一种病态问题诊断的数值指标——矩阵向量正交度
A Numerical Value Index Applied to Diagnosis of Ill-conditioning Problems:Orthogonal Degree of Matrices
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摘要: 基于矩阵体积的概念,引入矩阵向量正交度,对病态问题的行列式诊断方法进行了推广和扩展。研究发现,矩阵向量正交度应用于病态问题诊断,克服了行列式法的诸多缺点。Abstract: Based on the conception of the matrix volume,we presented the definition of the orthogonal degree of the matrices,generalized and extended the determinant method mentioned above.As the orthogonal degree of the matrices was applied to the ill-conditioning problems diagnostics,it is applicable to any matrices,and overcomes the drawbacks of the determinant method.
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