﻿<?xml version='1.0' encoding='UTF-8'?><rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/"><channel><title>Bluebit Software Support Forum / Technical Support and Help / Matrix ActiveX Component  / matrix square root / Latest Posts</title><generator>InstantForum.NET v4.1.4</generator><description>Bluebit Software Support Forum</description><link>http://www.bluebit.gr/forum/</link><webMaster>support@bluebit.gr</webMaster><lastBuildDate>Thu, 09 Sep 2010 13:04:23 GMT</lastBuildDate><ttl>20</ttl><item><title>RE: matrix square root</title><link>http://www.bluebit.gr/forum/Topic492-1-1.aspx</link><description>Since B is a symmetric and positive definite matrix then it can be digonazible as:&lt;/P&gt;&lt;P&gt;B = U' x L x U&lt;/P&gt;&lt;P&gt;where U are the eigenvectors and L is a diagonal matrix containing the eigenvalues. Now define matrix S = Sqrt(L), a matrix containing the square roots of eigenvalues (eigenvalues are real and positive). Then B can be expressed as&lt;/P&gt;&lt;P&gt;B = U' x S x S x U&lt;/P&gt;&lt;P&gt;Let A = S x U  and A' = U' x S and one (not unique) solution to your problem has been found.</description><pubDate>Tue, 19 Aug 2008 06:47:13 GMT</pubDate><dc:creator>Trifon</dc:creator></item><item><title>matrix square root</title><link>http://www.bluebit.gr/forum/Topic492-1-1.aspx</link><description>I need to know how can I calculate A from  B=A' A ? &lt;/P&gt;&lt;P&gt;note: A is not a square matrix.&lt;/P&gt;&lt;P&gt;Dim(B)=18*18   and     Dim(A)=4*18&lt;BR&gt;</description><pubDate>Thu, 14 Aug 2008 11:33:30 GMT</pubDate><dc:creator>farnaz</dc:creator></item></channel></rss>