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Matrix_Template_Library.rar c++矩阵模块库函数

<DD><FONT FACE="Times" SIZE=3><B>Blocked <A HREF="Matrix.html" >Matrix</A> Generator</B></FONT></DD></DT>




<P><DT>
<A HREF="rowsconstMatrix.html">
<FONT FACE="Helvetica" SIZE=3><B>rows</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Access the row-wise view of the <A HREF="matrix.html" >matrix</A></B></FONT></DD></DT>




<P><DT>
<A HREF="columnsconstMatrix.html">
<FONT FACE="Helvetica" SIZE=3><B>columns</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Access the column-wise view of the <A HREF="matrix.html" >matrix</A></B></FONT></DD></DT>




<P><DT>
<A HREF="transconstMatrix.html">
<FONT FACE="Helvetica" SIZE=3><B>trans</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Swap the orientation of a <A HREF="matrix.html" >matrix</A>.</B></FONT></DD></DT>




<P><DT>
<A HREF="sumconstVector.html">
<FONT FACE="Helvetica" SIZE=3><B>sum</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Sum:  <tt>s <- sum_i(x(i))</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="scaleLinalgObjconstT.html">
<FONT FACE="Helvetica" SIZE=3><B>scale</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Scale:  <tt>A <- alpha*A or x <- alpha x</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="set_diagonalMatrixconstT.html">
<FONT FACE="Helvetica" SIZE=3><B>set_diagonal</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Set Diagonal:  <tt>A(i,i) <- alpha</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="two_normconstVector.html">
<FONT FACE="Helvetica" SIZE=3><B>two_norm</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Two Norm: <tt>s <- sqrt(sum_i(|x(i)^2|))</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="sum_squaresconstVector.html">
<FONT FACE="Helvetica" SIZE=3><B>sum_squares</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Sum of the Squares</B></FONT></DD></DT>
















<P><DT>
<A HREF="one_normconstLinalgObj.html">
<FONT FACE="Helvetica" SIZE=3><B>one_norm</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>One Norm:  <tt>s <- sum(|x_i|) or s <- max_i(sum_j(|A(i,j)|))</tt></B></FONT></DD></DT>










<P><DT>
<A HREF="infinity_normconstLinalgObj.html">
<FONT FACE="Helvetica" SIZE=3><B>infinity_norm</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Infinity Norm: <tt>s <- max_j(sum_i(|A(i,j)|)) or s <- max_i(|x(i)|)</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="max_indexconstVec.html">
<FONT FACE="Helvetica" SIZE=3><B>max_index</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Max Index:  <tt>i <- index of max(|x(i)|)</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="max_abs_indexconstVec.html">
<FONT FACE="Helvetica" SIZE=3><B>max_abs_index</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Maximum Absolute Index:  <tt>i <- index of max(|x(i)|)</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="min_indexconstVec.html">
<FONT FACE="Helvetica" SIZE=3><B>min_index</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Minimum Index:  <tt>i <- index of min(x(i))</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="min_abs_indexconstVec.html">
<FONT FACE="Helvetica" SIZE=3><B>min_abs_index</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Minimum Absolute Index:  <tt>i <- index of min(|x(i)|)</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="maxconstVec.html">
<FONT FACE="Helvetica" SIZE=3><B>max</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Max Value:  <tt>s <- max(x(i))</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="minconstVec.html">
<FONT FACE="Helvetica" SIZE=3><B>min</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Min Value:  <tt>s <- min(x_i)</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="generate_householderTconstVecVecT.html">
<FONT FACE="Helvetica" SIZE=3><B>generate_householder</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Generate Householder Transform</B></FONT></DD></DT>




