Checks if a matrix is symmetric and positive definiteMike K Smith
The symmetric and the anti-symmetric parts of the transition matrix, for an uncoupled state, can be related to each other by certain singular integral equations. Thus the scattering matrix can be described and parametrized in terms of the symmetric part of the T-matrix, instead of a potential...
Spectrally equivalent preconditioning of symmetric partof matrix carries over to whole system Vassilevski 被引量: 32发表: 1992年 Absolute value preconditioning for symmetric indefinite linear systems Knyazev, "Absolute value preconditioning for symmetric indefinite linear systems", SIAM J. Sci. Comput., ...
Using theJordan norm form(TODO), one can prove that every square real matrix can be written as a product of two real symmetric matrices, and every square complex matrix can be written as a product of twocomplex symmetric matrices. Every realnon-singular matrix(TODO) can be uniquely factored ...
百度试题 结果1 题目If A is a symmetric positive definite matrix, then A is nonsingular正确错误 相关知识点: 试题来源: 解析 正确 反馈 收藏
Let C be a symmetric matrix of rank one.Prove that C must have the form C=aww^T,where a is a scalar and w is a vector of norm one.翻译:C是一个秩为1的对称矩阵.证明C一定有这样的形式:C=aww^T,a是一个常数,w是模为1的向量....
结果1 题目(11)Express each of the following matrix as the sum of a symmetric and a skew symmetric matrix.(i)[4/3-2] 3 3-1(ii)-2-2 1-4-5 2 相关知识点: 试题来源: 解析 [(4-1/2)/]+[1/2-(√3)/2] 4 -360 反馈 收藏 ...
The necessary and sufficient conditions for the existence of and the expressions for the symmetric solutions of matrix equations (I) AX + YA = C, (II) AXAT + BYBT = C, and (III) (ATXA, BTXB) = (C, D) are derived. In addition, the minimum-2-norm least-squares symmetric solution...
Let A be the symmetric matrix A=31−113−1−1−15. The eigenvalues of A are λ1 = 2, λ2 = 3, λ3 = 6, and eigenvectors corresponding to the eigenvalues are 1−10,111,−1−12,respectively. The three eigenvectors are mutually orthogonal, and you also should note that th...
证明A'A和AA'是对称的 We say that a square matrix X is symmetric if X = X’.In other words,