import type BigNumber from 'bignumber.js';
/** Scalar types for real symmetric eigenvalue computation */
type Scalar = number | BigNumber;
/** Result for a single eigenvector with its corresponding eigenvalue */
interface EigenvectorResult {
    value: Scalar;
    vector: Scalar[];
}
/** Result of real symmetric eigenvalue computation */
interface EigenResult {
    values: Scalar[];
    eigenvectors?: EigenvectorResult[];
}
/** Configuration object */
interface Config {
    relTol: number | BigNumber;
}
/** Dependencies for createRealSymmetric */
interface Dependencies {
    config: Config;
    addScalar: (a: Scalar, b: Scalar) => Scalar;
    subtract: (a: Scalar, b: Scalar) => Scalar;
    abs: (x: Scalar) => number | BigNumber;
    atan: (x: Scalar) => Scalar;
    cos: (x: Scalar) => Scalar;
    sin: (x: Scalar) => Scalar;
    multiplyScalar: (a: Scalar, b: Scalar) => Scalar;
    inv: (x: Scalar) => Scalar;
    bignumber: (x: number | string) => BigNumber;
    multiply: (...args: Scalar[]) => Scalar;
    add: (...args: Scalar[]) => Scalar;
}
/**
 * Create the function that computes the eigenvalues and the optional eigenvectors of a
 * real symmetric matrix.
 */
export declare function createRealSymmetric({ config, addScalar, subtract, abs, atan, cos, sin, multiplyScalar, inv, bignumber, multiply, add, }: Dependencies): (arr: Scalar[][], _N: number, prec: number | BigNumber | undefined, type: 'number' | 'BigNumber', computeVectors: boolean) => EigenResult;
export {};
//# sourceMappingURL=realSymmetric.d.ts.map