SPD:对称正定矩阵
“对称正定矩阵”在数学及相关科学领域中具有重要应用,常被缩写为SPD。这一简写形式便于书写和使用,尤其适用于理论推导、数值计算和学术文献中。其英文全称为Symmetric Positive Definite matrix,是一种在优化、统计和工程等领域广泛使用的矩阵类型,具备对称性和正定性两大关键性质。
Symmetric Positive Definite matrix具体释义
Symmetric Positive Definite matrix的英文发音
例句
- In the matrix theory, n-order real symmetric positive definite matrix is important to the study of inequality.
- n阶实对称正定矩阵(SPD)在矩阵理论中,对它的不等式研究具有有十分重要的意义。
- If A is a symmetric positive definite matrix, then the quadratic form x ~ TAx can be written as a sum of squares. Equivalently, A is a sum of rank one matrices VV ~ T.
- 若A是对称正定矩阵(SPD),则二次型x~TAx能写成平方项的和,即A是秩为1的矩阵VV~T的和。
- Hadamard product of real positive definite matrix or iverse M-matrix and real symmetric positive definite matrix satisfying Oppenheim's inequality on Hadamard product of real symmetric positive definite matrix were proved.
- 证明了实正定矩阵或逆M-矩阵与实对称正定矩阵(SPD)的Hadamard乘积,满足实对称正定矩阵(SPD)的Hadamard乘积的Oppenheim不等式。
- The essential boundary conditions and volume incompressible conditions can be realized by employing the penalty parameters, so the symmetric positive definite system stiffness matrix can be yielded.
- 利用罚参数来实现稳态蠕变的不可压缩条件和本质边界条件,能够保证求解过程中刚度矩阵的对称正定性。
- From the formulas of the conjugate gradient, a similarity between a symmetric positive definite ( SPD ) matrix A and a tridiagonal matrix B is obtained. The elements of the matrix B are determined by the parameters of the conjugate gradient.
- 本文从共轭梯度法的公式推导出对称正定阵A与三对角阵B的相似关系,B的元素由共轭梯度法的迭代参数确定。
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