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;
}
/**
 * DenseMatrix constructor interface for creating new dense matrices.
 */
interface DenseMatrixConstructor {
    new (data: DenseMatrixConstructorData): DenseMatrix;
}
/**
 * SparseMatrix interface for algorithm operations.
 * Note: SparseMatrix is always 2D.
 */
interface SparseMatrix {
    _values?: MatrixValue[];
    _index: number[];
    _ptr: number[];
    _size: [number, number];
    _datatype?: DataType;
}
export declare const createMatAlgo10xSids: import("../../../utils/factory.js").FactoryFunction<{
    typed: TypedFunction;
    DenseMatrix: DenseMatrixConstructor;
}, (s: SparseMatrix, b: MatrixValue, callback: MatrixCallback, inverse: boolean) => DenseMatrix>;
export {};
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