Certificate of the existence of formula root 例说方程根存在的证明
By means of constructional iterative equation , this paper presents a way to give out the existence and singularity of a type of equational root with gradual approach method 摘要本文通过构造迭代函数,利用逐次逼近的方法给出了一类方程根的存在性与唯一性的判断的一种解决方案。
To solve the polynomial equation ? ( z ) = 0 , this paper proposes a simultaneous iteration and investigates its convergence and initial condition . it proves that the convergence has order 3 under the initial condition 摘要采用文[ 1 - 3 ]中提到的加速方法,对经典的牛顿迭代法进行加速,得到了一个新的求多项式方程根的迭代法,主要对其收敛性进行了分析,得到了在较好的初始条件下该法是3阶收敛的。
方程: equation根: root特征方程根: root of the characteristic equation性能方程根: performance equation root滚转运动方程根: rolling root纵向运动方程根: longitudinal root方程: [数学] equation 三次方程 cubic equation; 高次方程 equation of higher degree; 线性方程 linear equation; 把方程式简化成 ... reduce the equation to ...; 物态方程 equation of state; 化学方程 chemical equationbet方程: brunauer-emmett-teller equationkdv方程: kdv equation; kortewegde vries equationlk方程: lee-kesler equationpr方程: peng-robinson equationriccati方程: riccati equationroothaan方程: roothaan equations闭方程: closing equation波方程: wave equation场方程: field equation捶方程: dyson equation次方程: equation of n th order等式,方程: equation点方程: point equation法方程: normal equation番方程: diophantine equation方程,等式: equation方程解: solution of equation方程论: theory of equations