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<!--NewPage--><html><head><!-- Generated by javadoc on Fri Sep 20 20:19:15 1996 --><a name="_top_"></a><title>Class Matrix</title></head><body><h1> Class Matrix (ver. 1.3)</h1><pre><!a href="java.lang.Object.html#_top_">java.lang.Object</a> | +----Matrix</pre><hr><dl> <dt> public class <b>Matrix</b> <dt> extends <!a href="java.lang.Object.html#_top_">Object</a></dl>Matrix is a class for matrix objects with basic linear calculation methods.<hr><a name="index"></a><h2> <img src="images/constructor-index.gif" width=275 height=38 alt="Constructor Index"></h2><dl> <dt> <img src="images/yellow-ball-small.gif" width=6 height=6 alt=" o "> <a href="#Matrix(int)"><b>Matrix</b></a>(int) <dd> Construct a square matrix object. <dt> <img src="images/yellow-ball-small.gif" width=6 height=6 alt=" o "> <a href="#Matrix(int, int)"><b>Matrix</b></a>(int, int) <dd> Construct a rectangle matrix object.</dl><h2> <img src="images/method-index.gif" width=207 height=38 alt="Method Index"></h2><dl> <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#copy()"><b>copy</b></a>() <dd> Copy the matrix. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#crossSqDistance(Matrix)"><b>crossSqDistance</b></a>(Matrix) <dd> Cross squared Euclidean distance Matrix: Z_{ij} = ||X_i - Y_j||^2 <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#diagonal()"><b>diagonal</b></a>() <dd> If the matrix is a row or column vector, make a diagonal matrix from it. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#dividedBy(Matrix)"><b>dividedBy</b></a>(Matrix) <dd> Matrix division: X\Y. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#dividedBy(Matrix, int)"><b>dividedBy</b></a>(Matrix, int) <dd> Matrix division with bandwidth: X\Y. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#eigenvalues(double, int)"><b>eigenvalues</b></a>(double, int) <dd> Make a row vector including the eigenvalues of the matrix. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#horizontalSum()"><b>horizontalSum</b></a>() <dd> Make a horizontal-summation vector. <dt> <img src="images/green-ball-small.gif" width=6 height=6 alt=" o "> <a href="#identity(int)"><b>identity</b></a>(int) <dd> Make an identity matrix. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#linearConv(double, double, Matrix)"><b>linearConv</b></a>(double, double, Matrix) <dd> Linear conversion: a*X + b*Y. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#mulipliedEntriesWith(Matrix)"><b>mulipliedEntriesWith</b></a>(Matrix) <dd> Multiply entries. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#multipliedBy(double)"><b>multipliedBy</b></a>(double) <dd> Scalar product: aX. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#multipliedBy(Matrix)"><b>multipliedBy</b></a>(Matrix) <dd> Matrix multiplication: X*Y. <dt> <img src="images/green-ball-small.gif" width=6 height=6 alt=" o "> <a href="#random(int, int)"><b>random</b></a>(int, int) <dd> Same as random(row, col, 1). <dt> <img src="images/green-ball-small.gif" width=6 height=6 alt=" o "> <a href="#random(int, int, int)"><b>random</b></a>(int, int, int) <dd> Make a standard Gaussian random Matrix. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#sumEntries()"><b>sumEntries</b></a>() <dd> Summation of all entries. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#sumSqrEntries()"><b>sumSqrEntries</b></a>() <dd> Summation of squared entries. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#transpose()"><b>transpose</b></a>() <dd> Transpose: X'. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#updateDivideByRowVector(Matrix)"><b>updateDivideByRowVector</b></a>(Matrix) <dd> X_{ij} = X_{ij}/v_{j}. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#updateExp()"><b>updateExp</b></a>() <dd> Update by exponential : exp(X_{ij}) <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#updateLinearConv(double, double, Matrix)"><b>updateLinearConv</b></a>(double, double, Matrix) <dd> Update by Linear conversion: X = a*X + b*Y. <dt> <img src="images/red-ball-small.gif" width=6 height=6 alt=" o "> <a href="#verticalSum()"><b>verticalSum</b></a>() <dd> Make a vertical-summation vector.</dl><a name="constructors"></a><h2> <img src="images/constructors.gif" width=231 height=38 alt="Constructors"></h2><a name="Matrix"></a><a name="Matrix(int)"><img src="images/yellow-ball.gif" width=12 height=12 alt=" o "></a><b>Matrix</b><pre> public Matrix(int n)</pre><dl> <dd> Construct a square matrix object. <dl> <dt> <b>Parameters:</b> <dd> n - size </dl></dl><a name="Matrix(int, int)"><img src="images/yellow-ball.gif" width=12 height=12 alt=" o "></a><b>Matrix</b><pre> public Matrix(int row, int col)</pre><dl> <dd> Construct a rectangle matrix object. <dl> <dt> <b>Parameters:</b> <dd> row - number of row <dd> col - number of column </dl></dl><a name="methods"></a><h2> <img src="images/methods.gif" width=151 height=38 alt="Methods"></h2><a name="identity(int)"><img src="images/green-ball.gif" width=12 height=12 alt=" o "></a><a name="identity"><b>identity</b></a><pre> public static <a href="#_top_">Matrix</a> identity(int n)</pre><dl> <dd> Make an identity matrix. <dl> <dt> <b>Parameters:</b> <dd> n - size </dl></dl><a name="random(int, int, int)"><img src="images/green-ball.gif" width=12 height=12 alt=" o "></a><a name="random"><b>random</b></a><pre> public static <a href="#_top_">Matrix</a> random(int row, int col, int seed)</pre><dl> <dd> Make a standard Gaussian random Matrix. <dl> <dt> <b>Parameters:</b> <dd> row - number of row <dd> col - number of column <dd> seed - random seed </dl></dl><a name="random(int, int)"><img src="images/green-ball.gif" width=12 height=12 alt=" o "></a><a name="random"><b>random</b></a><pre> public static <a href="#_top_">Matrix</a> random(int row, int col)</pre><dl> <dd> Same as random(row, col, 1).