import type BigNumber from 'bignumber.js';
import type { Complex } from 'complex.js';
/** Scalar types supported by complex eigenvalue computation */
type Scalar = number | BigNumber | Complex;
/** Result for a single eigenvector with its corresponding eigenvalue */
interface EigenvectorResult {
    value: Scalar;
    vector: Scalar[];
}
/** Result of complex eigenvalue computation */
interface ComplexEigsResult {
    values: Scalar[];
    eigenvectors?: EigenvectorResult[];
}
/** Result of QR decomposition */
interface QRResult {
    Q: Scalar[][];
    R: Scalar[][];
}
/** Dependencies for createComplexEigs */
interface Dependencies {
    addScalar: (a: Scalar, b: Scalar) => Scalar;
    subtract: (a: Scalar | Scalar[], b: Scalar | Scalar[]) => Scalar | Scalar[];
    flatten: <T>(arr: T[][] | T[]) => T[];
    multiply: (a: Scalar | Scalar[][], b: Scalar | Scalar[][]) => Scalar | Scalar[][];
    multiplyScalar: (a: Scalar, b: Scalar) => Scalar;
    divideScalar: (a: Scalar, b: Scalar) => Scalar;
    sqrt: (x: Scalar) => Scalar;
    abs: (x: Scalar) => number | BigNumber;
    bignumber: (x: number | string) => BigNumber;
    diag: (arr: Scalar[]) => Scalar[][];
    size: (arr: Scalar[]) => number[];
    reshape: (arr: Scalar[], shape: number[]) => Scalar[];
    inv: (x: Scalar[][]) => Scalar[][];
    qr: (x: Scalar[][]) => QRResult;
    usolve: (A: Scalar[][], b: Scalar[]) => Scalar[];
    usolveAll: (A: Scalar[][], b: Scalar[]) => Scalar[][];
    equal: (a: Scalar, b: Scalar) => boolean;
    complex: (re: number | Scalar, im?: number) => Complex;
    larger: (a: Scalar, b: Scalar) => boolean;
    smaller: (a: Scalar, b: Scalar) => boolean;
    matrixFromColumns: (...cols: Scalar[][]) => Scalar[][];
    dot: (a: Scalar[], b: Scalar[]) => Scalar;
}
/** Supported data types for eigenvalue computation */
type DataType = 'number' | 'BigNumber' | 'Complex';
/**
 * Create the `complexEigs` function, which computes the eigenvalues and the optional
 * eigenvectors of a matrix that is not real symmetric.
 */
export declare function createComplexEigs({ addScalar, subtract, flatten, multiply, multiplyScalar, divideScalar, sqrt, abs, bignumber, diag, size, reshape, inv, qr, usolve, usolveAll, equal, complex, larger, smaller, matrixFromColumns: _matrixFromColumns, dot, }: Dependencies): (arr: Scalar[][], N: number, prec: number | BigNumber, type: DataType, findVectors?: boolean) => ComplexEigsResult;
export {};
//# sourceMappingURL=complexEigs.d.ts.map