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Mise à jour de lapack vers la version 3.3.0.
1: SUBROUTINE ZUNMR3( 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: COMPLEX*16 A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * ) 15: * .. 16: * 17: * Purpose 18: * ======= 19: * 20: * ZUNMR3 overwrites the general complex 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 = 'C', or 25: * 26: * C * Q if SIDE = 'R' and TRANS = 'N', or 27: * 28: * C * Q' if SIDE = 'R' and TRANS = 'C', 29: * 30: * where Q is a complex unitary matrix defined as the product of k 31: * elementary reflectors 32: * 33: * Q = H(1) H(2) . . . H(k) 34: * 35: * as returned by ZTZRZF. 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: * = 'C': apply Q' (Conjugate 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) COMPLEX*16 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: * ZTZRZF 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) COMPLEX*16 array, dimension (K) 78: * TAU(i) must contain the scalar factor of the elementary 79: * reflector H(i), as returned by ZTZRZF. 80: * 81: * C (input/output) COMPLEX*16 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) COMPLEX*16 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: COMPLEX*16 TAUI 108: * .. 109: * .. External Functions .. 110: LOGICAL LSAME 111: EXTERNAL LSAME 112: * .. 113: * .. External Subroutines .. 114: EXTERNAL XERBLA, ZLARZ 115: * .. 116: * .. Intrinsic Functions .. 117: INTRINSIC DCONJG, MAX 118: * .. 119: * .. Executable Statements .. 120: * 121: * Test the input arguments 122: * 123: INFO = 0 124: LEFT = LSAME( SIDE, 'L' ) 125: NOTRAN = LSAME( TRANS, 'N' ) 126: * 127: * NQ is the order of Q 128: * 129: IF( LEFT ) THEN 130: NQ = M 131: ELSE 132: NQ = N 133: END IF 134: IF( .NOT.LEFT .AND. .NOT.LSAME( SIDE, 'R' ) ) THEN 135: INFO = -1 136: ELSE IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS, 'C' ) ) THEN 137: INFO = -2 138: ELSE IF( M.LT.0 ) THEN 139: INFO = -3 140: ELSE IF( N.LT.0 ) THEN 141: INFO = -4 142: ELSE IF( K.LT.0 .OR. K.GT.NQ ) THEN 143: INFO = -5 144: ELSE IF( L.LT.0 .OR. ( LEFT .AND. ( L.GT.M ) ) .OR. 145: $ ( .NOT.LEFT .AND. ( L.GT.N ) ) ) THEN 146: INFO = -6 147: ELSE IF( LDA.LT.MAX( 1, K ) ) THEN 148: INFO = -8 149: ELSE IF( LDC.LT.MAX( 1, M ) ) THEN 150: INFO = -11 151: END IF 152: IF( INFO.NE.0 ) THEN 153: CALL XERBLA( 'ZUNMR3', -INFO ) 154: RETURN 155: END IF 156: * 157: * Quick return if possible 158: * 159: IF( M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 ) 160: $ RETURN 161: * 162: IF( ( LEFT .AND. .NOT.NOTRAN .OR. .NOT.LEFT .AND. NOTRAN ) ) THEN 163: I1 = 1 164: I2 = K 165: I3 = 1 166: ELSE 167: I1 = K 168: I2 = 1 169: I3 = -1 170: END IF 171: * 172: IF( LEFT ) THEN 173: NI = N 174: JA = M - L + 1 175: JC = 1 176: ELSE 177: MI = M 178: JA = N - L + 1 179: IC = 1 180: END IF 181: * 182: DO 10 I = I1, I2, I3 183: IF( LEFT ) THEN 184: * 185: * H(i) or H(i)' is applied to C(i:m,1:n) 186: * 187: MI = M - I + 1 188: IC = I 189: ELSE 190: * 191: * H(i) or H(i)' is applied to C(1:m,i:n) 192: * 193: NI = N - I + 1 194: JC = I 195: END IF 196: * 197: * Apply H(i) or H(i)' 198: * 199: IF( NOTRAN ) THEN 200: TAUI = TAU( I ) 201: ELSE 202: TAUI = DCONJG( TAU( I ) ) 203: END IF 204: CALL ZLARZ( SIDE, MI, NI, L, A( I, JA ), LDA, TAUI, 205: $ C( IC, JC ), LDC, WORK ) 206: * 207: 10 CONTINUE 208: * 209: RETURN 210: * 211: * End of ZUNMR3 212: * 213: END