共查询到20条相似文献，搜索用时 140 毫秒
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从目标函数的线性化出发,采用奇异值分解法求广义逆矩阵并适当加阻尼,用迭代法直接解超定方程实现改进广义逆矩阵反演。进一步从理论与实际结合上阐明改进广义逆矩阵反演法的灵活、稳定,它涵盖了多种反演方法的优点,又具有自身特点,在实际应中适应性强,并能提供一些辅助信息,可更好地评价解释结果。 相似文献
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阐述了用广义逆矩阵反演瞬变电磁测深资料的方法和实际效果,重点解决大偏移距电偶源瞬变电磁测深资料的反演。 相似文献
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地基沉降预测模型的正则化算法 总被引：1，自引：0，他引：1
通过分析地基沉降预测模型,指出最小二乘的病态性会导致模型参数求解失败。应用正则化理论,基于矩阵求逆理论,提出了一种沉降预测模型参数的正则化无偏估计算法,说明了新算法的无偏性和方差最小性。在一定条件下,证明了新算法中正则参数的存在性,并给出了正则参数的计算公式。结合文献和工程实例进行的分析表明,新算法降低了矩阵条件数,减轻矩阵病态程度,能有效求得地基沉降预测模型参数。 相似文献
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阐述了用广义逆矩阵反演瞬变电磁测深资料的方法和实际效果,重点解决大偏移距电偶源瞬变电磁测深资料的反演。 相似文献
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抛物Radon变换法(Parabolic Radon Transform)在地震资料处理中有广泛的应用。PRT可对不同频率的地震数据解耦处理,这一特点使得抛物Radon变换的计算效率比双曲Radon变换有数量级上的提高。在频率域求解时,需要对每一个频率成份求解同样大小的线性方程组。求解抛物Radon正变换的计算方法主要有Levinson递推法、共轭梯度法、Cholesky分解法和直接矩阵求逆法。最小平方抛物Radon正变换所形成的矩阵具有Toeplitz结构,可采用Levinson递推法进行计算。高分辨率抛物Radon正变换所形成矩阵的Toeplitz结构被破坏,一般采用共轭梯度法或Cholesky分解法进行求解。这里详细推导了复Toeplitz矩阵的Levinson递推算法,并分别对求解方程的四种方法进行了讨论,最后给出抛物Radon正变换求解的数值算例,并对所给出的四种方程求解方法的计算效率及计算精度进行了对比。 相似文献
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给出了求解非光滑方程组的Newton—GMRES迭代法。该方法在求解半光滑方程组时，不需要计算广义Jacobi矩阵，同时使求解相应广义Newton方程组也变得容易。尤其对于大型问题，该方法特别适用。数值例子显示了这种方法的有效性。 相似文献
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本文较详细地叙述了逆矩阵法、组合逆矩阵系数法和逆矩阵系数法分层解释的基本原理。通过三种方法的模型解释结果对比，发现组合逆矩阵系数法和逆矩阵系数法，可以替代逆矩阵法。实验证明：组合逆矩阵系数法受底数影响小，而逆矩阵系数法计算简单、运算速度快。实际工作中，要求参加解释的底数占应尽可能多，解释时最好是去除底数。 相似文献
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利用非交换主理想整环R上矩阵与R所嵌入的商除环K上矩阵的秩之间的关系，以矩阵秩的表达式给出三矩阵乘积的Moore—Penrose逆的顺序律(ABC)^ =A^ B^ C^ 成立的若干个充要条件，此处A，B，C是R上的矩阵，M^ 表示矩阵M的Moore-Penrose逆。 相似文献
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颗粒材料的亚塑性模型以Jaumann应力率张量及变形率张量描述本构关系,基于Cauchy应力的Jaumann速率及变形率给出了有限元的切线刚度矩阵,由此指出在严格意义上基于ABAQUS二次开发的亚塑性模型数值实现必需借助UEL接口。为了简化程序开发,文中建议了与有限元相结合的两种近似切线模量矩阵,即基于矩阵广义逆一致性切向模量矩阵与近似切向模量矩阵,从而形成了通过UMAT接口实现亚塑性模型的数值方案。由此降低了程序开发的难度,同时也可借助ABAQUS的后处理功能,提高了工作效率。数值算例表明了所开发程序的正确性以及所建议方案的可行性。 相似文献
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Amalgamation of parts of a composition has been extensively used as a technique of analysis to achieve reduced dimension,
as was discussed during the CoDaWork'03 meeting (Girona, Spain, 2003). It was shown to be a non-linear operation in the simplex that does not preserve distances
under perturbation. The discussion motivated the introduction in the present paper of concepts such as group of parts, balance
between groups, and sequential binary partition, which are intended to provide tools of compositional data analysis for dimension
reduction. Key concepts underlying this development are the established tools of subcomposition, coordinates in an orthogonal
basis of the simplex, balancing element and, in general, the Aitchison geometry in the simplex. Main new results are: a method
to analyze grouped parts of a compositional vector through the adequate coordinates in an ad hoc orthonormal basis; and the study of balances of groups of parts (inter-group analysis) as an orthogonal projection similar
to that used in standard subcompositional analysis (intra-group analysis). A simulated example compares results when testing
equal centers of two populations using amalgamated parts and balances; it shows that, in certain circumstances, results from
both analysis can disagree. 相似文献
