臺灣博碩士論文加值系統

當我們解一個遞迴關係的特徵方程式時,不管解得的根是相異根或者是重
根,皆視這些跟產生的解之線性獨立為理所當然,因此很容易寫出此遞迴關
係的通解乃是這些解的線性組合.在本文中,我們將透過廣義的范德蒙行列
式(Generalized Vandermonde Determinant)的計算,很清楚地看出這些解
之間的線性獨立.

When we solve a characteristic equation of a recurrence
relation ,no matter what the roots are distinct or not,we take
the linear independence of these solutions producing by each
root for granted.Basing on this fact,we can easily write out
the general solutions of this recurrence relation by using
linear combination.