![]() ![]() | ![]() |
Mise à jour de lapack vers la version 3.3.0.
1: SUBROUTINE DORMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, 2: $ WORK, INFO ) 3: * 4: * -- LAPACK routine (version 3.2) -- 5: * -- LAPACK is a software package provided by Univ. of Tennessee, -- 6: * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 7: * November 2006 8: * 9: * .. Scalar Arguments .. 10: CHARACTER SIDE, TRANS 11: INTEGER INFO, K, L, LDA, LDC, M, N 12: * .. 13: * .. Array Arguments .. 14: DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * ) 15: * .. 16: * 17: * Purpose 18: * ======= 19: * 20: * DORMR3 overwrites the general real m by n matrix C with 21: * 22: * Q * C if SIDE = 'L' and TRANS = 'N', or 23: * 24: * Q'* C if SIDE = 'L' and TRANS = 'T', or 25: * 26: * C * Q if SIDE = 'R' and TRANS = 'N', or 27: * 28: * C * Q' if SIDE = 'R' and TRANS = 'T', 29: * 30: * where Q is a real orthogonal matrix defined as the product of k 31: * elementary reflectors 32: * 33: * Q = H(1) H(2) . . . H(k) 34: * 35: * as returned by DTZRZF. Q is of order m if SIDE = 'L' and of order n 36: * if SIDE = 'R'. 37: * 38: * Arguments 39: * ========= 40: * 41: * SIDE (input) CHARACTER*1 42: * = 'L': apply Q or Q' from the Left 43: * = 'R': apply Q or Q' from the Right 44: * 45: * TRANS (input) CHARACTER*1 46: * = 'N': apply Q (No transpose) 47: * = 'T': apply Q' (Transpose) 48: * 49: * M (input) INTEGER 50: * The number of rows of the matrix C. M >= 0. 51: * 52: * N (input) INTEGER 53: * The number of columns of the matrix C. N >= 0. 54: * 55: * K (input) INTEGER 56: * The number of elementary reflectors whose product defines 57: * the matrix Q. 58: * If SIDE = 'L', M >= K >= 0; 59: * if SIDE = 'R', N >= K >= 0. 60: * 61: * L (input) INTEGER 62: * The number of columns of the matrix A containing 63: * the meaningful part of the Householder reflectors. 64: * If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. 65: * 66: * A (input) DOUBLE PRECISION array, dimension 67: * (LDA,M) if SIDE = 'L', 68: * (LDA,N) if SIDE = 'R' 69: * The i-th row must contain the vector which defines the 70: * elementary reflector H(i), for i = 1,2,...,k, as returned by 71: * DTZRZF in the last k rows of its array argument A. 72: * A is modified by the routine but restored on exit. 73: * 74: * LDA (input) INTEGER 75: * The leading dimension of the array A. LDA >= max(1,K). 76: * 77: * TAU (input) DOUBLE PRECISION array, dimension (K) 78: * TAU(i) must contain the scalar factor of the elementary 79: * reflector H(i), as returned by DTZRZF. 80: * 81: * C (input/output) DOUBLE PRECISION array, dimension (LDC,N) 82: * On entry, the m-by-n matrix C. 83: * On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q. 84: * 85: * LDC (input) INTEGER 86: * The leading dimension of the array C. LDC >= max(1,M). 87: * 88: * WORK (workspace) DOUBLE PRECISION array, dimension 89: * (N) if SIDE = 'L', 90: * (M) if SIDE = 'R' 91: * 92: * INFO (output) INTEGER 93: * = 0: successful exit 94: * < 0: if INFO = -i, the i-th argument had an illegal value 95: * 96: * Further Details 97: * =============== 98: * 99: * Based on contributions by 100: * A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA 101: * 102: * ===================================================================== 103: * 104: * .. Local Scalars .. 105: LOGICAL LEFT, NOTRAN 106: INTEGER I, I1, I2, I3, IC, JA, JC, MI, NI, NQ 107: * .. 108: * .. External Functions .. 109: LOGICAL LSAME 110: EXTERNAL LSAME 111: * .. 112: * .. External Subroutines .. 113: EXTERNAL DLARZ, XERBLA 114: * .. 115: * .. Intrinsic Functions .. 116: INTRINSIC MAX 117: * .. 118: * .. Executable Statements .. 119: * 120: * Test the input arguments 121: * 122: INFO = 0 123: LEFT = LSAME( SIDE, 'L' ) 124: NOTRAN = LSAME( TRANS, 'N' ) 125: * 126: * NQ is the order of Q 127: * 128: IF( LEFT ) THEN 129: NQ = M 130: ELSE 131: NQ = N 132: END IF 133: IF( .NOT.LEFT .AND. .NOT.LSAME( SIDE, 'R' ) ) THEN 134: INFO = -1 135: ELSE IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS, 'T' ) ) THEN 136: INFO = -2 137: ELSE IF( M.LT.0 ) THEN 138: INFO = -3 139: ELSE IF( N.LT.0 ) THEN 140: INFO = -4 141: ELSE IF( K.LT.0 .OR. K.GT.NQ ) THEN 142: INFO = -5 143: ELSE IF( L.LT.0 .OR. ( LEFT .AND. ( L.GT.M ) ) .OR. 144: $ ( .NOT.LEFT .AND. ( L.GT.N ) ) ) THEN 145: INFO = -6 146: ELSE IF( LDA.LT.MAX( 1, K ) ) THEN 147: INFO = -8 148: ELSE IF( LDC.LT.MAX( 1, M ) ) THEN 149: INFO = -11 150: END IF 151: IF( INFO.NE.0 ) THEN 152: CALL XERBLA( 'DORMR3', -INFO ) 153: RETURN 154: END IF 155: * 156: * Quick return if possible 157: * 158: IF( M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 ) 159: $ RETURN 160: * 161: IF( ( LEFT .AND. .NOT.NOTRAN .OR. .NOT.LEFT .AND. NOTRAN ) ) THEN 162: I1 = 1 163: I2 = K 164: I3 = 1 165: ELSE 166: I1 = K 167: I2 = 1 168: I3 = -1 169: END IF 170: * 171: IF( LEFT ) THEN 172: NI = N 173: JA = M - L + 1 174: JC = 1 175: ELSE 176: MI = M 177: JA = N - L + 1 178: IC = 1 179: END IF 180: * 181: DO 10 I = I1, I2, I3 182: IF( LEFT ) THEN 183: * 184: * H(i) or H(i)' is applied to C(i:m,1:n) 185: * 186: MI = M - I + 1 187: IC = I 188: ELSE 189: * 190: * H(i) or H(i)' is applied to C(1:m,i:n) 191: * 192: NI = N - I + 1 193: JC = I 194: END IF 195: * 196: * Apply H(i) or H(i)' 197: * 198: CALL DLARZ( SIDE, MI, NI, L, A( I, JA ), LDA, TAU( I ), 199: $ C( IC, JC ), LDC, WORK ) 200: * 201: 10 CONTINUE 202: * 203: RETURN 204: * 205: * End of DORMR3 206: * 207: END