<P><DT>
<A HREF="transposeMatrix.html">
<FONT FACE="Helvetica" SIZE=3><B>transpose</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Transpose in Place:  <tt>A <- A^T</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="transposeconstMatAMatB.html">
<FONT FACE="Helvetica" SIZE=3><B>transpose</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Transpose: <tt>B <- A^T</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="multconstMatrixconstVecXconstVecYVecZ.html">
<FONT FACE="Helvetica" SIZE=3><B>mult</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Multiplication:  <tt>z <- A x + y</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="__mult_dimconstMatrixconstVecXVecYoned_tag.html">
<FONT FACE="Helvetica" SIZE=3><B>__mult_dim</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B><A HREF="Matrix.html" >Matrix</A> <A HREF="Vector.html" >Vector</A> Multiplication:  <tt>y <- A x</tt></B></FONT></DD></DT>
















<P><DT>
<A HREF="matmat_multconstMatAconstMatBMatCtriangle_tag.html">
<FONT FACE="Helvetica" SIZE=3><B>matmat_mult</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Specialization for triangular matrices</B></FONT></DD></DT>







<P><DT>
<A HREF="__mult_dimconstMatAconstMatBMatCtwod_tag.html">
<FONT FACE="Helvetica" SIZE=3><B>__mult_dim</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B><A HREF="Matrix.html" >Matrix</A> multiplication  C <- C + A * B</B></FONT></DD></DT>













<P><DT>
<A HREF="tri_solveconstTriMatrixVecX.html">
<FONT FACE="Helvetica" SIZE=3><B>tri_solve</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Triangular Solve:  <tt>x <- T^{-1} * x</tt></B></FONT></DD></DT>










<P><DT>
<A HREF="tri_solveconstMatTMatBSide.html">
<FONT FACE="Helvetica" SIZE=3><B>tri_solve</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Triangular Solve: <tt>B <- A^{-1} * B  or  B <- B * A^{-1}</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="rank_one_updateMatrixconstVecXconstVecY.html">
<FONT FACE="Helvetica" SIZE=3><B>rank_one_update</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Rank One Update:   <tt>A <- A  +  x * y^T</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="rank_two_updateMatrixconstVecXconstVecY.html">
<FONT FACE="Helvetica" SIZE=3><B>rank_two_update</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Rank Two Update:  <tt>A <- A  +  x * y^T  +  y * x^T</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="scatterconstVecXVecY.html">
<FONT FACE="Helvetica" SIZE=3><B>scatter</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Scatter <tt>y <- x</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="gatherconstVecXVecY.html">
<FONT FACE="Helvetica" SIZE=3><B>gather</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Gather <tt>y <- x</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="copyconstLinalgALinalgB.html">
<FONT FACE="Helvetica" SIZE=3><B>copy</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Copy:  <tt>B <- A or y <- x</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="addconstVecXconstVecYVecZ.html">
<FONT FACE="Helvetica" SIZE=3><B>add</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Add:  <tt>z <- x + y</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="addconstVecXconstVecYconstVecZVecW.html">
<FONT FACE="Helvetica" SIZE=3><B>add</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Add:  <tt>w <- x + y + z</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="addconstLinalgALinalgB.html">
<FONT FACE="Helvetica" SIZE=3><B>add</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Add:  <tt>B <- A + B  or  y <- x + y</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="ele_multconstVecXconstVecYVecZ.html">
<FONT FACE="Helvetica" SIZE=3><B>ele_mult</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Element-wise Multiplication:  <tt>z <- x O* y</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="ele_multconstMatAMatB.html">
<FONT FACE="Helvetica" SIZE=3><B>ele_mult</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Element-wise Multiply:  <tt>B <- A O* B</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="ele_divconstVecXconstVecYVecZ.html">
<FONT FACE="Helvetica" SIZE=3><B>ele_div</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Element-wise Division:  <tt>z <- x O/ y</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="swapLinalgALinalgB.html">
<FONT FACE="Helvetica" SIZE=3><B>swap</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Swap:   <tt>B <-> A or y <-> x</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="dotconstVecXconstVecYT.html">
<FONT FACE="Helvetica" SIZE=3><B>dot</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Dot Product:  <tt>s <- x . y + s</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="dotconstVecXconstVecY.html">
<FONT FACE="Helvetica" SIZE=3><B>dot</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Dot Product:  <tt>s <- x . y</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="dotconstVecXconstVecYdouble_double.html">
<FONT FACE="Helvetica" SIZE=3><B>dot</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Dot Product (extended precision):  <tt>s <- x . y + s</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="dot_conjconstVecXconstVecYT.html">
<FONT FACE="Helvetica" SIZE=3><B>dot_conj</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Dot Conjugate:  <tt>s <- x . conj(y) + s</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="dot_conjconstVecXconstVecY.html">
<FONT FACE="Helvetica" SIZE=3><B>dot_conj</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Dot Conjugate:   <tt>s <- x . conj(y)</tt></B></FONT></DD></DT>




