


摘 要:從矩陣跡的角度,將等冪和表示為一種特殊數量矩陣的跡,應用厄米特正定矩陣的跡的性質研究了自然數等冪和的一些不等式性質。
關鍵詞:等冪和;厄米特正定矩陣的跡;不等式性質
中圖分類號:O156.4文獻標識碼:A文章編號:2095-7394(2015)02-0001-04
證明 定理7中用pr代替r,用qs代替s即得。
參考文獻:
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Abstract:From the perspectives of the trace of a matrix,sum of equal power is expressed as the trace of a special scalar matrix.By the properties of Hermite positive definite matrix trace,we take a careful study of some inequality properties of the equal power sum of natural number.
Key words:sum of equal power;the trace of hermite positive definite matrix;inequalities property
責任編輯 祁秀春