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几类经典插值函数截断误差的简单证明 被引量:3
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作者 常锦才 潘秋玲 王杰铖 《华北理工大学学报(自然科学版)》 CAS 2019年第2期103-111,共9页
截断误差估计关系到逼近方法的收敛性及精度的刻画,是数值逼近中十分重要的研究课题。在前人研究工作的基础上,应用积分中值定理、Rolle定理和构造一些函数特殊不等式,对插值余项定理、Lagrange插值、Newton插值、Hermite插值、分段线... 截断误差估计关系到逼近方法的收敛性及精度的刻画,是数值逼近中十分重要的研究课题。在前人研究工作的基础上,应用积分中值定理、Rolle定理和构造一些函数特殊不等式,对插值余项定理、Lagrange插值、Newton插值、Hermite插值、分段线性插值和三次样条插值的误差计算公式给予简单证明,结果对数值逼近理论与实践均有一定的价值和意义。 展开更多
关键词 插值余项定理 经典插值函数 截断误差 样条插值
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Threshold Ring Signature Scheme Based on TPM
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作者 Gong Bei Jiang Wei +2 位作者 Lin Li Li Yu Zhang Xing 《China Communications》 SCIE CSCD 2012年第1期80-85,共6页
The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we prese... The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we presented a Trusted Platform Module (TPM)-based threshold ring signature schen. Employing a reliable secret Share Distribution Center (SDC), the proposed approach can authenticate the TPM-based identity rank of members of the ring but not track a specific member's identity. A subset including t members with the same identity rank is built. With the signing cooperation of t members of the subset, the ring signature based on Chinese remainder theorem is generated. We proved the anonymity and unforgeability of the proposed scheme and compared it with the threshold ring signature based on Lagrange interpolation polynomial. Our scheme is relatively simpler to calculate. 展开更多
关键词 ring signature TPM THRESHOLD Chinese remainder theorem RANK
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