16960

15037

كارشناسي ارشد

رياضي محض

اصفهان : دانشگاه صنعتي اصفهان

1400

هفت، [67]ص.

واژه نامه

1400/10/12

كتابنامه

رياضي

رياضي

1400/10/13

2793408

شعاع عددي يك ماتريس كميتي اسكالر مقدار است كه داراي كاربردهاي فراواني در مطالعه آناليز ماتريس ها مي باشد. به دليل سختي كار در يافتن برخي از كران ها براي شعاع عددي، نامساوي ها نقش مهمي در اين خصوص پيدا كرده اند. در اين پايان نامه ما به ارائه تعداد زيادي از نامساوي ها براي شعاع عددي مي پردازيم.

The aim of this dissertation is introduce and study the numerical rang and numerical radius of matrices. The numerical radius of a matrix is a scalar quantity that has many applications in the study of matrix analysis. Due to the difficulty in computing the numerical radius, inequalities bounding it have received a considerable attention in the literature. We present several new inequalities for the numerical radius of accretive matrices. The importance of this study is the presence of a new approach that treats a specific class of matrices, namely the accretive ones. While some of these inequalities can be considered as refinements of other existing ones, others present new insight to some known results for positive matrices. This dissertation is written based on article Numerical radii of accretive matrices", YF. and M

محمود منجگاني

مهدي نعمتي، سيما سلطاني