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java.lang.ObjectJampack.House
public class House
House provides static methods to generate and apply Householder transformations.
Constructor Summary | |
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House()
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Method Summary | |
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static Zmat |
au(Zmat A,
Z1 u,
int r1,
int r2,
int c1,
int c2)
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. |
static Zmat |
au(Zmat A,
Z1 u,
int r1,
int r2,
int c1,
int c2,
Z1 v)
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. |
static Z1 |
genc(Zmat A,
int r1,
int r2,
int c)
Generates a Householder transformation from within the part of column c of a Zmat (altered) extending from rows r1 to r2. |
static Z1 |
genr(Zmat A,
int r,
int c1,
int c2)
Generates a Householder transformation from within the part of row r of a Zmat (altered) extending from columns c1 to c2. |
static Zmat |
ua(Z1 u,
Zmat A,
int r1,
int r2,
int c1,
int c2)
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. |
static Zmat |
ua(Z1 u,
Zmat A,
int r1,
int r2,
int c1,
int c2,
Z1 v)
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. |
Methods inherited from class java.lang.Object |
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equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Constructor Detail |
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public House()
Method Detail |
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public static Z1 genc(Zmat A, int r1, int r2, int c) throws JampackException
A
- The matrix from which the transformation
is to be generated (altered)r1
- The index of the row in which the generating column
beginsr2
- The index of the row in which the generating column
endsc
- The index of the generating column
JampackException
- Passed from below.public static Z1 genr(Zmat A, int r, int c1, int c2) throws JampackException
A
- The matrix from which the transformation
is to be generated (altered)r
- The index of the generating rowc1
- The index of the column in which the generating row
beginsc2
- The index of the column in which the generating row
ends
JampackException
- Passed from below.public static Zmat ua(Z1 u, Zmat A, int r1, int r2, int c1, int c2, Z1 v) throws JampackException
u
- The Householder vectorA
- 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 appliedr2
- The index of the last row to which the transformation
is to be appliedc1
- The index of the first column to which the transformation
is index of the to be appliedc2
- The index of the last column to which the transformation
is to be appliedv
- A work array of length at least c2-c1+1
JampackException
- Thrown if either u or v is too short.public static Zmat ua(Z1 u, Zmat A, int r1, int r2, int c1, int c2) throws JampackException
u
- The Householder vectorA
- 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 appliedr2
- The index of the last row to which the transformation
is to be appliedc1
- The index of the first column to which the transformation
is index of the to be appliedc2
- The index of the last column to which the transformation
is to be applied
JampackException
- Passed from below.public static Zmat au(Zmat A, Z1 u, int r1, int r2, int c1, int c2, Z1 v) throws JampackException
u
- The Householder vectorA
- 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 appliedr2
- The index of the last row to which the transformation
is to be appliedc1
- The index of the first column to which the transformation
is index of the to be appliedc2
- The index of the last column to which the transformation
is to be appliedv
- A work array of length at least c2-c1+1
JampackException
- Thrown if either u or v is too short.public static Zmat au(Zmat A, Z1 u, int r1, int r2, int c1, int c2) throws JampackException
u
- The Householder vectorA
- 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 appliedr2
- The index of the last row to which the transformation
is to be appliedc1
- The index of the first column to which the transformation
is index of the to be appliedc2
- The index of the last column to which the transformation
is to be applied
JampackException
- Passed from below.
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