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1.
许志文 《华东地质学院学报》2000,23(1):87-89
介绍了对稀疏矩阵进行压缩存储时,稀疏矩阵相乘运算的基本思想和算法.在此基础上,探讨了避免矩阵中零元素相乘的无效操作,奠定了该算法的矩阵变换基础. 相似文献
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在多级模糊综合评判的数学基础上,提出利用测井资料识别煤田钻孔剖面上煤和岩性的方法。采用频数统计方法,建立第一级评价矩阵及权数向量,以正态分布型隶属函数形成第二级评价矩阵,对评价矩阵与权数矩阵作模糊运算获得评判结果。处理实例证明了这种方法的可靠性。 相似文献
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针对传统LSQR反演算法计算时间长、占用内存大的不足,这里提出了一种LSQR的快速算法,通过线性三元组存储稀疏矩阵,实现相应的矩阵运算,使LSQR算法的运算速度及内存占用都有较大地改善。 相似文献
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林鹭 《华东地质学院学报》2003,26(2):113-114
通过分析Faure序列的结构，得到Faure序列的周期性以及模2下Faure序列的快速算法。该算法无需直接写出相关矩阵，仅包含矩阵及向量的逻辑运算和加法运算，不包含乘法运算。 相似文献
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用高斯-牛顿迭代算法分析非稳定流抽水试验数据,使用LOTUS1-2-3的电子报表、数据库管理、图形技术、矩阵运算等功能,可计算出多次迭代运算后最佳含水层导水系数T,储水系数μe和渗透系数k,计算过程简洁、省时、高效。 相似文献
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竖向荷载下桩基础弹性分析的改进计算方法 总被引：1，自引：0，他引：1
将Randolph剪切位移方法中桩身位移与桩端位移的函数关系简化为一多项式,并与Poulos积分方程中土体柔度系数矩阵相结合,提出了一种竖向受荷单桩弹性分析的改进计算方法,从而避免了Poulos积分方程法中的差分运算以及由此带来的其他矩阵运算,同时比Randolph方法更能准确模拟桩身剪切应力的分布,并将单桩的改进计算方法应用于群桩分析。将改进的计算方法与Poulos、Randolph方法以及Chow混合方法的单桩和群桩计算结果进行了比较,结果表明：改进计算方法是可行的,可满足精度要求。 相似文献
7.
本文通过对黑旺铁矿矿坑涌水的条件分析，采用模糊数学理论中综合评的方法对矿坑涌水量进行了预测。在评判过程中，首先利用模糊统计方法建立起综合评判的变换矩阵，再用Ｆｕｚｚｙ矩阵的复合运算，得到了综合评判结果，即预测结果。 相似文献
8.
前言矩阵分解的分层解释方法早在七十年代末就有介绍,但它仅把对称正定带型矩的乔累斯基分解算法直接应用在分层解释中的线性方程组求解上。因此,无论是算法的简易程度,还是运算的工作量都不易被人们接受,它仅作为一种原理性的探讨出现在刊物上。近几年来,笔者在探讨矩阵分解时发现:分解后的系数半带矩阵并非无序可循,而在该矩阵的半带宽内,每相邻行的元素随着行号的加大将趋于相同。因此,我们在矩阵的分解计算中可大大简化矩阵,去掉不必要的重复计算,也不必采用文献所介绍 相似文献
9.
利用小波变换快速反演大型磁数据 总被引：4，自引：0，他引：4
我们应用小波变换反演大型磁数据,恢复三维磁化率分布问题,快速小波变换通过给出小波系数的门槛值来产生灵敏度矩阵表达式,在波域进行正演模拟计算,通过小波域内稀疏矩阵矢量的乘积运算,和压缩后的矩阵来实施快速正演模拟,所用ＣＰＵ的时间的减少与矩阵压缩在正比,而且,我们采用对数阻尼法,用共轭梯度解算器来获得反演结果,这种求解手段的组合,直接减少了正演模拟的时间,进而加快了反演速度,产生了更的三维磁反演算法。 相似文献
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Michael W. Davis 《Mathematical Geology》1987,19(2):99-107
An algorithm for producing a nonconditional simulation by multiplying the square root of the covariance matrix by a random vector is described. First, the square root of a matrix (or a function of a matrix in general) is defined. The square root of the matrix can be approximated by a minimax matrix polynomial. The block Toeplitz structure of the covariance matrix is used to minimize storage. Finally, multiplication of the block Toeplitz matrix by the random vector can be evaluated as a convolution using the fast Fourier transform. This results in an algorithm which is not only efficient in terms of storage and computation but also easy to implement. 相似文献
12.
Michael W. Davis 《Mathematical Geosciences》1987,19(2):99-107
An algorithm for producing a nonconditional simulation by multiplying the square root of the covariance matrix by a random vector is described. First, the square root of a matrix (or a function of a matrix in general) is defined. The square root of the matrix can be approximated by a minimax matrix polynomial. The block Toeplitz structure of the covariance matrix is used to minimize storage. Finally, multiplication of the block Toeplitz matrix by the random vector can be evaluated as a convolution using the fast Fourier transform. This results in an algorithm which is not only efficient in terms of storage and computation but also easy to implement. 相似文献
13.
