org.netlib.lapack
Class Slarft
java.lang.Object
org.netlib.lapack.Slarft
public class Slarft
- 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
* =======
*
* SLARFT forms the triangular factor T of a real block reflector H
* of order n, which is defined as a product of k elementary reflectors.
*
* If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular;
*
* If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular.
*
* If STOREV = 'C', the vector which defines the elementary reflector
* H(i) is stored in the i-th column of the array V, and
*
* H = I - V * T * V'
*
* If STOREV = 'R', the vector which defines the elementary reflector
* H(i) is stored in the i-th row of the array V, and
*
* H = I - V' * T * V
*
* Arguments
* =========
*
* DIRECT (input) CHARACTER*1
* Specifies the order in which the elementary reflectors are
* multiplied to form the block reflector:
* = 'F': H = H(1) H(2) . . . H(k) (Forward)
* = 'B': H = H(k) . . . H(2) H(1) (Backward)
*
* STOREV (input) CHARACTER*1
* Specifies how the vectors which define the elementary
* reflectors are stored (see also Further Details):
* = 'C': columnwise
* = 'R': rowwise
*
* N (input) INTEGER
* The order of the block reflector H. N >= 0.
*
* K (input) INTEGER
* The order of the triangular factor T (= the number of
* elementary reflectors). K >= 1.
*
* V (input/output) REAL array, dimension
* (LDV,K) if STOREV = 'C'
* (LDV,N) if STOREV = 'R'
* The matrix V. See further details.
*
* LDV (input) INTEGER
* The leading dimension of the array V.
* If STOREV = 'C', LDV >= max(1,N); if STOREV = 'R', LDV >= K.
*
* TAU (input) REAL array, dimension (K)
* TAU(i) must contain the scalar factor of the elementary
* reflector H(i).
*
* T (output) REAL array, dimension (LDT,K)
* The k by k triangular factor T of the block reflector.
* If DIRECT = 'F', T is upper triangular; if DIRECT = 'B', T is
* lower triangular. The rest of the array is not used.
*
* LDT (input) INTEGER
* The leading dimension of the array T. LDT >= K.
*
* Further Details
* ===============
*
* The shape of the matrix V and the storage of the vectors which define
* the H(i) is best illustrated by the following example with n = 5 and
* k = 3. The elements equal to 1 are not stored; the corresponding
* array elements are modified but restored on exit. The rest of the
* array is not used.
*
* DIRECT = 'F' and STOREV = 'C': DIRECT = 'F' and STOREV = 'R':
*
* V = ( 1 ) V = ( 1 v1 v1 v1 v1 )
* ( v1 1 ) ( 1 v2 v2 v2 )
* ( v1 v2 1 ) ( 1 v3 v3 )
* ( v1 v2 v3 )
* ( v1 v2 v3 )
*
* DIRECT = 'B' and STOREV = 'C': DIRECT = 'B' and STOREV = 'R':
*
* V = ( v1 v2 v3 ) V = ( v1 v1 1 )
* ( v1 v2 v3 ) ( v2 v2 v2 1 )
* ( 1 v2 v3 ) ( v3 v3 v3 v3 1 )
* ( 1 v3 )
* ( 1 )
*
* =====================================================================
*
* .. Parameters ..
Method Summary |
static void |
slarft(java.lang.String direct,
java.lang.String storev,
int n,
int k,
float[] v,
int _v_offset,
int ldv,
float[] tau,
int _tau_offset,
float[] t,
int _t_offset,
int ldt)
|
Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Slarft
public Slarft()
slarft
public static void slarft(java.lang.String direct,
java.lang.String storev,
int n,
int k,
float[] v,
int _v_offset,
int ldv,
float[] tau,
int _tau_offset,
float[] t,
int _t_offset,
int ldt)