export declare function normalize(alpha: number[]): number[];
export declare function makeSolverMatrix(XYZList: number[][]): {
    rank: number;
    a: number[][];
    ainv: number[][];
    nvecs: number[][];
};
export declare function alpha2XYZ(aList: number[], a: number[][]): number[];
export declare function XYZ2Alpha(XYZ: number[], wList: number[], ainv: number[][], nvecs: number[][]): Promise<number[]>;