/** Below this dimension the factory path is already sub-millisecond; native
 *  conversion overhead isn't worth it and the well-tested factory path runs. */
export declare const NATIVE_MATRIX_THRESHOLD = 8;
/** True for a square `number[][]` of side ≥ NATIVE_MATRIX_THRESHOLD. */
export declare function isLargeNumericSquare(a: unknown): a is number[][];
/**
 * Determinant via native Float64Array LU: det = parity(P) · ∏ diag(U).
 * Falls back to `factoryDet` for non-(large numeric square) inputs or any
 * non-singular native error; a singular matrix correctly yields 0.
 */
export declare function acceleratedDet<T>(a: unknown, factoryDet: (m: unknown) => T): T;
/**
 * Inverse via native Float64Array LU + forward/back substitution: solve A·xⱼ = eⱼ
 * for each column. Falls back to `factoryInv` for non-(large numeric square)
 * inputs; on a singular matrix the native LU throws and we delegate to the
 * factory, which raises the proper "Cannot calculate inverse, determinant is
 * zero" error — so behaviour is identical to the factory, just faster.
 * Verified against numpy: max|inv−numpy| and max|A·inv−I| ~1e-15.
 */
export declare function acceleratedInv<T>(a: unknown, factoryInv: (m: unknown) => T): T;
/** True for a square `number[][]` of any size ≥ 1. */
export declare function isNumericSquare(a: unknown): a is number[][];
/**
 * Correct eigendecomposition for the public `eigs`.
 *
 * The activated mathjs factory `eigs` returns WRONG eigenvalues for *every*
 * non-symmetric matrix — even trivial upper-triangular ones, whose eigenvalues
 * are just the diagonal (e.g. [[2,1,0],[0,3,1],[0,0,4]] → [1.27, 3, 4.73]). The
 * native `@danielsimonjr/mathts-matrix` `eig` (JAMA orthes/hqr2) is correct for
 * symmetric, non-symmetric, and complex spectra (verified vs numpy), so route all
 * numeric square matrices through it and emit the factory's `{ values,
 * eigenvectors }` shape. Non-(numeric square) inputs and any native error fall
 * back to the factory.
 */
export declare function correctEigs(a: unknown, options: {
    eigenvectors?: boolean;
} | undefined, factoryEigs: (m: unknown, o?: unknown) => unknown): unknown;
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