Square root of a matrixWikipedia, From
网络矩阵的平方根
最近在做一个问题，要计算Square root of a matrix。比如一个matrix： G，它的size比如说是 50*50 ...
The inverse square root of a matrix plays a role in the computation of an optimal symmetric orthogonalization of a set of vectors. We suggest two iterative techniques to compute an inverse square root of a given matrix. The two schemes are analyzed and their numerical stability properties are ...
摘要: In this paper we present an explicit formula to find a square root of certain class of matrices using Cayley-Hamiliton Theorem. Our formula extend and generalize the corresponding approach for 22 matrix. Also, some examples are given in support of our method.被引量: 2 ...
By utilizing the square root of a matrix approach, a method of generating the solution to a steady-state matrix Riccati type equation (under certain restrictions) is presented. This approach not only yields a closed form expression for the Riccati solution, but also converts the original Riccati...
[2] Bjorck, A. and S. Hammerling, “A Schur method for the square root of a matrix,”Linear Algebra and Appl., 52/53, pp. 127–140, 1983 [3] Deadman, E., Higham, N. J. and R. Ralha, “Blocked Schur algorithms for computing the matrix square root,”Lecture Notes in Comput....
View PDFView articleView in ScopusGoogle Scholar 2 R.H. Bartels, G.W. Stewart Solution of the matrix equation AX + XB = C Comm. ACM, 15 (1972), pp. 820-826 View in ScopusGoogle Scholar 3 A.N. Beavers, E.D. Denman The matrix sign function and computations in systems Appl. Math...
characteristic root of a square matrix [网络] 方阵的特征根
In contrast, numerical methods that first approximate A 1/2 and then compute A 1/2 c → generally require O (n 3) operations per iteration. 展开 关键词: Matrix square root Numerical method Nonlinear system Initial-value problem Lanczos method ...