【摘要】 利用免逆牛顿法及区间算法理论,研究对称张量Z-特征对的可信验证问题,提出了一种计算Z-特征对的区间算法.该算法通过输出一个近似Z-特征对及其相应的误差界,使得在近似解的误差范围内必存在一个精确的Z-特征对.更多还原

【Abstract】 By using the inverse-free Newton’s method and the interval algorithm theory,we studied the credibility verification of Z-eigenpairs of symmetric tensors,and proposed an interval algorithm to calculate Z-eigenpairs.The algorithm output an approximate Z-eigenpair and its corresponding error bound,so that an exact Z-eigenpair of symmetric tensors must exist within the error range of the approximate solution.更多还原