排序方式: 共有134条查询结果,搜索用时 15 毫秒
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利用牛顿迭代法作为预测步,用不动点迭代法作为修正步,结合filter技术,提出了求解非线性互补问题的两步迭代-filter算法,并证明了算法的局部三阶收敛性,最后通过数值实验表明该算法的有效性. 相似文献
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A multi-analytical approach for the study of brazilwood and its lake pigments was carried out based on historically accurate reconstructions. Recipes for brazilwood lakes from the fifteenth century technical text Livro de como se fazem as cores and the Winsor & Newton nineteenth century colourman's archive were reproduced and compared. Both primary sources allowed for the successful preparation of brazilwood lake pigments with colours that vary from light pink to dark red. The main steps and ingredients for the manufacture of these pigments were common in both sources, particularly the addition of Al3+ in the form of alum, and calcium carbonate (chalk). Reconstructions revealed that the latter acts as a pH buffer and filler, controlling the pH at which the lake pigment precipitates. The main difference between the two sources is that the nineteenth century recipes give the quantities for all ingredients, the precise temperatures and time, and achieved higher relative pigment yields (75% versus 45%). Full chemical characterisation of the reconstructions provided detailed information on the individual steps in the pigment manufacture and revealed that the presence of calcium sulphate dihydrate (gypsum) in the final pigment was a result of its formation in situ. Infrared, reflectance, and fluorescence spectroscopy proved to be essential and complementary techniques: while infrared was used to characterise additives and binders, reflectance and fluorescence data were fundamental for identifying the chromophore. The pigments and paints produced can now be used as standards for the identification and investigation of brazilwood lake pigments found in artworks. 相似文献
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Dipankar Bhattacharya 《Resonance》2006,11(12):35-44
Newton’s law of universal gravitation laid the physical foundation of celestial mechanics. This article reviews the steps
towards the law of gravitation, and highlights some applications to celestial mechanics found in Newton’sPrincipia.
His research interests cover all types of cosmic explosions and their remnants. 相似文献
4.
用传统的方法讲“牛顿第二定律”,学生理解上困难较大。通过探究式教学,激发学生的好奇心和求知欲,可培养学生对物理学的热爱和群体合作品质。 相似文献
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借助Fischer-Burmeister NCP函数将水平线性互补问题转化为带简单界约束的最优化问题,而后将一个修正渐近牛顿算法用来求解水平线性互补问题的,并给出数值实验,以说明算法是有效的。 相似文献
6.
诗人蒲柏曾给牛顿拟过一个碑文,后来虽未予采用,但该诗却流传甚广,很多关于牛顿的文章都引用过它。其后,另一个英国诗人J.C.斯奎尔,按同样的形式又续了一首诗。对于后一首诗准确的理解和翻译,曾经引起了一场很热烈的争论。 相似文献
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方程和方程组的解法一直是相关研究人员关注的焦点。针对非线性方程的解法做出智能化实现,以各种解方程的数学原理、方法为基础,以MATLAB为主要计算工具,编写程序实现智能化、最优化、简便化地解方程的根;进行各种分析,并应用于实际例子,验证其正确性、可行性以及智能化。 相似文献
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关于牛顿迭代公式的改进 总被引:2,自引:0,他引:2
朱琳 《宁夏师范学院学报》2011,32(3):88-89
经典的牛顿迭代公式是求解非线性方程的一个基本方法,它在单根具有平方收敛,在重根处只具有线性收敛,这里给出解非线性方程的牛顿迭代公式的一种改进,使得牛顿迭代公式在重根处也具有二阶收敛速度. 相似文献
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胡小平 《绵阳师范学院学报》2010,29(2):10-14,24
Newton identities是一个在初等数学领域中非常重要的恒定式,灵活巧妙地应用Newton identities及推论,可以使一些较为困难的问题迎刃而解。该文在对Newton identities及推论进行初等证明的基础上,论述了它在高师院校数学学院专业课程初等数论、竞赛数学、初等代数研究选讲中的应用。 相似文献