How to obtain the value of the matrix X in equation AXA' = B?
조회 수: 18 (최근 30일)
이전 댓글 표시
If I have
A*X*A' = B
X and B are real square matrices.
A might not be square matrix.
For example:
A (3x4) is given
B (3x3) is given
X (4x4) is unknown matrix.
How can I obtain the X matrix?
댓글 수: 0
채택된 답변
KSSV
2022년 1월 18일
For the give dimensions and given equation it cannot be solved. But for given dimensions the following equation can be solved.
% A'*X*A = B
To solve above A can be (3x4) , X is (3,3) abd B is (4x4).
A = rand(3,4) ;
B = rand(4,4) ;
X = pinv(A')*B*pinv(A)
If you want to solve the given equation:
% A*X*A' = B
The dimensions of A should be (4x3), X is (3x3) and B is (4X4)
A = rand(4,3) ;
B = rand(4,4) ;
X = pinv(A)*B*pinv(A')
Check the dimensions once for your quesion. Read about pinv function and it's properties.
추가 답변 (1개)
참고 항목
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!