import type BigNumber from 'bignumber.js';
import type { Complex } from 'complex.js';
/** Scalar types supported by sqrtm */
type Scalar = number | BigNumber | Complex;
/** Matrix data representation */
type MatrixData = Scalar | Scalar[] | Scalar[][];
/** Matrix interface */
export interface Matrix {
    size(): number[];
    valueOf(): MatrixData;
    _data?: MatrixData;
    _size?: number[];
}
/** Typed function interface for math.js functions */
interface TypedFunction<R = Scalar | Matrix> {
    (...args: unknown[]): R;
}
/** Dependencies for sqrtm factory */
interface Dependencies {
    typed: TypedFunction;
    abs: TypedFunction<number | BigNumber>;
    add: TypedFunction<Scalar | Matrix>;
    multiply: TypedFunction<Scalar | Matrix>;
    map: TypedFunction<Matrix>;
    sqrt: TypedFunction<Scalar>;
    subtract: TypedFunction<Scalar | Matrix>;
    inv: TypedFunction<Scalar[][] | Matrix>;
    size: TypedFunction<number[]>;
    max: TypedFunction<number | BigNumber>;
    identity: TypedFunction<Matrix>;
}
export declare const createSqrtm: import("../utils/factory.js").FactoryFunction<Dependencies, Matrix | Scalar>;
export {};
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