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---
:name: cunmtr
:md5sum: 11d3fb40772ec5f0829d5a084bbba746
:category: :subroutine
:arguments:
- side:
:type: char
:intent: input
- uplo:
:type: char
:intent: input
- trans:
:type: char
:intent: input
- m:
:type: integer
:intent: input
- n:
:type: integer
:intent: input
- a:
:type: complex
:intent: input
:dims:
- lda
- m
- lda:
:type: integer
:intent: input
- tau:
:type: complex
:intent: input
:dims:
- m-1
- c:
:type: complex
:intent: input/output
:dims:
- ldc
- n
- ldc:
:type: integer
:intent: input
- work:
:type: complex
:intent: output
:dims:
- MAX(1,lwork)
- lwork:
:type: integer
:intent: input
:option: true
:default: "lsame_(&side,\"L\") ? n : lsame_(&side,\"R\") ? m : 0"
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE CUNMTR( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* CUNMTR overwrites the general complex M-by-N matrix C with\n\
*\n\
* SIDE = 'L' SIDE = 'R'\n\
* TRANS = 'N': Q * C C * Q\n\
* TRANS = 'C': Q**H * C C * Q**H\n\
*\n\
* where Q is a complex unitary matrix of order nq, with nq = m if\n\
* SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of\n\
* nq-1 elementary reflectors, as returned by CHETRD:\n\
*\n\
* if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);\n\
*\n\
* if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* SIDE (input) CHARACTER*1\n\
* = 'L': apply Q or Q**H from the Left;\n\
* = 'R': apply Q or Q**H from the Right.\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* = 'U': Upper triangle of A contains elementary reflectors\n\
* from CHETRD;\n\
* = 'L': Lower triangle of A contains elementary reflectors\n\
* from CHETRD.\n\
*\n\
* TRANS (input) CHARACTER*1\n\
* = 'N': No transpose, apply Q;\n\
* = 'C': Conjugate transpose, apply Q**H.\n\
*\n\
* M (input) INTEGER\n\
* The number of rows of the matrix C. M >= 0.\n\
*\n\
* N (input) INTEGER\n\
* The number of columns of the matrix C. N >= 0.\n\
*\n\
* A (input) COMPLEX array, dimension\n\
* (LDA,M) if SIDE = 'L'\n\
* (LDA,N) if SIDE = 'R'\n\
* The vectors which define the elementary reflectors, as\n\
* returned by CHETRD.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A.\n\
* LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'.\n\
*\n\
* TAU (input) COMPLEX array, dimension\n\
* (M-1) if SIDE = 'L'\n\
* (N-1) if SIDE = 'R'\n\
* TAU(i) must contain the scalar factor of the elementary\n\
* reflector H(i), as returned by CHETRD.\n\
*\n\
* C (input/output) COMPLEX array, dimension (LDC,N)\n\
* On entry, the M-by-N matrix C.\n\
* On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.\n\
*\n\
* LDC (input) INTEGER\n\
* The leading dimension of the array C. LDC >= max(1,M).\n\
*\n\
* WORK (workspace/output) COMPLEX array, dimension (MAX(1,LWORK))\n\
* On exit, if INFO = 0, WORK(1) returns the optimal LWORK.\n\
*\n\
* LWORK (input) INTEGER\n\
* The dimension of the array WORK.\n\
* If SIDE = 'L', LWORK >= max(1,N);\n\
* if SIDE = 'R', LWORK >= max(1,M).\n\
* For optimum performance LWORK >= N*NB if SIDE = 'L', and\n\
* LWORK >=M*NB if SIDE = 'R', where NB is the optimal\n\
* blocksize.\n\
*\n\
* If LWORK = -1, then a workspace query is assumed; the routine\n\
* only calculates the optimal size of the WORK array, returns\n\
* this value as the first entry of the WORK array, and no error\n\
* message related to LWORK is issued by XERBLA.\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit\n\
* < 0: if INFO = -i, the i-th argument had an illegal value\n\
*\n\n\
* =====================================================================\n\
*\n\
* .. Local Scalars ..\n LOGICAL LEFT, LQUERY, UPPER\n INTEGER I1, I2, IINFO, LWKOPT, MI, NB, NI, NQ, NW\n\
* ..\n\
* .. External Functions ..\n LOGICAL LSAME\n INTEGER ILAENV\n EXTERNAL ILAENV, LSAME\n\
* ..\n\
* .. External Subroutines ..\n EXTERNAL CUNMQL, CUNMQR, XERBLA\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC MAX\n\
* ..\n"
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