![]() ![]() | ![]() |
Mise à jour de lapack vers la version 3.3.0.
1: SUBROUTINE ZUNM2L( SIDE, TRANS, M, N, K, 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, LDA, LDC, M, N 12: * .. 13: * .. Array Arguments .. 14: COMPLEX*16 A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * ) 15: * .. 16: * 17: * Purpose 18: * ======= 19: * 20: * ZUNM2L 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(k) . . . H(2) H(1) 34: * 35: * as returned by ZGEQLF. 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: * A (input) COMPLEX*16 array, dimension (LDA,K) 62: * The i-th column must contain the vector which defines the 63: * elementary reflector H(i), for i = 1,2,...,k, as returned by 64: * ZGEQLF in the last k columns of its array argument A. 65: * A is modified by the routine but restored on exit. 66: * 67: * LDA (input) INTEGER 68: * The leading dimension of the array A. 69: * If SIDE = 'L', LDA >= max(1,M); 70: * if SIDE = 'R', LDA >= max(1,N). 71: * 72: * TAU (input) COMPLEX*16 array, dimension (K) 73: * TAU(i) must contain the scalar factor of the elementary 74: * reflector H(i), as returned by ZGEQLF. 75: * 76: * C (input/output) COMPLEX*16 array, dimension (LDC,N) 77: * On entry, the m-by-n matrix C. 78: * On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q. 79: * 80: * LDC (input) INTEGER 81: * The leading dimension of the array C. LDC >= max(1,M). 82: * 83: * WORK (workspace) COMPLEX*16 array, dimension 84: * (N) if SIDE = 'L', 85: * (M) if SIDE = 'R' 86: * 87: * INFO (output) INTEGER 88: * = 0: successful exit 89: * < 0: if INFO = -i, the i-th argument had an illegal value 90: * 91: * ===================================================================== 92: * 93: * .. Parameters .. 94: COMPLEX*16 ONE 95: PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) ) 96: * .. 97: * .. Local Scalars .. 98: LOGICAL LEFT, NOTRAN 99: INTEGER I, I1, I2, I3, MI, NI, NQ 100: COMPLEX*16 AII, TAUI 101: * .. 102: * .. External Functions .. 103: LOGICAL LSAME 104: EXTERNAL LSAME 105: * .. 106: * .. External Subroutines .. 107: EXTERNAL XERBLA, ZLARF 108: * .. 109: * .. Intrinsic Functions .. 110: INTRINSIC DCONJG, MAX 111: * .. 112: * .. Executable Statements .. 113: * 114: * Test the input arguments 115: * 116: INFO = 0 117: LEFT = LSAME( SIDE, 'L' ) 118: NOTRAN = LSAME( TRANS, 'N' ) 119: * 120: * NQ is the order of Q 121: * 122: IF( LEFT ) THEN 123: NQ = M 124: ELSE 125: NQ = N 126: END IF 127: IF( .NOT.LEFT .AND. .NOT.LSAME( SIDE, 'R' ) ) THEN 128: INFO = -1 129: ELSE IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS, 'C' ) ) THEN 130: INFO = -2 131: ELSE IF( M.LT.0 ) THEN 132: INFO = -3 133: ELSE IF( N.LT.0 ) THEN 134: INFO = -4 135: ELSE IF( K.LT.0 .OR. K.GT.NQ ) THEN 136: INFO = -5 137: ELSE IF( LDA.LT.MAX( 1, NQ ) ) THEN 138: INFO = -7 139: ELSE IF( LDC.LT.MAX( 1, M ) ) THEN 140: INFO = -10 141: END IF 142: IF( INFO.NE.0 ) THEN 143: CALL XERBLA( 'ZUNM2L', -INFO ) 144: RETURN 145: END IF 146: * 147: * Quick return if possible 148: * 149: IF( M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 ) 150: $ RETURN 151: * 152: IF( ( LEFT .AND. NOTRAN .OR. .NOT.LEFT .AND. .NOT.NOTRAN ) ) THEN 153: I1 = 1 154: I2 = K 155: I3 = 1 156: ELSE 157: I1 = K 158: I2 = 1 159: I3 = -1 160: END IF 161: * 162: IF( LEFT ) THEN 163: NI = N 164: ELSE 165: MI = M 166: END IF 167: * 168: DO 10 I = I1, I2, I3 169: IF( LEFT ) THEN 170: * 171: * H(i) or H(i)' is applied to C(1:m-k+i,1:n) 172: * 173: MI = M - K + I 174: ELSE 175: * 176: * H(i) or H(i)' is applied to C(1:m,1:n-k+i) 177: * 178: NI = N - K + I 179: END IF 180: * 181: * Apply H(i) or H(i)' 182: * 183: IF( NOTRAN ) THEN 184: TAUI = TAU( I ) 185: ELSE 186: TAUI = DCONJG( TAU( I ) ) 187: END IF 188: AII = A( NQ-K+I, I ) 189: A( NQ-K+I, I ) = ONE 190: CALL ZLARF( SIDE, MI, NI, A( 1, I ), 1, TAUI, C, LDC, WORK ) 191: A( NQ-K+I, I ) = AII 192: 10 CONTINUE 193: RETURN 194: * 195: * End of ZUNM2L 196: * 197: END