Critical Step Size

def proved Dynamics & Crises

Documentation

Lean 4 Proof

def criticalStepSize (lam : ℝ) : ℝ := 2 / lam

Dependency Graph

Used by

cesCriticalStep_eq iterMul_eq_neg_one_at_critical eos_at_boundary iterMul_in_unit_interval one_lt_abs_iterMul_above_critical abs_iterMul_lt_one_iff cesCriticalStep

Location

thesis/CESProofs/Dynamics/DiscreteStability.lean:32

Module Section

Discrete-Time Stability of CES Tâtonnement (Edge of Stability)

In the same file

iterationMultiplier abs_iterMul_lt_one_iff iterMul_eq_neg_one_at_critical one_lt_abs_iterMul_above_critical iterMul_in_unit_interval iterate_tendsto_zero iterate_norm_tendsto_top period_two_oscillation cesEigenvaluePerp_neg cesEigenvaluePerp_abs_pos cesCriticalStep cesCriticalStep_eq ces_stable_iff ces_period_two_at_critical cesCriticalStep_increasing_in_rho cesCriticalStep_via_curvatureK eos_at_boundary eos_curvature_determines_step