import type { TypedFunction } from '../core/function/typed.js';
interface MatrixType {
    size(): number[];
    toArray(): unknown[][];
    subset(index: unknown): MatrixType;
}
interface SchurResult {
    T: MatrixType;
    U: MatrixType;
}
interface SylvesterDependencies {
    typed: TypedFunction;
    schur: (A: MatrixType) => SchurResult;
    matrixFromColumns: (...cols: MatrixType[]) => MatrixType;
    matrix: (arr: unknown[][]) => MatrixType;
    multiply: TypedFunction;
    range: (start: number, end: number) => unknown;
    concat: TypedFunction;
    transpose: (A: MatrixType) => MatrixType;
    index: TypedFunction;
    subset: TypedFunction;
    add: TypedFunction;
    subtract: TypedFunction;
    identity: (n: number) => MatrixType;
    lusolve: TypedFunction;
    abs: TypedFunction;
}
export declare const createSylvester: import("../utils/factory.js").FactoryFunction<SylvesterDependencies, unknown>;
export {};
//# sourceMappingURL=sylvester.d.ts.map