2,, of the m x m matrix A satisfy the conditions 2 i +2j:# 0, i,j = 1,2, ..., m, then the matrix equation AX + X Ar=C (14) Solution of the Matrix Equation AX-XB= C 355 has a unique solution, which can be denoted as where A r is the transposed matrix of A, and...
Under the assumption of existence and uniqueness of the solution of the matrix equation AX−XB=C we obtain a finite expression for X.doi:10.1007/BF01437863V. E. ShestopalKluwer Academic Publishers-Plenum PublishersMathematical Notes of the Academy of Sciences of the Ussr...
Solution of the Matrix Equation AX-XB=C The solution of linear matrix equation AX-XB=C often appears in the control theory,in the linear statistical inference and so on.When this equation is cons... LI Zhi lin,XU Ming hua - 《Journal of East China Shipbuilding Institute》 被引量: 646...
The unique solution of the matrix equation AXB CXD = E is obtained in explicit form by means of the inversion of an n X n or m X m matrix from the coefficients of the Laurent expansions of ( λC A) 1 and ( λB D) 1 and the relative characteristic polynomial of λC A or λB...
百度试题 结果1 题目The solution of the matrix equation is X=A^(-1)B. 相关知识点: 试题来源: 解析反馈 收藏
solutiontomatrixequationAx+xB:Cisgainedbyusingthemethodofmatrixdecom— position,finally,anumericalexampleiSobtained. Keywords:matrixequation;g-inverse;explicitsolution;formulae;Jordancanonicalform 2000MRSubjectClassiflcation:15A24.65F10 CLCnumber:O151.21 ...
Y. Liu, Some properties of submatrices in a solution to the matrix equations AX = C, XB = D, J. Appl Math Comput, (2009), 31: 71-80.Tian, Yongge, Some properties of submatrices in a solution to the matrix equation with applications. J. Franklin Inst. v346. 557-569....
Norm-constrained least-squares solutions of the matrix equation AX=B Aiming at the least-squares solutions of the matrix equation AX=B under the norm inequality constraint,an iterative method is proposed.This method uses the... A Xu,Z Peng 被引量: 0发表: 2013年 A hybrid algorithm for solvi...
When the matrix equation is consistent over reflexive matrix X, a reflexive solution can be obtained within finite iteration steps in the absence of roundoff errors. By the proposed iterative algorithm, the least Frobenius norm reflexive solution of the matrix equation can be derived when an ...
Algorithm 432: Solution of the Matrix Equation {A X + X B = C} correct.--LDF Algorithm 432 AX + XB = C [F4] RH and GW Stewart [Recd. 21 Oct. 1970 and 7 Bartels,Stewart 被引量: 382发表: 0年 Eigenfactor solution of the matrix Riccati equation - A continuous square root ...