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New results on the quasi-commuting inverses | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 5، شماره 2، مهر 2014، صفحه 80-85 اصل مقاله (302.92 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2014.129 | ||
| نویسندگان | ||
| M. Nikuie* 1؛ A. Zohri2؛ M.K. Mirnia3 | ||
| 1aYoung Researchers and Elite Club, Islamic Azad University, Tabriz Branch, Tabriz, IRAN. | ||
| 2Payame Noor University, IRAN. | ||
| 3Department of Computer Sinence, Islamic Azad University, Tabriz Branch, Tabriz, IRAN. | ||
| تاریخ دریافت: 11 مرداد 1392، تاریخ بازنگری: 16 فروردین 1393، تاریخ پذیرش: 28 فروردین 1393 | ||
| چکیده | ||
| A matrix has an ordinary inverse only if it is square, and even then only if it is nonsingular or, in other words, if its columns (or rows) are linearly independent. In recent years needs have been felt in numerous areas of applied mathematics for some kind of partial inverse of a matrix that is singular or even rectangular. In this paper, some results on the Quasi-commuting inverses, are given and the effect of them in solving the case of linear system of equations where the coefficient matrix is a singular matrix, is illustrated. | ||
| کلیدواژه‌ها | ||
| Index of matrix؛ Generalized inverse؛ Singular linear system؛ Quasi-commuting inverses | ||
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