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- A Remark of Unsymmetrical Tridiagonal Matrix Transform to Complex Symmetric Matrix 非對稱三對角陣化為複數域上的對稱陣的註記
- A real symmetric matrix A can be expressed as ??. 一個實對稱矩陣A能被表示為??。
- complex symmetric matrices 復對稱矩陣
- Introduces the two-eigenvalue problem of a symmetric matrix and gives a formula to compute the matrix. 摘要介紹了對稱矩陣的兩特徵值問題,並給出了計算公式。
- In the discussion of Euclid space ,the matter if n order real symmetric matrix A is positive definite remained important in the theory of matrix . 討論Euclid空間中n階實對稱矩陣A是否正定,一直是矩陣理論中的重要問題。
- As for computing the largest eigenvalue and its eigenvector of a higher-order real symmetric matrix in the algorithm, the power method is used. 對於演算法中涉及的求高階實對稱陣的最大特徵值及其特徵向量,採用冪法加以實現。
- By using the contain theory and partition theorem of symmetric matrix three conjectures about YANG Hui matrix are cetified. 它使用了對稱矩陣特徵根的包含原理和分隔定理,並利用了正矩陣特徵根的性質。最後證實了關於楊輝矩陣的三個猜想。
- The preconditioning techniques for computing approximation of the large symmetric matrix are introduced, and improved algorithm and its convergence are presented. 首先引入求解大型對稱特徵值問題的預處理技術,給出了改善後的演算法及相應的演算法收斂分析。
- Furthermore, the double complex symmetric gravitational action in the double noncommutative spacetime can be constructed by extending the double complex coordinates to the double noncommutative relation satisfied and by doubling the Moyal star product. 同時,通過將二重複坐標推廣到滿足二重非對易關係以及Moyal星積的二重化,構造出二重非交換復對稱引力場作用量。
- To solve this problem, two key inequalities are presented.The inequalities are used to improving the smoothed complexity of condition number of symmetric matrix. 然後將這兩個不等式用於對稱矩陣條件數的平滑分析,得到更簡單、更低的平滑複雜度;
- With this algorithm,the number of eigenvalues of a real symmetric matrix in the given interval can be counted,and the eigenvalues of the matrix can be calculated. 該演算法可求出實對稱矩陣在給定區間內的特徵值的個數,並可計算滿足精度要求的特徵值。
- And then, they establish the global convergence theory of the algorithm when the system matrix of the linear complementarity problem is an H-matrix or a symmetric matrix. 當問題的係數矩陣為對角元為正的H-矩陣或對稱半正定矩陣時,證明了演算法的全局收斂性;
- In addition,we studied the relation between symmetric matrix and sub-involutory matrix,and the relation between symmetric matrix and sub-orthogonal matrix,which have been proved theoretically. 研究了次對稱矩陣的性質,次對稱矩陣與次對合矩陣,次正交矩陣的關係,並加以理論證明,得到了一些重要的結論。
- This paper presents a algorithm for distinguishing a real symmetric matrix into a positive definite, positive semidefinite, negative definite, negative semidefinite or non-definite matrix. 給出判別實對稱矩陣為正定、半正定、負定、半負定或不定的一個演算法;採用選最大對角元的方法,可使數值計算穩定性好。
- A method of estimating the maximum and minimum eigenvalue of real symmetric matrices is given in this article, and its application is also discussed. 摘要本文給出了實對稱矩陣最大與最小特徵值的一種估計方法及其應用。
- Davidson method and Newton method are two effective methods for computing the extreme eigenvalues of symmetric matrices. Davidson方法和Newton方法是求解對稱矩陣特徵值的兩種有效方法。
- We extend Hua's fundamental theorems of the geometry of self-adjoint matrices and symmetric matrices to the infinite-dimensional case. 摘要本文分別將華氏自伴矩陣幾何與對稱矩陣幾何基本定理推廣到無限維的情形。
- If a symmetrical matrix is positive definite, the determinants of all its minors are also positive. 如果對稱矩陣是為正定者,它的所有子式的行列式也都是正的。
- Mother and baby interact in a very complex way. 母親與嬰兒以非常複雜的方式相互影響。
- In this paper, we characterize the linear operators preserving adjoint matrices on the spaces of all matrices, symmetric matrices and upper triangular matrices over domain. 摘要木文刻畫了整環上的全矩陣空間、對稱矩陣空間和上三角矩陣空間上保持伴隨矩陣的線性運算元的結構。