| 1. | Robust tikhonov regularization method and its applications
正则化方法及其应用 |
| 2. | Study of travel time tomography by iterative tikhonov regularization inversion
正则化反演研究 |
| 3. | The numerical differentiation of first and second order with tikhonov regularization
正则化方法求一阶和两阶的数值微分 |
| 4. | Then , in the light of the characteristic , based on the tikhonov regularization theorem , two new regularizers are designed to mitigate the ill - condition of the normal matrix in gps rapid positioning
基于tikhonov正则化原理，针对这种特性，设计了两种正则化矩阵r的构造方法。通过新的正则化矩阵的作用，减弱了法矩阵的病态性。 |
| 5. | The use of tikhonov regularization theory was to solve ill - posed problem of image reconstruction and the use of sirt algorithm was to improve the quality of the final reconstructed image
为了克服图像重建中的不适定性问题，利用tikhonov正则化原理进行初始图像重建。 sirt算法则用来对初始重建图像进行迭代改善以获得最终重建图像，改善了重建图像的质量。 |
| 6. | ( 5 ) three ert reconstruction algorithms are analyzed and compared by the simulation gas / liquid two - phase flow experiment data . their name is the sensitivity coefficient algorithm , the combination algorithm of tikhonov regularization and algebraic reconstruction technique ( art ) and the modified bfgs ( mbfgs ) algorithm
( 4 )对实验中测得的图像数据，分别采用了灵敏度系数法、 tikhonov正则化技术和art相结合的组合型图像重建算法、改进的bfgs算法进行离线成像。 |
| 7. | It is a combination of tikhonov regularization and algebraic reconstruction technique ( art ) . it is found that the algorithm is stable and the influence of data fluctuation on image reconstruction is eliminated . furthermore , the qualities of the images reconstructed by using the proposed algorithm are improved
建立了新的ert图像重建算法的数学模型，提出了一种将tikhonov正则化方法和代数重建算法（ art相结合的组合型图像重建算法，研究表明该算法是一种较为稳定的算法，具有克服测量数据波动对图像重建的影响的能力，同时仿真研究表明该算法在一定程度上提高了图像重建的质量。 |
| 8. | Based on tikhonov regularization method and considering sufficiently the practice of geodesy , the main thread of the choice of the regularizer and the determination of the smoothing parameters is grasped and the in - depth research on the ill - posed problems in geodesy is carried out . a framework of the theory and methods of systematically processing the ill - posed problems has been established and tikhonov regularization method has been evolved in this paper
本文基于tikhonov正则化方法和欧吉坤研究员提出的选权拟合的研究思路，充分考虑大地测量实际，抓住正则化矩阵的选取和正则化参数的确定这条主线，对大地测量中的不适定问题进行了深入研究，建立起了一套较系统的不适定问题处理理论及方法的框架，进一步发展了tikhonov正则化方法。 |
| 9. | The voidage measurement and flow pattern identification technique of gas - liquid two - phase flow were studied . experimental results show that the developed measurement technique is effective . the main works are listed as the following : a new hybrid image reconstruction algorithm which combines tikhonov regularization theory with sirt ( simultaneous reconstruction technique ) algorithm was presented
本文基于电容层析成像技术( ect - electricalcapacitancetomography ) ，对气液两相流的空隙率测量和流型辨识方法进行了研究，并通过实验进行了验证，得到了一些有益的结论：提出了一种基于tikhonov正则化原理和sirt ( simultaneousreconstructiontechnique )算法相结合的组合型量化图像重建新算法。 |
| 10. | This thesis is to recommend a important class of regularized strategies for solving inverse problems - mollifier method . it anaysises the consistency , numerical stability and error estimates of mollified solution . similar to tikhonov regularization , a discrepancy principle for selecting the mol - lifier parameter is proven and applications to numerical differentiation and numerical inversion of abel transform and also given
本文将介绍求解反问题的一类重要的正则化策略?缓镇法，并基于用gauss核构造的缓镇算子，分析了缓镇解的相容性、数值稳定性和误差估计，与tikhonov正则化类似，我们证明了决定缓镇参数的偏差原理。 |
