A canonical basis for the matrix transformation X → AXB
نویسندگان
چکیده
منابع مشابه
Numerical solutions of AXB = C for centrosymmetric matrix X under a specified submatrix constraint
We say that X = [xi j ]n i, j=1 is centrosymmetric if xi j = xn− j+1,n−i+1, 1 i, j n. In this paper, we present an efficient algorithm for minimizing ‖AX B−C‖ where ‖·‖ is the Frobenius norm, A∈Rm×n , B∈ Rn×s , C ∈Rm×s and X ∈Rn×n is centrosymmetric with a specified central submatrix [xi j ]p i, j n−p . Our algorithm produces a suitable X such that AX B=C in finitely many steps, if such an X ex...
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A new Approximation to the solution of the linear matrix equation AXB = C
It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C....
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1966
ISSN: 0022-247X
DOI: 10.1016/0022-247x(66)90068-0