/**
 * Line search optimization utilities
 */
/**
 * Backtracking line search to find step size
 * @param x - Current position
 * @param direction - Search direction
 * @param f - Function value at current position
 * @param grad - Gradient at current position
 * @param func - Function to evaluate cost
 * @param alpha0 - Initial step size
 * @returns Optimal step size
 */
export declare function _backtrackingLineSearch(x: number[], direction: number[], f: number, grad: number[], func: (x: number[]) => number, alpha0: number): number;
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