MatrixLUTest.frink

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/** This class tests decomposition routines in Matrix.frink */

use Matrix.frink

A = new Matrix[[[  4,  12, -16],
                [ 12,  37, -43],
                [-16, -43,  98]]]

A = new Matrix[[[  25,  15, -5],
                [ 15,  18, 0],
                [-5, 0,  11]]]

println["Original matrix is:\n" + A.formatMatrix[]]


cb = A.CholeskyB[]
println[]
println["Cholesky-Banachiewicz decomposition is:"]
println[cb.formatMatrix[]]

Aprime = cb.multiply[cb.conjugateTranspose[]]

print["Cholesky-Banachiewicz reversal is: "]
if A.equals[Aprime]
   println["OK"]
else
   println["FAIL:\n"+Aprime.formatMatrix[]]


cc = A.CholeskyCrout[]
println[]
println["Cholesky-Crout decomposition is:"]
println[cc.formatMatrix[]]

Aprime = cc.multiply[cc.conjugateTranspose[]]

print["Cholesky-Crout reversal is: "]
if A.equals[Aprime]
   println["OK"]
else
   println["FAIL:\n"+Aprime.formatMatrix[]]


[L,U] = A.LUDecomposeCrout[]
println[]
println["LUDecomposeCrout decomposition is:"]
println[formatTable[[[L.formatMatrix[],U.formatMatrix[]]]]]

Aprime = L.multiply[U]

print["LUDecomposeCrout reversal is: "]
if A.equals[Aprime]
   println["OK"]
else
   println["FAIL:\n"+Aprime.formatMatrix[]]



[L,U] = A.LUDecomposeCrout2[]
println[]
println["LUDecomposeCrout2 decomposition is:"]
println[formatTable[[[L.formatMatrix[],U.formatMatrix[]]]]]

Aprime = L.multiply[U]

print["LUDecomposeCrout2 reversal is: "]
if A.equals[Aprime]
   println["OK"]
else
   println["FAIL:\n"+Aprime.formatMatrix[]]



Download or view MatrixLUTest.frink in plain text format

This is a program written in the programming language Frink.
For more information, view the Frink Documentation or see More Sample Frink Programs.

Alan Eliasen was born 20143 days, 11 hours, 35 minutes ago.