<P><DT>
<A HREF="copyInIterOutIter.html">
<FONT FACE="Helvetica" SIZE=3><B>copy</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Copy</B></FONT></DD></DT>




<P><DT>
<A HREF="transformInIterOutIterUnaryOp.html">
<FONT FACE="Helvetica" SIZE=3><B>transform</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Transform (one input iterator)</B></FONT></DD></DT>




<P><DT>
<A HREF="transformInIter1InIter2OutIterBinOp.html">
<FONT FACE="Helvetica" SIZE=3><B>transform</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Transform  (two input iterators)</B></FONT></DD></DT>




<P><DT>
<A HREF="fillOutputIteratorconstT.html">
<FONT FACE="Helvetica" SIZE=3><B>fill</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Fill</B></FONT></DD></DT>




<P><DT>
<A HREF="swap_rangesForwardIterator1ForwardIterator2.html">
<FONT FACE="Helvetica" SIZE=3><B>swap_ranges</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Swap Ranges</B></FONT></DD></DT>




<P><DT>
<A HREF="accumulateInputIteratorT.html">
<FONT FACE="Helvetica" SIZE=3><B>accumulate</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Accumulate (with default operation)</B></FONT></DD></DT>




<P><DT>
<A HREF="accumulateInputIteratorTBinaryOperation.html">
<FONT FACE="Helvetica" SIZE=3><B>accumulate</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Accumulate (with user-supplied operation)</B></FONT></DD></DT>




<P><DT>
<A HREF="inner_productInIter1InIter2TBinOp1BinOp2.html">
<FONT FACE="Helvetica" SIZE=3><B>inner_product</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Inner Product (user supplied operators)</B></FONT></DD></DT>




<P><DT>
<A HREF="inner_productInIter1InIter2T.html">
<FONT FACE="Helvetica" SIZE=3><B>inner_product</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Inner Product (with default operators)</B></FONT></DD></DT>




<P><DT>
<A HREF="lu_factorDenseMatrixPvector.html">
<FONT FACE="Helvetica" SIZE=3><B>lu_factor</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>LU Factorization of a general (<A HREF="dense.html" >dense</A>) <A HREF="matrix.html" >matrix</A></B></FONT></DD></DT>




<P><DT>
<A HREF="lu_solveconstDenseMatrixconstPvectorconstVectorBVectorX.html">
<FONT FACE="Helvetica" SIZE=3><B>lu_solve</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>LU Solve</B></FONT></DD></DT>




<P><DT>
<A HREF="lu_inverseconstDenseMatrixLUconstPvectorDenseMatrix.html">
<FONT FACE="Helvetica" SIZE=3><B>lu_inverse</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>LU Inverse</B></FONT></DD></DT>




<P><DT>
<A HREF="trans_iterIteratorUnaryFunction.html">
<FONT FACE="Helvetica" SIZE=3><B>trans_iter</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Helper function for creating a transforming iterator</B></FONT></DD></DT>




<P><DT>
<A HREF="read_dense_matlabmatlab_densecharconstchar.html">
<FONT FACE="Helvetica" SIZE=3><B>read_dense_matlab</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Read a Dense Real <A HREF="Matrix.html" >Matrix</A> from a Matlab file (.mat)</B></FONT></DD></DT>




