Steepest Descent Playground
Minimize $f(x) = \frac{1}{2} x^T A x + b^T x + c$ with Contours at Every $x_k$
System Parameters
Condition Number ($\kappa$):
5.0
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🎲 New Random System
Step Size Mode
Exact Line Search (Optimal $\alpha_k$)
Manual Step Size ($\alpha$)
Step Size ($\alpha$):
0.050
Theoretical Limit ($\frac{2}{\lambda_{\max}}$):
-
Controls
Take 1 Step
Auto Run
Reset Path
💡 Click anywhere on the plot to set a new starting point $x_0$.
Metrics & Diagnostics
Iteration ($k$)
0
Step Size ($\alpha$)
-
$f(x_k) - f(x^*)$
-
$\|x_k - x^*\|_Q$
-