// <copyright file="ISolver.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://numerics.mathdotnet.com
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// http://github.com/mathnet/mathnet-numerics
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//
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// Copyright (c) 2009-2013 Math.NET
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//
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// Permission is hereby granted, free of charge, to any person
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// obtaining a copy of this software and associated documentation
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// files (the "Software"), to deal in the Software without
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// restriction, including without limitation the rights to use,
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// copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following
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// conditions:
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//
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// The above copyright notice and this permission notice shall be
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// included in all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
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// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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// OTHER DEALINGS IN THE SOFTWARE.
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// </copyright>
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using System;
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namespace IStation.Numerics.LinearAlgebra.Factorization
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{
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/// <summary>
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/// Classes that solves a system of linear equations, <c>AX = B</c>.
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/// </summary>
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/// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
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public interface ISolver<T> where T : struct, IEquatable<T>, IFormattable
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{
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/// <summary>
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/// Solves a system of linear equations, <c>AX = B</c>.
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/// </summary>
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/// <param name="input">The right hand side Matrix, <c>B</c>.</param>
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/// <returns>The left hand side Matrix, <c>X</c>.</returns>
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Matrix<T> Solve(Matrix<T> input);
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/// <summary>
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/// Solves a system of linear equations, <c>AX = B</c>.
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/// </summary>
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/// <param name="input">The right hand side Matrix, <c>B</c>.</param>
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/// <param name="result">The left hand side Matrix, <c>X</c>.</param>
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void Solve(Matrix<T> input, Matrix<T> result);
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/// <summary>
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/// Solves a system of linear equations, <c>Ax = b</c>
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/// </summary>
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/// <param name="input">The right hand side vector, <c>b</c>.</param>
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/// <returns>The left hand side Vector, <c>x</c>.</returns>
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Vector<T> Solve(Vector<T> input);
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/// <summary>
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/// Solves a system of linear equations, <c>Ax = b</c>.
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/// </summary>
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/// <param name="input">The right hand side vector, <c>b</c>.</param>
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/// <param name="result">The left hand side Matrix>, <c>x</c>.</param>
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void Solve(Vector<T> input, Vector<T> result);
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}
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}
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