Package hermite/HNF.SolveDioph: Difference between revisions

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<command>
<command>
   <title>HNF.SolveDioph</title>
   <title>HNF.SolveDioph</title>
   <short_description>Solves linear systems of equations over the integers </short_description>
   <short_description>This function solves linear systems of equations over the integers. </short_description>
    
    
   <syntax>HNF.SolveDioph(A:MAT, B:MAT>):LIST</syntax>
   <syntax>HNF.SolveDioph(A:MAT, B:MAT>):LIST</syntax>
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Computes a solution of the linear system AX=B. If only one argument A is given then the function computes a basis of the solution space of the homogeneous system AX=0.
Computes a solution of the linear system AX=B. If only one argument A is given then the function computes a basis of the solution space of the homogeneous system AX=0.
     <itemize>
     <itemize>
       <item>@param <tt><<parameter name>></tt> <<parameter description>></item>
       <item>@param <tt>A</tt> integer matrix of dimension nxm</item>
       <item>@param <tt><<parameter name>></tt> <<parameter description>></item>
       <item>@param <tt>B</tt> (optional) integer matrix of dimension mx1</item>
       <item>@return <<description of the return value>></item>
       <item>@return a solution or basis of the solution space if system is homogeneous</item>
     </itemize>
     </itemize>
   
   
    <!-- Examples here (also only one or more than two possible) -->
    <!-- It is important to omit any indentation inside the example environment -->
    <!-- may also go over more lines, but the </example>-tag should not be in a new line -->
     <example><<first example>></example>
     <example><<first example>></example>
     <example><<second example>></example>
     <example><<second example>></example>
   </description>
   </description>


  <!-- Add related pages (also more or none possible) -->
  <seealso>
    <see><<first page>></see>
    <see><<second page>></see>
  </seealso>


  <!-- Add all data types used in the signature of your function (also more or none possible) -->
   <types>
   <types>
     <type><<first type>></type>
     <type>MAT</type>
     <type><<second type>></type>
     <type>LIST</type>
   </types>
   </types>


  <!-- Add keys here (first three are mandatory, other ones are optional) -->
   <key>SolveDioph</key>
   <key><<function name>></key>
   <key>HNF.SolveDioph</key>
   <key><<alias>>.<<function name>></key>
   <key>hermite.SolveDioph</key>
   <key><<package name>>.<<function name>></key>
  <key><<first key>></key>
  <key><<second key>></key>


   <wiki-category>Package <<package name>></wiki-category>
   <wiki-category>Package hermite</wiki-category>


</command>
</command>

Latest revision as of 15:05, 7 November 2020

HNF.SolveDioph

This function solves linear systems of equations over the integers.

Syntax

HNF.SolveDioph(A:MAT, B:MAT>):LIST

Description

Computes a solution of the linear system AX=B. If only one argument A is given then the function computes a basis of the solution space of the homogeneous system AX=0.

  • @param A integer matrix of dimension nxm

  • @param B (optional) integer matrix of dimension mx1

  • @return a solution or basis of the solution space if system is homogeneous

Example

<<first example>>

Example

<<second example>>






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