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大型法
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     Aiming at the difficulties of solving large-scale normal equation and error equation,it proposes a method on the basis of Cholesky decomposition principle. A good sequence for matrix is arranged,and the triangular matrices for Cholesky decomposition contain less non-zero elements.
     针对大型法方程和误差方程解算问题,提出为矩阵寻求一个好的排序,使得它的Cholesky分解后的下三角矩阵有较少的非零元素个数。
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     Bulk Heat Treatment of Large-Scale Equipment with Electric Heating Method
     大型设备电加热整体热处理
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     The Method of Normal Mean for Large Groups Decision Making
     大型群组决策的正态均值
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     On Mediation Method
     论和
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     However, the essential content of law has its own form which is the inner structural character.
     的权威性;
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  macro method
A simple and rapid procedure for the determination of nitro groups in organic compounds, based on the usual macro method of reduction with titanous sulphate, has been described.
      
The micro method, applied to flours with an without additions of ascorbic acid, is compared with the usual macro method.
      
For unknown reasons, the micro method gives higher results for water in silicate rocks than does the customary macro method.
      
A number of 10-mg samples of pure aconitic acid and equivalent amounts of its salts were analysed by this modified method and the same precision (± 0.01) was obtained as with the corresponding macro method.
      
Similar workplaces on which the macro method was not applied were used as a control group.
      
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Aiming at the difficulties of solving largescale normal equation and error equation, the nonzero structure decomposition of symmetric matrices is introduced, thus the seats and numbers of nonzero elements of triangular matrix would be determined, the store places would be distributed in advance, and the numerical solution can be calculated on the seats of nonzero elements.

针对大型法方程和误差方程解算问题,导出了稀疏对称正定矩阵基于Cholesky分解的非零结构,可以预先确定下三角矩阵中非零元素的位置和个数,从而可预先分配其存储空间。对其后的数值计算,只需按照已安排好的非零元素的位置进行计算,即可得到数值解。

Aiming at the difficulties of solving large-scale normal equation and error equation,it proposes a method on the basis of Cholesky decomposition principle.A good sequence for matrix is arranged,and the triangular matrices for Cholesky decomposition contain less non-zero elements.The structured decomposition of symmetric matrices is introduced,and the seats and numbers of non-zero elements of triangular matrix will be determined.The store places will be distributed in advance,and the numerical solution can be...

Aiming at the difficulties of solving large-scale normal equation and error equation,it proposes a method on the basis of Cholesky decomposition principle.A good sequence for matrix is arranged,and the triangular matrices for Cholesky decomposition contain less non-zero elements.The structured decomposition of symmetric matrices is introduced,and the seats and numbers of non-zero elements of triangular matrix will be determined.The store places will be distributed in advance,and the numerical solution can be calculated on the seats of non-zero elements.Lastly,the related methods and the numerical results are given.

针对大型法方程和误差方程解算问题,提出为矩阵寻求一个好的排序,使得它的Cholesky分解后的下三角矩阵有较少的非零元素个数。同时介绍稀疏对称正定矩阵的Cholesky结构分解,它可先确定下三角矩阵中非零元素的位置和个数,从而预先分配其存储空间,且在数值计算时,只需按照已安排好的非零元素的位置进行计算,即可得到数值解。最后给出实现方法和数值试验结果。

 
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