MHB How is the Steepest Descent Formula Used to Solve Linear Systems?

[Amer]

Steepest descent for linear system

what is the formula of steep descent to solve linear system
can you give me a link

 

[chisigma]

Re: Steepest descent for linear system

what is the formula of steep descent to solve linear system
can you give me a link

If Your goal is to find the minimum of an $f(x_{1},x_{2},...,x_{n})$ and the $f(*)$ is linear in the $x_{i}$, i.e. it can be written as...

$\displaystyle f(x_{1},x_{2},...,x_{n})= \sum_{i=1}^{n} a_{i}\ x_{i}$ (1)

... where all the $a_{i}$ are constant and You don't have any constrain, then the goal cannot be met because the (1) has no minimum...

Kind regards

$\chi$ $\sigma$