| 1. | Solutions to problems of algorithms for degree elevation of b - spline curves
样条曲线升阶算法中问题及其解决办法 |
| 2. | A great lot of analysis and experimental results indicate that the experiential formula can give more exact order than traditional methods , such as a1c , b1c , cat and svd
大量的试验与计算机仿真表明，该经验公式在短信号的分析中优于传统的信息量准则以及基于线性代数方法的奇异值分解( svd )定阶算法。 |
| 3. | Sa is a stochastic optimization technique and a zero - order algorithm requiring no derivative information and has been used extensively to solve continuous , ordered discrete and multi - modal optimization
模拟退火法( kirkpatrick等， 1983 )是一种随机的优化技术，它是零阶算法，不需要导数信息，广泛地用于解决连续的、有序离散及多模态优化问题。 |
| 4. | In the use of the recurrence definition and the matrix presentation of nurbs curve , the algorithm of curve is outlined from the correspondent algorithm of b - spline , concerning on the evaluating , derivative , integral , knots inserting and degree elevating
利用nurbs曲线基函数的定义和nurbs曲线的矩阵表示，从b样条的相关算法出发，可解决nurbs曲线的求值、求导、求积算法和nurbs曲线的节点、升阶算法等问题。 |
| 5. | According to the different ocean environment , range dependent and range independent inversion are studied and the inversion results are analyzed . ( 4 ) in order to reduce the snapshots needed by passive localization in complex ocean environment , reduced rank amfp frame is founded and many algorithms are compared . in mismatch environment , two robust amfp algorithms are compared
为了降低被动定位对快拍数的要求，建立了降阶自适应匹配场处理的通用结构，比较分析了多种降阶算法；对环境参数失配条件下的两种稳健amfp算法进行了性能对比；采用运动补偿的方法提高被动定位的精度；并采用实测数据对各种方法进行了评估。 |
| 6. | Two methods are given . one is obtained by using degree reduction of interval rational bezier curves in two parameter directions according to the character of tensor product , which is called " single step method " . by comparison for degree reductions produced by the different order in two parameter directions , the relationships of the approximation results are discussed
然后讨论了矩形域上区间有理bezier曲面的降阶问题，给出两种降阶算法：一个是针对张量积的特点将问题转变为两参数方向的区间有理曲线的降阶逼近，即“单步法” ，并讨论单步法沿两参数方向不同次序降阶的关系。 |
| 7. | The sculling error in the velocity calculation is described and the sculling optimal compensation algorithms are derived in the sculling base motion environment . for testing the sculling correction algorithms " performance , several simulations are practiced and the simulation results show that the sculling compensation term in the velocity integration algorithms can not be neglected for the high accuracy sins in highly dynamic environments . 3
分析了速度更新计算中划船误差的产生机理，详细推导了划船补偿算法并在划船运动条件下推导了划船补偿优化算法，最后对各阶算法进行了仿真分析，仿真结果表明：对处在高动态环境下的高精度导航系统，划船补偿不可忽略； 3 |
| 8. | For solving nonlinear optimization problems , newton method is one of the most efficient methods . as modification to newton method , inexact newton methods are popular for solving the middle and large scale noniinear optimization problems . among them , cf - pcg ( newton - pcg ) method is an efficient improvement to newton method
在非线性最优化的研究中，牛顿法是二阶算法，对牛顿法的改进，一直是人们关注的问题，近年来，用共轭梯度法对它进行改进，即研究牛顿- pcg型方法是国内外的一个研究热点。 |
| 9. | This dissertation studies mainly approximations to special classes of set - valued maps and their applications , in order to compute differentials of some class of set - valued maps and to solve basis theories of constructing high - ordered methods of nonsmooth functions . then results obtained in this dissertation are applied to optimality theories in optimization
本文针对研究非光滑函数的高阶算法的理论基础和集值映射的微分的计算的课题，主要研究几类特殊类型的集值映射的(方向)导数的计算与近似，并将得到的结果应用到优化的最优性理论中。 |
