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DLARZ(l)) DLARZ(l)NAMEDLARZ - applie a real elementary reflector H to a real M-by-N matrix C, from either the left or the rightSYNOPSISSUBROUTINE DLARZ( SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK ) CHARACTER SIDE INTEGER INCV, L, LDC, M, N DOUBLE PRECISION TAU DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * )PURPOSEDLARZ applies a real elementary reflector H to a real M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v' where tau is a real scalar and v is a real vector. If tau = 0, then H is taken to be the unit matrix. H is a product of k elementary reflectors as returned by DTZRZF.ARGUMENTSSIDE (input) CHARACTER*1 = 'L': form H * C = 'R': form C * H M (input) INTEGER The number of rows of the matrix C. N (input) INTEGER The number of columns of the matrix C. L (input) INTEGER The number of entries of the vector V containing the meaningful part of the House- holder vectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. V (input) DOUBLE PRECISION array, dimension (1+(L-1)*abs(INCV)) The vector v in the representation of H as returned by DTZRZF. V is not used if TAU = 0. INCV (input) INTEGER The increment between elements of v. INCV <> 0. TAU (input) DOUBLE PRECISION The value tau in the representation of H. C (input/output) DOUBLE PRECISION array, dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'. LDC (input) INTEGER The leading dimension of the array C. LDC >= max(1,M). WORK (workspace) DOUBLE PRECISION array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R'FURTHER DETAILSBased on contributions by A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USALAPACK version 3.015 June 2000 DLARZ(l)

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