Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Bounds for the right spectral radius of quaternionicmatrices
View through CrossRef
UDC 517.5
In this paper we present bounds for the sum of the moduli of right eigenvalues of a quaternionic matrix. As a consequence, we obtain bounds for the right spectral radius of a quaternionic matrix. We also present a minimal ball in 4D spaces which contains all the Gersgorin balls of a quaternionic matrix. As an application, we introduce the estimation for the right ˇ eigenvalues of quaternionic matrices in the minimal ball. Finally, we suggest some numerical examples to illustrate of our results.
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Title: Bounds for the right spectral radius of quaternionicmatrices
Description:
UDC 517.
5
In this paper we present bounds for the sum of the moduli of right eigenvalues of a quaternionic matrix.
As a consequence, we obtain bounds for the right spectral radius of a quaternionic matrix.
We also present a minimal ball in 4D spaces which contains all the Gersgorin balls of a quaternionic matrix.
As an application, we introduce the estimation for the right ˇ eigenvalues of quaternionic matrices in the minimal ball.
Finally, we suggest some numerical examples to illustrate of our results.
Related Results
ANALISIS PENGARUH RADIUS BENDING PADA PROSES BENDING MENGGUNAKAN PELAT SPCC-SD TERHADAP PERUBAHAN STRUKTUR MIKRO
ANALISIS PENGARUH RADIUS BENDING PADA PROSES BENDING MENGGUNAKAN PELAT SPCC-SD TERHADAP PERUBAHAN STRUKTUR MIKRO
Paper ini membahas tentang pengaruh radius bending pada kualitas hasil bending dan pengaruhnya terhadap perubahan microstructure. Proses bending merupakan salah satu proses pembent...
PANORAMIC REVIEW OF DISTAL RADIUS FRACTURES
PANORAMIC REVIEW OF DISTAL RADIUS FRACTURES
Introduction: fractures affecting the distal radius are common, their incidence increases as life expectancy increases, leading to a larger population of individuals at risk of suf...
The composition and provenance analysis of materials on Chang’E-4 Yutu-2 rover traverse
The composition and provenance analysis of materials on Chang’E-4 Yutu-2 rover traverse
Introduction:  The composition and provenance of the materials in South Pole - Aitken Basin (SPA) on southern farside is essential to a number of unresolved science questi...
The Application of S‐transform Spectrum Decomposition Technique in Extraction of Weak Seismic Signals
The Application of S‐transform Spectrum Decomposition Technique in Extraction of Weak Seismic Signals
AbstractIn processing of deep seismic reflection data, when the frequency band difference between the weak useful signal and noise both from the deep subsurface is very small and h...
Space Weathering simulation on the Aubrite meteorite NWA 13278, putative analogue of Mercury
Space Weathering simulation on the Aubrite meteorite NWA 13278, putative analogue of Mercury
IntroductionThe surface of Mercury as seen by the MESSENGER spacecraft is mostly featureless in the Visible-to-Near-Infrared range (VIS-to-NIR) [1-4], except for some restricted lo...
Research on the deep learning-based exposure invariant spectral reconstruction method
Research on the deep learning-based exposure invariant spectral reconstruction method
The surface spectral reflectance of an object is the key factor for high-fidelity color reproduction and material analysis, and spectral acquisition is the basis of its application...
The most pressing issue in soil hyperspectral analysis is technical failure due to soil heterogeneity
The most pressing issue in soil hyperspectral analysis is technical failure due to soil heterogeneity
Hyperspectral technology is an efficient and practical approach for measuring soil properties. However, its predictive accuracy is often limited by spectral variability resulting f...
Subexponential lower bounds for f-ergodic Markov processes
Subexponential lower bounds for f-ergodic Markov processes
AbstractWe provide a criterion for establishing lower bounds on the rate of convergence in f-variation of a continuous-time ergodic Markov process to its invariant measure. The cri...