- #1
pjoseph98
- 1
- 0
Hi there,
I am no expert in linear algebra (and I don't think this problem is linear anyway).
I am trying to solve the following for y: [A]y = C
A is an 8x2 matrix (fully known)
C is an 8x1 matrix (fully known)
B is an 2x1 matrix (whose terms are a function of the single unknown y).
The two terms in are: b1*e^(b2 + y) and b3*e^(b4 + y) where b1, b2, b3, and b4 are fully known.
Is it possible to solve for y? Do I use my favorite method--brute force or is there something more elegant. The problem (as I understand it) is that the matrices are not symmetric, far less, square.
And I need to solve this at each integration point in a Finite Element Analysis mesh...with up to 10,000 integration points, so ideally a brute force method would not be my preference...
Paul
I am no expert in linear algebra (and I don't think this problem is linear anyway).
I am trying to solve the following for y: [A]y = C
A is an 8x2 matrix (fully known)
C is an 8x1 matrix (fully known)
B is an 2x1 matrix (whose terms are a function of the single unknown y).
The two terms in are: b1*e^(b2 + y) and b3*e^(b4 + y) where b1, b2, b3, and b4 are fully known.
Is it possible to solve for y? Do I use my favorite method--brute force or is there something more elegant. The problem (as I understand it) is that the matrices are not symmetric, far less, square.
And I need to solve this at each integration point in a Finite Element Analysis mesh...with up to 10,000 integration points, so ideally a brute force method would not be my preference...
Paul