft hand control is proposed. The method includes the following: 1) sampling harmonic damping waves, 2) applying pseudo‐rigid body modeling and the logarithmic decrement method, and 3) deriving position and force control.
Haiyun Zhang +4 more
wiley +1 more source
The Moore-Penrose inverse of a retrocirculant
Linear Algebra and its Applications, 1978 AbstractIn a recent paper Chao [2] has determined the eigenvalues of a matrix of the form A=PC where P is a permutation matrix which commutes with a certain unitary matrix and C is a circulant. Here we determine the Moore-Penrose inverse of such a “retrocirculant” and show that the nonzero eigenvalues of the Moore-Penrose inverse are the reciprocals of
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