纺织高校基础科学学报
紡織高校基礎科學學報
방직고교기출과학학보
BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES
2014年
4期
482-486
,共5页
梅晓凤%畅大为%李丽梅
梅曉鳳%暢大為%李麗梅
매효봉%창대위%리려매
严格积γ-对角占优阵%schur补%diagonal-schur补%三角-schur补
嚴格積γ-對角佔優陣%schur補%diagonal-schur補%三角-schur補
엄격적γ-대각점우진%schur보%diagonal-schur보%삼각-schur보
strictly product γ-diagonally dominant matrix%schur complement%diagonal-schur comple-ment%triangle-schur complement
为了深入研究schur补的适用范围,引入了三角‐schur补(diagonal‐schur补是其当θ=π/2时的特殊情况),利用严格积γ‐对角占优矩阵的矩阵性质,证明得到了严格积γ‐对角占优矩阵的三角‐schur补仍是严格积γ‐对角占优矩阵,最后应用数值例子进行了验证。
為瞭深入研究schur補的適用範圍,引入瞭三角‐schur補(diagonal‐schur補是其噹θ=π/2時的特殊情況),利用嚴格積γ‐對角佔優矩陣的矩陣性質,證明得到瞭嚴格積γ‐對角佔優矩陣的三角‐schur補仍是嚴格積γ‐對角佔優矩陣,最後應用數值例子進行瞭驗證。
위료심입연구schur보적괄용범위,인입료삼각‐schur보(diagonal‐schur보시기당θ=π/2시적특수정황),이용엄격적γ‐대각점우구진적구진성질,증명득도료엄격적γ‐대각점우구진적삼각‐schur보잉시엄격적γ‐대각점우구진,최후응용수치례자진행료험증。
In order to further study and promote schur complements scope ,the triangle‐schur comple‐ments(diagonal‐schur complement is a special case of triangle‐schur complement when θ= π/2) is intro‐duced ,and the properties of strictly product γ‐diagonally dominant matrix is used to obtain the triangle‐schur complements of strictly product γ‐diagonally dominant matrix are strictly product γ‐diagonally dominant matrix .In the end ,the numerical example is given to illustrate the effectiveness of the crite‐ria .