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Amer
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Steepest descent for linear system
what is the formula of steep descent to solve linear system
can you give me a link
what is the formula of steep descent to solve linear system
can you give me a link
Last edited:
Amer said:what is the formula of steep descent to solve linear system
can you give me a link
"Steep descent" refers to a type of optimization method used in systems with linear equations. It involves finding the minimum value of a function by starting at a point and iteratively moving towards the minimum along the steepest descent direction.
Unlike other optimization methods that rely on calculating gradients or Hessians, steep descent only requires the knowledge of the direction of steepest descent. This makes it simpler and more efficient for solving linear systems.
Steep descent is a fast and efficient method for solving linear systems, especially in high-dimensional spaces. It also has the advantage of being easy to implement and does not require extensive mathematical calculations.
Yes, steep descent may not work well for non-linear systems or if the starting point is far from the minimum. It can also get stuck in local minima and may require a good initial guess to converge to the global minimum.
The optimal step size for steep descent can be found by using line search methods, where the step size is adjusted based on the slope of the function. Another approach is to use a fixed step size that is small enough to ensure convergence but large enough to avoid getting stuck in local minima.