Hello,
I have nowhere seen a
proposal for Systems of Linear Ecuations solving.
I know they can be solved
with LU descomposition for quadratic systems.
Eg:
Ax = b;
A = LU with LU transform;
LUx = b; note Ux = y, then
Ly = b => y = LTRIS(L,
b), then
Ux = y => x = UTRIS(U,
y);
Note: LTRIS and UTRIS are
methods for solving triangular lower/upper systems of
ecuations.
LTRIS
x = b;
for i = 1 : n
for j = 1 : i - 1
x(i) = x(i) - L(i,j)x(j)
end
x(i) = x(i) / L(i,i);
end
UTRIS:
x =
b;
for
i = n : -1: 1
for
j = i + 1 : n
x(i)
= x(i) - U(i,j)x(j)
end
x(i)
= x(i) / U(i,i);
end
Can this thing be proposed
in Boost uBLAS?
Thank you,
Iulian Calciu