All Packages  Class Hierarchy  This Package  Previous  Next  Index

Class Jampack.House 

java.lang.Object
   |
   +----Jampack.House
public class House
extends Object
House provides static methods to generate and apply Householder transformations.

Constructor Index

o House()

Method Index

o au(Zmat, Z1, int, int, int, int)
Postmultiplies the Householder transformation contained in a Z1 into a Zmat A[r1:r2,c1:c2] and overwrites Zmat A[r1:r2,c1:c2] with the results.
o au(Zmat, Z1, int, int, int, int, Z1)
Postmultiplies the Householder transformation contained in a Z1 into a Zmat A[r1:r2,c1:c2] and overwrites Zmat A[r1:r2,c1:c2] with the results.
o genc(Zmat, int, int, int)
Generates a Householder transformation from within the part of column c of a Zmat (altered) extending from rows r1 to r2.
o genr(Zmat, int, int, int)
Generates a Householder transformation from within the part of row r of a Zmat (altered) extending from columns c1 to c2.
o ua(Z1, Zmat, int, int, int, int)
Premultiplies the Householder transformation contained in a Z1 into a Zmat A[r1:r2,c1:c2] and overwrites Zmat A[r1:r2,c1:c2] with the results.
o ua(Z1, Zmat, int, int, int, int, Z1)
Premultiplies the Householder transformation contained in a Z1 into a Zmat A[r1:r2,c1:c2] and overwrites Zmat A[r1:r2,c1:c2] with the results.

Constructors

o House 
 public House()

Methods

o genc 
 public static Z1 genc(Zmat A,
                       int r1,
                       int r2,
                       int c) throws JampackException
Generates a Householder transformation from within the part of column c of a Zmat (altered) extending from rows r1 to r2. The method overwrites the column with the result of applying the transformation.

Parameters:
A - The matrix from which the transformation is to be generated (altered)
r1 - The index of the row in which the generating column begins
r2 - The index of the row in which the generating column ends
c - The index of the generating column
Returns:
A Z1 of length r2-r1+1 containing the Householder vector
Throws: JampackException
Passed from below.
o genr 
 public static Z1 genr(Zmat A,
                       int r,
                       int c1,
                       int c2) throws JampackException
Generates a Householder transformation from within the part of row r of a Zmat (altered) extending from columns c1 to c2. The method overwrites the row with the result of applying the transformation.

Parameters:
A - The matrix from which the transformation is to be generated (altered)
r - The index of the generating row
c1 - The index of the column in which the generating row begins
c2 - The index of the column in which the generating row ends
Returns:
A Z1 of length r2-r1+1 containing the Householder vector
Throws: JampackException
Passed from below.
o ua 
 public static Zmat ua(Z1 u,
                       Zmat A,
                       int r1,
                       int r2,
                       int c1,
                       int c2,
                       Z1 v) throws JampackException
Premultiplies the Householder transformation contained in a Z1 into a Zmat A[r1:r2,c1:c2] and overwrites Zmat A[r1:r2,c1:c2] with the results. If r1 > r2 or c1 > c2 the method does nothing.

Parameters:
u - The Householder vector
A - The Zmat to which the transformation is to be applied (altered)
r1 - The index of the first row to which the transformation is to be applied
r2 - The index of the last row to which the transformation is to be applied
c1 - The index of the first column to which the transformation is index of the to be applied
c2 - The index of the last column to which the transformation is to be applied
v - A work array of length at least c2-c1+1
Returns:
The transformed Zmat A
Throws: JampackException
Thrown if either u or v is too short.
o ua 
 public static Zmat ua(Z1 u,
                       Zmat A,
                       int r1,
                       int r2,
                       int c1,
                       int c2) throws JampackException
Premultiplies the Householder transformation contained in a Z1 into a Zmat A[r1:r2,c1:c2] and overwrites Zmat A[r1:r2,c1:c2] with the results. If r1 > r2 or c1 > c2 the method does nothing.

Parameters:
u - The Householder vector
A - The Zmat to which the transformation is to be applied (altered)
r1 - The index of the first row to which the transformation is to be applied
r2 - The index of the last row to which the transformation is to be applied
c1 - The index of the first column to which the transformation is index of the to be applied
c2 - The index of the last column to which the transformation is to be applied
Returns:
The transformed Zmat A
Throws: JampackException
Passed from below.
o au 
 public static Zmat au(Zmat A,
                       Z1 u,
                       int r1,
                       int r2,
                       int c1,
                       int c2,
                       Z1 v) throws JampackException
Postmultiplies the Householder transformation contained in a Z1 into a Zmat A[r1:r2,c1:c2] and overwrites Zmat A[r1:r2,c1:c2] with the results. If r1 > r2 or c1 > c2 the method does nothing.

Parameters:
u - The Householder vector
A - The Zmat to which the transformation is to be applied (altered)
r1 - The index of the first row to which the transformation is to be applied
r2 - The index of the last row to which the transformation is to be applied
c1 - The index of the first column to which the transformation is index of the to be applied
c2 - The index of the last column to which the transformation is to be applied
v - A work array of length at least c2-c1+1
Returns:
The transformed Zmat A
Throws: JampackException
Thrown if either u or v is too short.
o au 
 public static Zmat au(Zmat A,
                       Z1 u,
                       int r1,
                       int r2,
                       int c1,
                       int c2) throws JampackException
Postmultiplies the Householder transformation contained in a Z1 into a Zmat A[r1:r2,c1:c2] and overwrites Zmat A[r1:r2,c1:c2] with the results. If r1 > r2 or c1 > c2 the method does nothing.

Parameters:
u - The Householder vector
A - The Zmat to which the transformation is to be applied (altered)
r1 - The index of the first row to which the transformation is to be applied
r2 - The index of the last row to which the transformation is to be applied
c1 - The index of the first column to which the transformation is index of the to be applied
c2 - The index of the last column to which the transformation is to be applied
Returns:
The transformed Zmat A
Throws: JampackException
Passed from below. 
All Packages  Class Hierarchy  This Package  Previous  Next  Index