MULTIPLICATIVE

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Kloosterman sums with multiplicative coefficients被引量：1
《Science China Mathematics》2016年第4期653-660,共8页GONG Ke JIA ChaoHua 
supported by National Natural Science Foundation of China(Grant Nos.11201117 and 11126150),supported by National Natural Science Foundation of China(Grant Nos.11371344 and 11321101);National Key Basic Research Program of China(Grant No.2013CB834202)
Let f(n)be a multiplicative function satisfying |f(n)|≤1,q(≤N^2)be a positive integer and a be an integer with(a,q)= 1.In this paper,we shall prove that ∑n≤N(n,q)=1f(n)e(an/q)■(1/2)(τ(q)/q)N loglog(6N)+ q^(1/4+...
关键词：Kloosterman sum multiplicative function finite version of Vinogradov＇s inequality 
The weight distributions of a class of non-primitive cyclic codes with two nonzeros
《Science China Mathematics》2015年第6期1285-1296,共12页ZHENG DaBin ZHOU FengLi HU Lei ZENG XiangYong 
supported by National Natural Science Foundation of China(Grant Nos.11101131 and 61170257);National Basic Research Program of China(Grant No.2013CB834203);the External Science and Technology Cooperation Program of Hubei Province(Grant No.2012IHA01402)
Recently, a class of non-primitive cyclic codes with two nonzeros have received much attention of researchers and their weight distributions have been obtained for several cases of two key parameters related to the no...
关键词：primitive codes Jacobi multiplicative evaluating integer multiplicity exponential simplify details 
Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations被引量：1
《Numerical Mathematics(Theory,Methods and Applications)》2010年第4期461-474,共14页Michael K.Ng 
supported by the National Basic Research Program (No.2005CB321702);the National Outstanding Young Scientist Foundation(No. 10525102);the Specialized Research Grant for High Educational Doctoral Program(Nos. 20090211120011 and LZULL200909),Hong Kong RGC grants and HKBU FRGs
Image restoration is often solved by minimizing an energy function consisting of a data-fidelity term and a regularization term.A regularized convex term can usually preserve the image edges well in the restored image...
关键词：Edge-preserving     image restoration     multiplicative half-quadratic regularization     Newton method     preconditioned conjugate gradient method     constraint preconditioner     eigenvalue bounds 
A general additive-multiplicative rates model for recurrent event data被引量：5
《Science China Mathematics》2009年第10期2257-2265,共9页DAI JiaJia SUN LiuQuan YANG ZhenHai 
supported by National Natural Science Foundation of China (Grant Nos. 10571169, 10731010);National Basic Research Program of China (Grant No. 2007CB814902)
In this article, we propose a general additive-multiplicative rates model for recurrent event data. The proposed model includes the additive rates and multiplicative rates models as special cases. For the inference on...
关键词：recurrent event marginal model counting process generalized estimating equation 62G05 62N01 
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