import type { DataType, MatrixValue, MatrixArray, MatrixCallback, TypedFunction, DenseMatrixConstructorData } from '../types.js';
/**
 * DenseMatrix interface for algorithm operations.
 * Note: This algorithm only operates on 2D matrices, so we use MatrixArray (T[][]).
 */
interface DenseMatrix {
    _data: MatrixArray;
    _size: [number, number];
    _datatype?: DataType;
    getDataType(): string;
    createDenseMatrix(config: DenseMatrixConstructorData): DenseMatrix;
}
/**
 * SparseMatrix interface for algorithm operations.
 * Note: SparseMatrix is always 2D.
 */
interface SparseMatrix {
    _values?: MatrixValue[];
    _index: number[];
    _ptr: number[];
    _size: [number, number];
    _data?: MatrixArray;
    _datatype?: DataType;
    getDataType(): string;
}
/**
 * Dependencies for matAlgo01xDSid factory
 */
interface MatAlgo01xDSidDependencies {
    typed: TypedFunction;
}
export declare const createMatAlgo01xDSid: import("../../../utils/factory.js").FactoryFunction<MatAlgo01xDSidDependencies, (denseMatrix: DenseMatrix, sparseMatrix: SparseMatrix, callback: MatrixCallback, inverse: boolean) => DenseMatrix>;
export {};
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