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

  • 英文缩写:SPD
  • 英语全称:Symmetric Positive Definite matrix
  • 中文意思:对称正定矩阵
  • 中文拼音:duì chèn zhèng dìng jǔ zhèn
  • 相关领域spd 数学

Symmetric Positive Definite matrix的英文发音

例句

  1. In the matrix theory, n-order real symmetric positive definite matrix is important to the study of inequality.
  2. 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。
  3. 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.
  4. 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。
  5. 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.
  6. 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。
  7. 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.
  8. 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。
  9. 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.
  10. 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。