【摘要】 提出了一个新的函数，并给出此函数的性质．利用它们分析广义Ｂｒｏｙｄｅｎ族．在较弱的条件下，对一致凸函数的无约束最优化问题，证明了带非精确线搜索的广义Ｂｒｏｙｄｅｎ族的全局和超线性收敛性，而且在较弱的条件下，证明了Ｂｒｏｙｄｅｎ族的全局和超线性收敛性．更多还原

【Abstract】 A new function is proposed. Some properties of this function are presental. Thebehavior of generalized Broyden’s family is analyzed by using these properties. Under mild conditions, it is proved the global and saperlinear convergence of generalized Broyden’s family withinexact line searches on uniformly convex function. Moreover, under weak conditions, theglobal and superlinear convergence of Broyden’s family is proved.更多还原