Acta mathematica scientia,Series A ›› 2002, Vol. 22 ›› Issue (3): 404-412.
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YOU Dun-Qiao, GU Jian-Beng, LI La-Qing
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Supported by:
国家自然科学基金和湖北省自然科学基金资助项目
Abstract:
细分格式是计算机图形学和小波分析中的一个重要工具.该文考虑犠狆,狉(犚狊)空间上的犕伸缩的细分格式,犕为一个狊×狊的整数矩阵,满足lim狀→ ∞犕-狀=0.作者用与细分面具相关的犿(=|犕|)个矩阵的联合谱半径来刻画犠狆,狉(犣狊)上的细分格式的收敛性,得到了收敛性的充分与必要条件.
Key words: 细分方程;细分算子;细分格式;联合谱半径;稳定性
CLC Number:
YOU Dun-Qiao, GU Jian-Beng, LI La-Qing. W_p,r(R^s)上的稳定细分格式[J].Acta mathematica scientia,Series A, 2002, 22(3): 404-412.
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