org.netlib.blas
Class Sgbmv
java.lang.Object
org.netlib.blas.Sgbmv
public class Sgbmv
- extends java.lang.Object
Following is the description from the original
Fortran source. For each array argument, the Java
version will include an integer offset parameter, so
the arguments may not match the description exactly.
Contact seymour@cs.utk.edu with any questions.
* ..
*
* Purpose
* =======
*
* SGBMV performs one of the matrix-vector operations
*
* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y,
*
* where alpha and beta are scalars, x and y are vectors and A is an
* m by n band matrix, with kl sub-diagonals and ku super-diagonals.
*
* Parameters
* ==========
*
* TRANS - CHARACTER*1.
* On entry, TRANS specifies the operation to be performed as
* follows:
*
* TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
*
* TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
*
* TRANS = 'C' or 'c' y := alpha*A'*x + beta*y.
*
* Unchanged on exit.
*
* M - INTEGER.
* On entry, M specifies the number of rows of the matrix A.
* M must be at least zero.
* Unchanged on exit.
*
* N - INTEGER.
* On entry, N specifies the number of columns of the matrix A.
* N must be at least zero.
* Unchanged on exit.
*
* KL - INTEGER.
* On entry, KL specifies the number of sub-diagonals of the
* matrix A. KL must satisfy 0 .le. KL.
* Unchanged on exit.
*
* KU - INTEGER.
* On entry, KU specifies the number of super-diagonals of the
* matrix A. KU must satisfy 0 .le. KU.
* Unchanged on exit.
*
* ALPHA - REAL .
* On entry, ALPHA specifies the scalar alpha.
* Unchanged on exit.
*
* A - REAL array of DIMENSION ( LDA, n ).
* Before entry, the leading ( kl + ku + 1 ) by n part of the
* array A must contain the matrix of coefficients, supplied
* column by column, with the leading diagonal of the matrix in
* row ( ku + 1 ) of the array, the first super-diagonal
* starting at position 2 in row ku, the first sub-diagonal
* starting at position 1 in row ( ku + 2 ), and so on.
* Elements in the array A that do not correspond to elements
* in the band matrix (such as the top left ku by ku triangle)
* are not referenced.
* The following program segment will transfer a band matrix
* from conventional full matrix storage to band storage:
*
* DO 20, J = 1, N
* K = KU + 1 - J
* DO 10, I = MAX( 1, J - KU ), MIN( M, J + KL )
* A( K + I, J ) = matrix( I, J )
* 10 CONTINUE
* 20 CONTINUE
*
* Unchanged on exit.
*
* LDA - INTEGER.
* On entry, LDA specifies the first dimension of A as declared
* in the calling (sub) program. LDA must be at least
* ( kl + ku + 1 ).
* Unchanged on exit.
*
* X - REAL array of DIMENSION at least
* ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
* and at least
* ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
* Before entry, the incremented array X must contain the
* vector x.
* Unchanged on exit.
*
* INCX - INTEGER.
* On entry, INCX specifies the increment for the elements of
* X. INCX must not be zero.
* Unchanged on exit.
*
* BETA - REAL .
* On entry, BETA specifies the scalar beta. When BETA is
* supplied as zero then Y need not be set on input.
* Unchanged on exit.
*
* Y - REAL array of DIMENSION at least
* ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
* and at least
* ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
* Before entry, the incremented array Y must contain the
* vector y. On exit, Y is overwritten by the updated vector y.
*
* INCY - INTEGER.
* On entry, INCY specifies the increment for the elements of
* Y. INCY must not be zero.
* Unchanged on exit.
*
*
* Level 2 Blas routine.
*
* -- Written on 22-October-1986.
* Jack Dongarra, Argonne National Lab.
* Jeremy Du Croz, Nag Central Office.
* Sven Hammarling, Nag Central Office.
* Richard Hanson, Sandia National Labs.
*
* .. Parameters ..
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Constructor Summary |
Sgbmv()
|
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Method Summary |
static void |
sgbmv(java.lang.String trans,
int m,
int n,
int kl,
int ku,
float alpha,
float[] a,
int _a_offset,
int lda,
float[] x,
int _x_offset,
int incx,
float beta,
float[] y,
int _y_offset,
int incy)
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| Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Sgbmv
public Sgbmv()
sgbmv
public static void sgbmv(java.lang.String trans,
int m,
int n,
int kl,
int ku,
float alpha,
float[] a,
int _a_offset,
int lda,
float[] x,
int _x_offset,
int incx,
float beta,
float[] y,
int _y_offset,
int incy)