文章介绍了超细FeCoCu预合金粉末应用于金刚石钻头胎体中的试验研究。通过基础性试验测试表明：在663Cu含量为30%的前提下,在金刚石钻头胎体组成成分中添加FeCoCu预合金粉末,通过调节其与WC粉末的配比关系,能够有效地调节钻头胎体硬度,适应不同的地层。通过回归分析得到了胎体硬度与FeCoCu粉末加量的数学关系式,由此关系式可预测胎体硬度或计算FeCoCu粉末加量。经过野外实际钻进试验证明：添加了FeCoCu粉末的金刚石钻头胎体综合性能具有较大的提高,为后续钻头耐磨性研究提供了经验积累。 相似文献
14.
Quasi-symmetry can be defined as a purely mathematical property of a matrix—that is, any matrix whose entries are strictly positive possesses quasi-symmetry if it can be written as a product of a diagonal and a symmetric matrix. A unique inverse solution for a quasi-symmetric matrix is readily obtained when the nondiagonal elements of the symmetric and quasi-symmetric matrix are set equal. Then it is shown that a Markov sequence is reversible if and only if it has a quasi-symmetric tally matrix. Because a properly counted Markov sequence must have marginal homogeneity, a simple chi-square test for symmetry on the tally matrix is sufficient to determine if an observed matrix is symmetrical and hence whether the Markov chain is reversible. Applications to sedimentary sequences are illustrated by the use of classical examples and with cyclothem data to determine if the sequence conforms to a reversible or nonreversible Markov process. Should the tally matrix lack marginal homogeneity, it is likely that a sampling bias was introduced by the counting procedure. However, a chi-square test for symmetry on a direct inverse of the tally matrix can be used to determine if the sedimentary sequence conforms to a reversible or a non-reversible Markov process. 相似文献
15.
A model of a multivariate covariance function with an ellipsoidal directional correlation scale has been developed. The axes of the ellipsoidal scale are related to the eigenvalues and eigenvectors of a matrix B which characterizes the ellipsoid of the range of influence. The matrix B is found to be related to a matrix T which can be estimated directly from sparse sampling data and can be used to determine estimates of the matrix B. The method has been applied to both two-dimensional and three-dimensional cases. The numerical results show that the satisfactory accuracy is obtained with sparse sampling data from an anisotropic random function. 相似文献
16.
Michael L. Stein 《Mathematical Geology》1986,18(7):625-633
Marshall and Mardia (1985) and Kitanidis (1985) have suggested using minimum norm quadratic estimation as a method to estimate parameters of a generalized covariance function. Unfortunately, this method is difficult to use with large data sets as it requires inversion of an n × n matrix, where n is number of observations. These authors suggest replacing the matrix to be inverted by the identity matrix, which eliminates the computational burden, although with a considerable loss of efficiency. As an alternative, the data set can be broken into subsets, and minimum norm quadratic estimates of parameters of the generalized covariance function can be obtained within each subset. These local estimates can be averaged to obtain global estimates. This procedure also avoids large matrix inversions, but with less loss in efficiency. 相似文献
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Roger Powell 《Contributions to Mineralogy and Petrology》1990,106(1):61-65
Fisher (1989) advocated using the Singular Value Decomposition (SVD) of the composition matrix of a set of minerals for the determination of reactions between the minerals, and therefore of the compatibility relationships between mineral assemblages. The advantage of using the SVD for this is that an independent set of reactions, the left nullspace of the composition matrix, can be determined for a rank-deficient composition matrix which is close to, or within error of, the observed matrix. The zero singular values in the SVD can be identified by propagating the measurement uncertainties through to the singular values, and saying that singular values are zero if they are within error of zero. Having obtained an independent set of reactions, the reactions in the independent set can be combined linearly to find the full set of reactions. Propagating the measurement uncertainties through to the left nullspace of the composition matrix, the uncertainties in the coefficients of the reactions in the independent set can be determined. From these uncertainties, the uncertainties in all of the reactions can be determined, allowing the identification of reactions which are degenerate within error. This is important because it allows the identification of ambiguities in the compatibility relationships between mineral assemblages. 相似文献
19.
实现稀疏反褶积的预条件双共轭梯度法 总被引：9，自引：3，他引：9
地震勘探稀疏反褶积计算一般要导出一个Toeplitz矩阵的线性系统，通常可以用矩阵求逆、Levison递推及共轭梯度等方法直接求解。当Toeplitz矩阵的条件数很大时，数值稳定性差，甚至无法求解。使用共轭梯度法，在矩阵的对角元素上加入规则化因子，可以改善这种情况，但不能彻底解决数值稳定性和精度问题。若求解最小二乘问题的原始问题，结果会好些。线性系统形式的细微改变，将导致不同的数值计算特性。在规则化策略基础上，可巧妙地构造稀疏反褶积的问题原型，引入预条件，采用双共轭梯度法求解，从而实现稀疏反褶积，获得较好结果。数值算例表明，预条件双共轭梯度法比直接稀疏反褶积方法收敛快、精度高。 相似文献
20.
地震照明分析能够定量分析影响逆时偏移成像质量的因素。文章基于Poynting矢量方法进行地震定向照明分析及成像补偿方法研究,利用Poynting矢量进行波场传播角度分解,通过计算不同入射及散射波方向的部分照明建立局部照明矩阵。该矩阵包含了照明分析中波与地质结构相互作用所涉及的所有角度信息,可以方便地分析目标附近所有可能的入射波和散射波对局部照明的贡献。根据局部照明矩阵可以获得对地下结构的照明描述、采集倾角响应,并依此进行成像补偿计算。以SEG/EAGE模型作为数值计算实例,进行基于Poynting矢量的照明分析及成像补偿,有效地提高了成像质量。该方法为角度域逆时偏移成像校正及分辨率分析等提供了高效的处理手段。 相似文献