应用数学与计算数学学报
應用數學與計算數學學報
응용수학여계산수학학보
COMMUNICATION ON APPLIED MATHEMATICS AND COMPUTATION
2012年
1期
113-120
,共8页
Pad6-型逼近%矩阵幂级数%误差公式%二元齐次
Pad6-型逼近%矩陣冪級數%誤差公式%二元齊次
Pad6-형핍근%구진멱급수%오차공식%이원제차
PadS-type approximation%matrix power series%error formula%bi-variate homogeneous
二元矩阵Pad6一型逼近的计算比较复杂．本文受Benouahmane和Cuyt的启发，通过引入一种变量代换，将二元齐次矩阵形式幂级数转化为一元含参数形式的矩阵形式幂级数，并给出了二元齐次矩阵Pad6一型逼近的构造性的定义和误差公式的证明．数值实例说明了此方法的有效性．
二元矩陣Pad6一型逼近的計算比較複雜．本文受Benouahmane和Cuyt的啟髮，通過引入一種變量代換，將二元齊次矩陣形式冪級數轉化為一元含參數形式的矩陣形式冪級數，併給齣瞭二元齊次矩陣Pad6一型逼近的構造性的定義和誤差公式的證明．數值實例說明瞭此方法的有效性．
이원구진Pad6일형핍근적계산비교복잡．본문수Benouahmane화Cuyt적계발，통과인입일충변량대환，장이원제차구진형식멱급수전화위일원함삼수형식적구진형식멱급수，병급출료이원제차구진Pad6일형핍근적구조성적정의화오차공식적증명．수치실례설명료차방법적유효성．
The Pade-type approximation of bi-variate matrix is very difficult. The idea of this paper is partly derived from Benouahmane and Cuyt. By introducing variable replacement, the bi-variate homogeneous matrix formal power series is transformed into uni-variate matrix formal power series with parameters, on the basis of which, the constructive definition of the bi-variate homogeneous matrix PadS-type approximation is given and its error formula is verified. The numerical example shows that the method is effective.
