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- A real symmetric matrix A can be expressed as ??. 一個(gè)實(shí)對稱(chēng)矩陣A能被表示為??。
- 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(chēng)矩陣幾何基本定理推廣到無(wú)限維的情形。
- Introduces the two-eigenvalue problem of a symmetric matrix and gives a formula to compute the matrix. 摘要介紹了對稱(chēng)矩陣的兩特征值問(wèn)題，并給出了計算公式。
- 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(shí)對稱(chēng)矩陣A是否正定,一直是矩陣理論中的重要問(wèn)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. 對于算法中涉及的求高階實(shí)對稱(chēng)陣的最大特征值及其特征向量，采用冪法加以實(shí)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(chēng)矩陣特徵根的包含原理和分隔定理，并利用了正矩陣特徵根的性質(zhì)。最后證實(shí)了關(guān)于楊輝矩陣的三個(gè)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(chēng)特征值問(wèn)題的預處理技術(shù)，給出了改善后的算法及相應的算法收斂分析。
- To solve this problem, two key inequalities are presented.The inequalities are used to improving the smoothed complexity of condition number of symmetric matrix. 然后將這兩個(gè)不等式用于對稱(chēng)矩陣條件數的平滑分析,得到更簡(jiǎn)單、更低的平滑復雜度;
- 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. 該算法可求出實(shí)對稱(chēng)矩陣在給定區間內的特征值的個(gè)數，并可計算滿(mǎn)足精度要求的特征值。
- 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(wèn)題的系數矩陣為對角元為正的H-矩陣或對稱(chēng)半正定矩陣時(shí)，證明了算法的全局收斂性；
- 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(chēng)矩陣的性質(zhì),次對稱(chēng)矩陣與次對合矩陣,次正交矩陣的關(guān)系,并加以理論證明,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(shí)對稱(chēng)矩陣為正定、半正定、負定、半負定或不定的一個(gè)算法；采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(shí)對稱(chēng)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(chēng)矩陣特征值的兩種有效方法。
- I feel that geometry is a difficult subject. 我認為幾何是一門(mén)難學(xué)的課程。
- If a symmetrical matrix is positive definite, the determinants of all its minors are also positive. 如果對稱(chēng)矩陣是為正定者，它的所有子式的行列式也都是正的。
- The students are learning solid geometry. 這些學(xué)生正在學(xué)習立體幾何學(xué)。
- 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(huà)了整環(huán)上的全矩陣空間、對稱(chēng)矩陣空間和上三角矩陣空間上保持伴隨矩陣的線(xiàn)性算子的結構。
- The Two-Eigenvalue Problem of a Symmetric Matrix 對稱(chēng)矩陣的兩特征值問(wèn)題
- "0-1" symmetric matrix of positive line “0-1”正線(xiàn)對稱(chēng)矩陣
