应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2006年
4期
776-781
,共6页
Moore-Penrose逆%Tikhonov正则化算子%Hilbert空间
Moore-Penrose逆%Tikhonov正則化算子%Hilbert空間
Moore-Penrose역%Tikhonov정칙화산자%Hilbert공간
Moore-Penrose inverse%Tickhonov regularizer%Hilbert space
设X为拓扑空间.H1和H2为Hilbert空间,T(·)为X到B(H1,H2)的连续映射.本文主要利用Tikhonov正则化算子给出了Moore-Penrose逆T+x连续的充分必要条件.这个结果在计算数学中是很重要的.
設X為拓撲空間.H1和H2為Hilbert空間,T(·)為X到B(H1,H2)的連續映射.本文主要利用Tikhonov正則化算子給齣瞭Moore-Penrose逆T+x連續的充分必要條件.這箇結果在計算數學中是很重要的.
설X위탁복공간.H1화H2위Hilbert공간,T(·)위X도B(H1,H2)적련속영사.본문주요이용Tikhonov정칙화산자급출료Moore-Penrose역T+x련속적충분필요조건.저개결과재계산수학중시흔중요적.
Let X be a topological space.Let H1 and H2 be two Hilbert spaces and T(·) be a continuous mapping from X into B(H1,H2).In this paper,using the Tickhonov regularizer,we give a sufficient and necessary condition for the Moore-Penrose inverses T+x being continuous,which plays an important role in the computation.
