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The $ m $-weak groupinverse forrectangular matrices: научное издание Mosić D.Stanimirović P. S.Kazakovtsev L. A.2024 год

The $ m $-weak group inverse for rectangular matrices : научное издание
статья из журнала

Дополнительные ссылки: eLibrary
База данных: Каталог библиотеки СФУ
Библиографическое описание: The $ m $-weak group inverse for rectangular matrices : научное издание / D. Mosić, P. S. Stanimirović, L. A. Kazakovtsev. - Текст : непосредственный // Electronic Research Archive. - 2024. - Т. 32, № 3. - С. 1822-1843. - ISSN 2688-1594, DOI 10.3934/era.2024083.
Аннотация: <jats:p xml:lang="fr"><abstract><p>An extension of the $ m $-weak group inverse (or $ m $-WGI) on the set of rectangular matrices is provided to solve some systems of matrix equations. The extension is termed as the $ W $-weighted $ m $-WGI (or $ W $-$ m $-WGI). The $ W $-$ m $-WGI presents a new, wider class of generalized inverses which involves some already defined generalized inverses, such as the $ m $-WGI, $ W $-weighted weak group, and $ W $-weighted Drazin inverse. Basic properties and diverse characterizations are proved for $ W $-$ m $-WGI. Several expressions for computing $ W $-$ m $-WGI are proposed in terms of known generalized inverses and projectors, as well as its limit and integral representations. The $ W $-$ m $-WGI class is utilized to solve some linear matrix equations and express their general solutions. Some new properties of the weighted generalized group inverse and recognized properties of the $ W $-weighted Drazin inverse are obtained as corollaries. Numerical and symbolic test examples are presented to verify the obtained results.</p></abstract></jats:p>
Год издания: 2024
Авторы: Mosić D., Stanimirović P. S., Kazakovtsev L. A.
Издательство: American Mathematical Society
Источник: Electronic Research Archive
Выпуск: Т. 32, № 3
Номера страниц: 1822-1843
Количество экземпляров:
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