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Separation of Comprehensive Geometrical Errors of a 3-DoF Parallel Manipulator Based on Jacobian Matrix and its Sensitivity Analysis with Monte-Carlo Method
parallel kinematic machines (PKMs) limited-degree-of-freedom (limited-DoF) error separation
2011/8/4
Parallel kinematic machines (PKMs) have the advantages of a compact structure, high stiffness, a low moving inertia, and a high load/weight ratio. PKMs have been intensively studied since the 1980s, a...
Separation of Comprehensive Geometrical Errors of a 3-DoF Parallel Manipulator Based on Jacobian Matrix and its Sensitivity Analysis with Monte-Carlo Method
parallel kinematic machines (PKMs) limited-degree-of-freedom (limited-DoF)
2011/8/4
Parallel kinematic machines (PKMs) have the advantages of a compact structure, high stiffness, a low moving inertia, and a high load/weight ratio. PKMs have been intensively studied since the 1980s, a...
超椭圆曲线上的Jacobian加法算法的优化
Jacobian 加法算法 Harley算法
2009/6/4
计算超椭圆曲线上的Jacobian群中两个元素D和E的运算2D+E是标量乘法的重要过程，该运算通常分为一个倍点和一个加法进行两次计算．通过优化T.Lange的计算公式，直接计算2D+E，减少了中间结果的计算量，使得计算效率提高6%~8%．该方案也可用于超椭圆曲线密码体制的数字签名验证和Weil/Tate对的计算．
Relationship Theorem between Nonlinear Polynomial Equation and the Corresponding Jacobian Matrix
Nonlinear computations Newton method Jacobian matrix nonlinear polynomial equations
2010/10/22
This paper provides a proof of a relationship theorem between nonlinear analogue polynomial equations and the corresponding Jacobian matrix. This theorem is also verified generally effective for all n...