Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

MatrixDecomposition

Symbols

  • CMRDecomposition
  • CRDecomposition
  • CWBDecomposition
  • Submatrix
  • UVTransposeMatrix
  • UVTranspose
LawrenceWinkler`MatrixDecomposition`
CWBDecomposition
​
CWBDecomposition[mat]: An alternative decomposition algorithm to CMRDecomposition such that
-1
CW
B = mat. Shows that
-1
M
of CMR = W of CWB
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
In[1]:=
A1=Partition[Table[i,{i,12}],4]
Out[1]=
{{1,2,3,4},{5,6,7,8},{9,10,11,12}}
In[2]:=
A1//MatrixForm
Out[2]//MatrixForm=
1
2
3
4
5
6
7
8
9
10
11
12
In[3]:=
{c,w,b}=
CWBDecomposition
[A1]
Out[3]=
{{{1,2},{5,6},{9,10}},{{1,2},{5,6}},{{1,2,3,4},{5,6,7,8}}}
In[4]:=
MatrixForm[#]&/@{c,w,b}
Out[4]=

1
2
5
6
9
10
,
1
2
5
6
,
1
2
3
4
5
6
7
8

In[5]:=
c.Inverse[w].b//MatrixForm
Out[5]//MatrixForm=
1
2
3
4
5
6
7
8
9
10
11
12
""

© 2025 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com