</dl><a name="copy()"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="copy"><b>copy</b></a><pre> public <a href="#_top_">Matrix</a> copy()</pre><dl> <dd> Copy the matrix.</dl><a name="transpose()"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="transpose"><b>transpose</b></a><pre> public <a href="#_top_">Matrix</a> transpose()</pre><dl> <dd> Transpose: X'.</dl><a name="linearConv(double, double, Matrix)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="linearConv"><b>linearConv</b></a><pre> public <a href="#_top_">Matrix</a> linearConv(double a, double b, <a href="#_top_">Matrix</a> Y)</pre><dl> <dd> Linear conversion: a*X + b*Y.</dl><a name="updateLinearConv(double, double, Matrix)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="updateLinearConv"><b>updateLinearConv</b></a><pre> public void updateLinearConv(double a, double b, <a href="#_top_">Matrix</a> Y)</pre><dl> <dd> Update by Linear conversion: X = a*X + b*Y.</dl><a name="multipliedBy(double)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="multipliedBy"><b>multipliedBy</b></a><pre> public <a href="#_top_">Matrix</a> multipliedBy(double a)</pre><dl> <dd> Scalar product: aX.</dl><a name="multipliedBy(Matrix)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="multipliedBy"><b>multipliedBy</b></a><pre> public <a href="#_top_">Matrix</a> multipliedBy(<a href="#_top_">Matrix</a> Y)</pre><dl> <dd> Matrix multiplication: X*Y.</dl><a name="dividedBy(Matrix)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="dividedBy"><b>dividedBy</b></a><pre> public <a href="#_top_">Matrix</a> dividedBy(<a href="#_top_">Matrix</a> Y)</pre><dl> <dd> Matrix division: X\Y.</dl><a name="dividedBy(Matrix, int)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="dividedBy"><b>dividedBy</b></a><pre> public <a href="#_top_">Matrix</a> dividedBy(<a href="#_top_">Matrix</a> Y, int bw)</pre><dl> <dd> Matrix division with bandwidth: X\Y.</dl><a name="crossSqDistance(Matrix)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="crossSqDistance"><b>crossSqDistance</b></a><pre> public <a href="#_top_">Matrix</a> crossSqDistance(<a href="#_top_">Matrix</a> Y)</pre><dl> <dd> Cross squared Euclidean distance Matrix: Z_{ij} = ||X_i - Y_j||^2</dl><a name="updateExp()"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="updateExp"><b>updateExp</b></a><pre> public void updateExp()</pre><dl> <dd> Update by exponential : exp(X_{ij})</dl><a name="horizontalSum()"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="horizontalSum"><b>horizontalSum</b></a><pre> public <a href="#_top_">Matrix</a> horizontalSum()</pre><dl> <dd> Make a horizontal-summation vector.</dl><a name="verticalSum()"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="verticalSum"><b>verticalSum</b></a><pre> public <a href="#_top_">Matrix</a> verticalSum()</pre><dl> <dd> Make a vertical-summation vector.</dl><a name="sumEntries()"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="sumEntries"><b>sumEntries</b></a><pre> public double sumEntries()</pre><dl> <dd> Summation of all entries.</dl><a name="sumSqrEntries()"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="sumSqrEntries"><b>sumSqrEntries</b></a><pre> public double sumSqrEntries()</pre><dl> <dd> Summation of squared entries.</dl><a name="mulipliedEntriesWith(Matrix)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="mulipliedEntriesWith"><b>mulipliedEntriesWith</b></a><pre> public <a href="#_top_">Matrix</a> mulipliedEntriesWith(<a href="#_top_">Matrix</a> Y)</pre><dl> <dd> Multiply entries.</dl><a name="updateDivideByRowVector(Matrix)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="updateDivideByRowVector"><b>updateDivideByRowVector</b></a><pre> public void updateDivideByRowVector(<a href="#_top_">Matrix</a> vec)</pre><dl> <dd> X_{ij} = X_{ij}/v_{j}.</dl><a name="diagonal()"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="diagonal"><b>diagonal</b></a><pre> public <a href="#_top_">Matrix</a> diagonal()</pre><dl> <dd> If the matrix is a row or column vector, make a diagonal matrix from it.Otherwise extract its diagonal as a row vector.</dl><a name="eigenvalues(double, int)"><img src="images/red-ball.gif" width=12 height=12 alt=" o "></a><a name="eigenvalues"><b>eigenvalues</b></a><pre> public <a href="#_top_">Matrix</a> eigenvalues(double eps, int lmax)</pre><dl> <dd> Make a row vector including the eigenvalues of the matrix. <dl> <dt> <b>Parameters:</b> <dd> eps - allowable absolute value of off-diagonal entries </dl></dl><hr><p><a href="http://www.aist.go.jp/NIBH/~b0616/">Akio Utsugi</a><p>National Institute of Bioscience and Human-Technology<br><address><a href="mailto:utsugi@nibh.go.jp">utsugi@nibh.go.jp</a></address></body></html>⌨️ 快捷键说明
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