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Mise à jour de lapack vers la version 3.3.0.
1: SUBROUTINE ZUNMQL( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, 2: $ WORK, LWORK, 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, LDA, LDC, LWORK, M, N 12: * .. 13: * .. Array Arguments .. 14: COMPLEX*16 A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * ) 15: * .. 16: * 17: * Purpose 18: * ======= 19: * 20: * ZUNMQL overwrites the general complex M-by-N matrix C with 21: * 22: * SIDE = 'L' SIDE = 'R' 23: * TRANS = 'N': Q * C C * Q 24: * TRANS = 'C': Q**H * C C * Q**H 25: * 26: * where Q is a complex unitary matrix defined as the product of k 27: * elementary reflectors 28: * 29: * Q = H(k) . . . H(2) H(1) 30: * 31: * as returned by ZGEQLF. Q is of order M if SIDE = 'L' and of order N 32: * if SIDE = 'R'. 33: * 34: * Arguments 35: * ========= 36: * 37: * SIDE (input) CHARACTER*1 38: * = 'L': apply Q or Q**H from the Left; 39: * = 'R': apply Q or Q**H from the Right. 40: * 41: * TRANS (input) CHARACTER*1 42: * = 'N': No transpose, apply Q; 43: * = 'C': Transpose, apply Q**H. 44: * 45: * M (input) INTEGER 46: * The number of rows of the matrix C. M >= 0. 47: * 48: * N (input) INTEGER 49: * The number of columns of the matrix C. N >= 0. 50: * 51: * K (input) INTEGER 52: * The number of elementary reflectors whose product defines 53: * the matrix Q. 54: * If SIDE = 'L', M >= K >= 0; 55: * if SIDE = 'R', N >= K >= 0. 56: * 57: * A (input) COMPLEX*16 array, dimension (LDA,K) 58: * The i-th column must contain the vector which defines the 59: * elementary reflector H(i), for i = 1,2,...,k, as returned by 60: * ZGEQLF in the last k columns of its array argument A. 61: * A is modified by the routine but restored on exit. 62: * 63: * LDA (input) INTEGER 64: * The leading dimension of the array A. 65: * If SIDE = 'L', LDA >= max(1,M); 66: * if SIDE = 'R', LDA >= max(1,N). 67: * 68: * TAU (input) COMPLEX*16 array, dimension (K) 69: * TAU(i) must contain the scalar factor of the elementary 70: * reflector H(i), as returned by ZGEQLF. 71: * 72: * C (input/output) COMPLEX*16 array, dimension (LDC,N) 73: * On entry, the M-by-N matrix C. 74: * On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q. 75: * 76: * LDC (input) INTEGER 77: * The leading dimension of the array C. LDC >= max(1,M). 78: * 79: * WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) 80: * On exit, if INFO = 0, WORK(1) returns the optimal LWORK. 81: * 82: * LWORK (input) INTEGER 83: * The dimension of the array WORK. 84: * If SIDE = 'L', LWORK >= max(1,N); 85: * if SIDE = 'R', LWORK >= max(1,M). 86: * For optimum performance LWORK >= N*NB if SIDE = 'L', and 87: * LWORK >= M*NB if SIDE = 'R', where NB is the optimal 88: * blocksize. 89: * 90: * If LWORK = -1, then a workspace query is assumed; the routine 91: * only calculates the optimal size of the WORK array, returns 92: * this value as the first entry of the WORK array, and no error 93: * message related to LWORK is issued by XERBLA. 94: * 95: * INFO (output) INTEGER 96: * = 0: successful exit 97: * < 0: if INFO = -i, the i-th argument had an illegal value 98: * 99: * ===================================================================== 100: * 101: * .. Parameters .. 102: INTEGER NBMAX, LDT 103: PARAMETER ( NBMAX = 64, LDT = NBMAX+1 ) 104: * .. 105: * .. Local Scalars .. 106: LOGICAL LEFT, LQUERY, NOTRAN 107: INTEGER I, I1, I2, I3, IB, IINFO, IWS, LDWORK, LWKOPT, 108: $ MI, NB, NBMIN, NI, NQ, NW 109: * .. 