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在矩阵理论中,经常利用矩阵来描述变换。在实空间中正交变换保持度量不变,而正交变换中对应的变换矩阵就是正交矩阵,所以对正交矩阵的研究就显得格外重要。同样道理,想要得到复空间中保持度量不变的线性变换,就应该对正交变换进行推广,将其推广到复数域上,那对应的正交矩阵相应的也推广到复数域——酉矩阵。通过矩阵理论的深入研究,对正交矩阵与酉矩阵进行比较,得到了酉矩阵的若干结果。 相似文献
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Antti Sorjamaa Amaury Lendasse Yves Cornet Eric Deleersnijder 《Computational Geosciences》2010,14(1):55-64
In this paper, an improved methodology for the determination of missing values in a spatiotemporal database is presented.
This methodology performs denoising projection in order to accurately fill the missing values in the database. The improved
methodology is called empirical orthogonal functions (EOF) pruning, and it is based on an original linear projection method
called empirical orthogonal functions (EOF). The experiments demonstrate the performance of the improved methodology and present
a comparison with the original EOF and with a widely used optimal interpolation method called objective analysis. 相似文献
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A new approach has been arrived at for determining the linear unbiased minimum variance estimate of ore reserves, or the Kriging. The approach rests heavily on geometric intuition, which reduces the estimation to the simple task of determining an orthogonal projection. First, the problem is presented and solved in ordinary three-dimensional space. The result is stated in matrix formulation, lending itself to a simple generalization in higher dimensions. Then, the general problem is stated in random-variable notation and solved via the results derived. Finally, an illustrative example is given to demonstrate the new approach. 相似文献
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在高精度物探重力测量中,需要提供高精度的平面位置和高程。在物探长剖面测量中,对东西跨度较大的线路进行控制测量时,高斯-克吕格投影分带和高程引起的投影变形较大,不能满足长距离重力测量对精度的要求。基于高斯-克吕格投影的基本理论,采用斜轴变形椭球高斯投影方法,结合最小二乘法、坐标转换理论及椭球变换,将原始椭球构建斜轴变形椭球,可以减小高斯投影横坐标和高程投影变形的影响,避免高斯投影分带过多对应用的影响。以漠河—呼和浩特物探长剖面测地数据为例,利用GPS快速静态测量获得平面和高程位置,测点距离约1km,通过斜轴高斯投影进行投影,最大平面精度为67.87mm/km,最大高程精度为53.039mm/km,最大投影综合变形的中误差为88.51 mm/km,大大减小了投影变形,提高了地图投影精度。因此,该投影在跨度物探长剖面测量中的应用具有一定优势。 相似文献
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本文提出了一种适用于浅层地质构造特征的倾斜层状介质模型,并建立了与其相应的虚拟射线模型,由此导出了一套反演递推公式。讨论了有关的参数求取,并实现了对倾斜展状折射界面均能普遍适应的折射波共始点或共折射点反演成像。 相似文献
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The junction angle between the western Charlie-Gibbs transform fault and the spreading axis of the Mid-Atlantic Ridge diverges by 40° from the orthogonal intersection assumed in many studies of plate boundaries. This has been established by a surface-ship reconnaissance and by mapping fault trends in a transponder-navigated deep-tow survey of the fracture valley 25 km from the intersection. One set of normal faults trends 325–330°, parallel to the obliquely spreading ridge axis, and another set trends 275°, parellel to the direction of relative plate motion. Although the near-bottom survey was in the theoretically inactive part of the fracture zone, beyond the transform fault section, there is evidence for recent motion on faults that cut the thick sediment fill of the fracture valley.Oblique spreading of a ridge axis near a transform fault may result from distortion of the regional stress field by a strike-slip couple. Tension parallel to the long axis of the strike-slip strain ellipse, which is responsible for oblique normal faulting in transform valleys, causes oblique dike injection and oblique faulting in the axial rift valley. These effects extend further from transfrom fault intersections on slow-spreading ridges than on fast-spreading rises. 相似文献