<P><DT>
<A HREF="write_dense_matlabmatlab_densecharconstchar.html">
<FONT FACE="Helvetica" SIZE=3><B>write_dense_matlab</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Write a Dense Real <A HREF="Matrix.html" >Matrix</A> to a Matlab file (.mat)</B></FONT></DD></DT>




<P><DT>
<A HREF="read_sparse_matlabmatlab_sparsecharconstchar.html">
<FONT FACE="Helvetica" SIZE=3><B>read_sparse_matlab</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Read a Sparse Real <A HREF="Matrix.html" >Matrix</A> from a Matlab file (.mat)</B></FONT></DD></DT>




<P><DT>
<A HREF="write_sparse_matlabmatlab_sparsecharconstchar.html">
<FONT FACE="Helvetica" SIZE=3><B>write_sparse_matlab</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Write a Sparse Real <A HREF="Matrix.html" >Matrix</A> to a Matlab file (.mat)</B></FONT></DD></DT>




<P><DT>
<A HREF="geconcharconstLapackMatAconstRealReal.html">
<FONT FACE="Helvetica" SIZE=3><B>gecon</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Estimate the reciprocal of the condition number of a general <A HREF="matrix.html" >matrix</A>.</B></FONT></DD></DT>




<P><DT>
<A HREF="geevintLapackMatAVectorComplexLapackMatVLLapackMatVR.html">
<FONT FACE="Helvetica" SIZE=3><B>geev</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Compute the eigenvalues.</B></FONT></DD></DT>




<P><DT>
<A HREF="geqpfLapackMatAVectorIntVectorT.html">
<FONT FACE="Helvetica" SIZE=3><B>geqpf</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>QR Factorization with Column Pivoting.</B></FONT></DD></DT>




<P><DT>
<A HREF="geqrfLapackMatAVectorT.html">
<FONT FACE="Helvetica" SIZE=3><B>geqrf</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>QR Factorization of a General <A HREF="Matrix.html" >Matrix</A></B></FONT></DD></DT>




<P><DT>
<A HREF="gesvLapackMatAVectorIntLapackMatB.html">
<FONT FACE="Helvetica" SIZE=3><B>gesv</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Solution to a linear system in a general <A HREF="matrix.html" >matrix</A>.</B></FONT></DD></DT>




<P><DT>
<A HREF="getrfLapackMatrixVectorInt.html">
<FONT FACE="Helvetica" SIZE=3><B>getrf</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>LU factorization of a general <A HREF="matrix.html" >matrix</A> A.  </B></FONT></DD></DT>




<P><DT>
<A HREF="getrscharLapackMatrixAVectorIntLapackMatrixB.html">
<FONT FACE="Helvetica" SIZE=3><B>getrs</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Solution to a system using LU factorization </B></FONT></DD></DT>




<P><DT>
<A HREF="geequconstLapackMatAVectorRealVectorRealRealRealReal.html">
<FONT FACE="Helvetica" SIZE=3><B>geequ</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Equilibrate and reduce condition number.</B></FONT></DD></DT>




<P><DT>
<A HREF="gelqfLapackMatAVectorT.html">
<FONT FACE="Helvetica" SIZE=3><B>gelqf</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Compute an LQ factorization.</B></FONT></DD></DT>




<P><DT>
<A HREF="orglqLapackMatAconstVectorT.html">
<FONT FACE="Helvetica" SIZE=3><B>orglq</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Generate a <A HREF="matrix.html" >matrix</A> Q with orthonormal rows.</B></FONT></DD></DT>




<P><DT>
<A HREF="orgqrLapackMatAconstVectorT.html">
<FONT FACE="Helvetica" SIZE=3><B>orgqr</B></FONT></A>
<DD><FONT FACE="Times" SIZE=3><B>Generate a <A HREF="matrix.html" >matrix</A> Q with orthonormal columns.</B></FONT></DD></DT>




<P><DT>