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Class linear_algebra.LUTest_j 

java.lang.Object
   |
   +----linear_algebra.LUTest_j
public class LUTest_j
extends Object
This class tests the LU_j methods. It
  1. Randomly generates numbers between randlow and randhigh and fills a matrix A with them.
  2. Randomly generates a vector x.
  3. Calculates the vector b = Ax.
  4. Performs a LU decomposition of A. (This tests LU_j.dgefa_j.)
  5. Solves the system Az = b in an effort to recover x. (This tests LU_j.dgesl_j.)
  6. Obtains an estimate of A^{-1} and compares AA^{-1} with the identity matrix. (This tests the matrix inverse portion of LU_j.dgedi_j.)
  7. Via LU_j.dgefa_j and LU_j.dgedi_j, obtains the determinant, detval2, of transpose(R)R where R is upper triangular, and compares it with detval1 = the square of the product of the diagonal elements of R. (This tests the determinant portion of LU_j.dgedi_j.)

Constructor Index

o LUTest_j()

Method Index

o main(String[])

Constructors

o LUTest_j 
 public LUTest_j()

Methods

o main 
 public static void main(String args[])

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