Bounds for the right spectral radius of quaternionic matrices

I.  Ali

doi:10.37863/umzh.v72i6.6018

I. Ali School Basic Sci., Indian Inst. Technology Indore, Simrol, India

DOI: https://doi.org/10.37863/umzh.v72i6.6018

Анотація

УДК 517.5

Знайдено граничнi оцiнки для сум модулiв правих власних значень кватернiонних матриць. Як наслiдок, отримано оцiнки для правого спектрального радiуса таких матриць. У чотиривимiрних просторах знайдено мiнiмальний шар, який мiстить всi шари Гершгорiна матрицi кватернiонiв. Як застосування, запропоновано оцiнку для правих власних значень матриць кватернiонiв. Також наведено приклади для iлюстрацiї цих результатiв.

Посилання

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