import { type Matrix, type Vector } from "./gaussJordanElimination";
/**
 * Solves system of equations using Least Squares method.
 * @see https://imagemagick.org/api/MagickCore/matrix_8c_source.html#l00829 LeastSquaresAddTerms() at
 * ImageMagick source.
 */
export declare class LeastSquares {
    /**
     * Coefficients of equations to solve.
     *
     * @private
     */
    private readonly coefficients;
    /**
     * Results of equations to solve.
     *
     * @private
     */
    private readonly results;
    /**
     * LeastSquares constructor.
     *
     * @param rank The rank or size of the dimensions of the square matrix.
     * Also, the length of vectors, and number of terms being added.
     * @param numVectors Number of result vectors, and number of results being
     * added.  Also represents the number of separable systems of equations
     * that is being solved.
     */
    constructor(rank: number, numVectors?: number);
    /**
     * Adds one set of terms and associate results to the given matrix and vectors for solving using least-squares
     * function fitting.
     *
     * @param terms The pre-calculated terms (without any coefficient weights) that forms the equation being added.
     * @param results The result(s) that should be generated from the given terms weighted by the yet-to-be-solved
     * coefficients.
     *
     * @see https://imagemagick.org/api/MagickCore/matrix_8c_source.html#l00829 LeastSquaresAddTerms() at
     * ImageMagick source.
     */
    addTerms(terms: Vector, results: Vector): this;
    /**
     * Returns equations solving results matrix
     */
    solve(): Matrix;
}