【摘 要】
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We present a new nonmonotone Chebyshevs method for solving nonlinear equations, and finding the largest eigenvalue of a nonnegative homogeneous polynomial m
【机 构】
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NanjingUniversityofAeronauticsandAstronautics
【出 处】
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2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
We present a new nonmonotone Chebyshevs method for solving nonlinear equations, and finding the largest eigenvalue of a nonnegative homogeneous polynomial map. The new algorithm has cubic local convergence which only needs to compute Jacobian matrix instead of three order tensor to obtain three order direction, and has global convergence by using the nonmonotone line search technique. Numerical results indicate that the proposed method is competitive and efficient on some test problems.
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