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Over-determined system

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parham kianian
parham kianian el 13 de Nov. de 2019
Cerrada: John D'Errico el 13 de Nov. de 2019
Dear Friends,
I want to solve an over-determined system in the form of max(abs(A*x)) = B;
size(A) = n by m
size(x) = m by 1
size(B) = n by 1
n > m
NOTE: A is a cell array which each Aij is vector of length L
Is there any built in function in MATLAB that solves such systems?
  3 comentarios
parham kianian
parham kianian el 13 de Nov. de 2019
Dear John,
I need to solve a system of over-determined equations as follow:
max(abs(A11*x1 + A12*x2 + ... + A1m*xm)) = B1
max(abs(A21*x1 + A22*x2 + ... + A2m*xm)) = B2
.
.
.
max(abs(An1*x1 + An2*x2 + ... + Anm*xm)) = Bn
and in matrix form: max(abs(A*x)) = B.
x is the vector of unkonws with m number of arrays. B is the vector of knowns with n number of arrays and finally A is a n by m matrix. But the issue is that each array of matrix A is a vector. This is why I used the functions of max and abs in the system of equations. Note that this is an over-determined system, that is, the number of equations (n) is greater than the number of unknowns (m).
Is there any MATLAB fuction to solve such system of equations?
I hope this explanation clarifies the issue.
John D'Errico
John D'Errico el 13 de Nov. de 2019
Now I remember. You asked exactly this question before, but did not get an answer, so you are asking it again. Only this time, you asked it in a hidden way to make it look like a different problem. Only in your comment do you disclose it is identical.

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