严格单调递增函数的英文

• strictly monotone increasing function

• "严格"英文翻译    strict; rigorous; rigid; str ...
• "单调"英文翻译    monotonous; dull; drab; mono ...
• "递增函数"英文翻译    increasing function
• "严格单调递增" 英文翻译 :    strictly increase monotonically; strictly monotone increasing
• "单调递增函数" 英文翻译 :    monotone increasing function; monotonic increasing function
• "严格单调递减函数" 英文翻译 :    strictly monotone decreasing function
• "严格单调递减" 英文翻译 :    strictly decrease monotonically; strictly monotone decreasing
• "严格递增函数" 英文翻译 :    strictly increasing function
• "严格单调函数" 英文翻译 :    strictly monotone function; strictly monotonic function; strictly unimodal function
• "单调递增" 英文翻译 :    isotonic; monotone increasing; monotonic increasing
• "增函数 单调非减函数 递增函数 上升函数" 英文翻译 :    increasingfunction
• "严格单调" 英文翻译 :    strictly monotone; strictly monotonic
• "递增函数" 英文翻译 :    increasing function
• "非递增函数" 英文翻译 :    nonincreasing function
• "严格单递增的" 英文翻译 :    strictly monotone increasing
• "单调递减函数" 英文翻译 :    monotone decreasing function; monotonic decreasing function
• "单调非增函数" 英文翻译 :    decreasing function; monotone nonincreasing function; monotonically nonincreasing function
• "增函数" 英文翻译 :    increasing function
• "单调递减" 英文翻译 :    monotone decreasing; monotonic decreasing
• "单调递减序列" 英文翻译 :    monotone decreasing sequence
• "严格单弹数" 英文翻译 :    strictly monotonic function
• "严格单党射" 英文翻译 :    strictly monotonic mapping
• "严格单凋列" 英文翻译 :    strictly monotonic sequence
• "不增函数" 英文翻译 :    nonincreasing function
• "非增函数" 英文翻译 :    nonincreasing function

• One of its most important applications is to improve the optimization algorithms by evaluating the relevant derivatives information efficiently the aim of the work includes : to establish and study new algorithms - - cf - pcg algorithrns with ad ; to establish and study the extended cf - pcg algorithm ( ecfpcg ) . cf - pcg algorithms with ad is proposed on the basis of cf - pcg algorithms with sd , in addition to replace sd with ad , there are other significant modification to the algorithms . the results by theoretical analysis and numerical experiments implicate that cf - pcg algo - rithm with ad is an improvement to newton method with ad
  论文首次将自动微分应用于牛顿- pcg型算法，构造了新算法，并从理论上比较了新算法与牛顿法的效率，证明了新算法的效率严格大于牛顿法的效率，而且新算法与牛顿法的效率比分别是问题维数n和目标函数复杂性的严格单调递增函数，当n趋于无穷大时，这个效率比的下界以ln ( n ) ln2的速率趋于无穷大。