110: * .. Local Arrays .. 111: COMPLEX*16 T( LDT, NBMAX ) 112: * .. 113: * .. External Functions .. 114: LOGICAL LSAME 115: INTEGER ILAENV 116: EXTERNAL LSAME, ILAENV 117: * .. 118: * .. External Subroutines .. 119: EXTERNAL XERBLA, ZLARFB, ZLARFT, ZUNM2L 120: * .. 121: * .. Intrinsic Functions .. 122: INTRINSIC MAX, MIN 123: * .. 124: * .. Executable Statements .. 125: * 126: * Test the input arguments 127: * 128: INFO = 0 129: LEFT = LSAME( SIDE, 'L' ) 130: NOTRAN = LSAME( TRANS, 'N' ) 131: LQUERY = ( LWORK.EQ.-1 ) 132: * 133: * NQ is the order of Q and NW is the minimum dimension of WORK 134: * 135: IF( LEFT ) THEN 136: NQ = M 137: NW = MAX( 1, N ) 138: ELSE 139: NQ = N 140: NW = MAX( 1, M ) 141: END IF 142: IF( .NOT.LEFT .AND. .NOT.LSAME( SIDE, 'R' ) ) THEN 143: INFO = -1 144: ELSE IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS, 'C' ) ) THEN 145: INFO = -2 146: ELSE IF( M.LT.0 ) THEN 147: INFO = -3 148: ELSE IF( N.LT.0 ) THEN 149: INFO = -4 150: ELSE IF( K.LT.0 .OR. K.GT.NQ ) THEN 151: INFO = -5 152: ELSE IF( LDA.LT.MAX( 1, NQ ) ) THEN 153: INFO = -7 154: ELSE IF( LDC.LT.MAX( 1, M ) ) THEN 155: INFO = -10 156: END IF 157: * 158: IF( INFO.EQ.0 ) THEN 159: IF( M.EQ.0 .OR. N.EQ.0 ) THEN 160: LWKOPT = 1 161: ELSE 162: * 163: * Determine the block size. NB may be at most NBMAX, where 164: * NBMAX is used to define the local array T. 165: * 166: NB = MIN( NBMAX, ILAENV( 1, 'ZUNMQL', SIDE // TRANS, M, N, 167: $ K, -1 ) ) 168: LWKOPT = NW*NB 169: END IF 170: WORK( 1 ) = LWKOPT 171: * 172: IF( LWORK.LT.NW .AND. .NOT.LQUERY ) THEN 173: INFO = -12 174: END IF 175: END IF 176: * 177: IF( INFO.NE.0 ) THEN 178: CALL XERBLA( 'ZUNMQL', -INFO ) 179: RETURN 180: ELSE IF( LQUERY ) THEN 181: RETURN 182: END IF 183: * 184: * Quick return if possible 185: * 186: IF( M.EQ.0 .OR. N.EQ.0 ) THEN 187: RETURN 188: END IF 189: * 190: NBMIN = 2 191: LDWORK = NW 192: IF( NB.GT.1 .AND. NB.LT.K ) THEN 193: IWS = NW*NB 194: IF( LWORK.LT.IWS ) THEN 195: NB = LWORK / LDWORK 196: NBMIN = MAX( 2, ILAENV( 2, 'ZUNMQL', SIDE // TRANS, M, N, K, 197: $ -1 ) ) 198: END IF 199: ELSE 200: IWS = NW 201: END IF 202: * 203: IF( NB.LT.NBMIN .OR. NB.GE.K ) THEN 204: * 205: * Use unblocked code 206: * 207: CALL ZUNM2L( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, 208: $ IINFO ) 209: ELSE 210: * 211: * Use blocked code 212: * 213: IF( ( LEFT .AND. NOTRAN ) .OR. 214: $ ( .NOT.LEFT .AND. .NOT.NOTRAN ) ) THEN 215: I1 = 1 216: I2 = K 217: I3 = NB 218: ELSE 219: I1 = ( ( K-1 ) / NB )*NB + 1 220: I2 = 1 221: I3 = -NB 222: END IF 223: * 224: IF( LEFT ) THEN 225: NI = N 226: ELSE 227: MI = M 228: END IF 229: * 230: DO 10 I = I1, I2, I3 231: IB = MIN( NB, K-I+1 ) 232: * 233: * Form the triangular factor of the block reflector 234: * H = H(i+ib-1) . . . H(i+1) H(i) 235: * 236: CALL ZLARFT( 'Backward', 'Columnwise', NQ-K+I+IB-1, IB, 237: $ A( 1, I ), LDA, TAU( I ), T, LDT ) 238: IF( LEFT ) THEN 239: * 240: * H or H' is applied to C(1:m-k+i+ib-1,1:n) 241: * 242: MI = M - K + I + IB - 1 243: ELSE 244: * 245: * H or H' is applied to C(1:m,1:n-k+i+ib-1) 246: * 247: NI = N - K + I + IB - 1 248: END IF 249: * 250: * Apply H or H' 251: * 252: CALL ZLARFB( SIDE, TRANS, 'Backward', 'Columnwise', MI, NI, 253: $ IB, A( 1, I ), LDA, T, LDT, C, LDC, WORK, 254: $ LDWORK ) 255: 10 CONTINUE 256: END IF 257: WORK( 1 ) = LWKOPT 258: RETURN 259: * 260: * End of ZUNMQL 261: * 262: END