Enforce the norm of the addition of two vectors plus scalar
조회 수: 1 (최근 30일)
이전 댓글 표시
Hi,
I have two vectors of the same dimension:
and
and a scalar β. I'm looking for the value of β such that
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/223109/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/223110/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/223118/image.png)
Do you have an idea how to find β ?
Thanks.
댓글 수: 0
채택된 답변
Mohammad Alhashash
2019년 6월 5일
I assumed that a and b are 3 elements-vector and then solved the equation beta analytically.
a = [1 2 3];
b = [2 3 4];
beta = roots([b(1)^2+b(2)^2+b(3)^2 , 2*(a(1)*b(1)+a(2)*b(2)+a(3)*b(3)),a(1)^2+a(2)^2+a(3)^2-1])
the result is two solution corresponding to two different value of beta.
to verify our solution, simply try it;
norm(a+beta(1)*b)
or :
norm(a+beta(2)*b)
추가 답변 (0개)
참고 항목
제품
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!