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---
:name: cptsv
:md5sum: 51cb8a965fde05d2a1884508d277624f
:category: :subroutine
:arguments:
- n:
:type: integer
:intent: input
- nrhs:
:type: integer
:intent: input
- d:
:type: real
:intent: input/output
:dims:
- n
- e:
:type: complex
:intent: input/output
:dims:
- n-1
- b:
:type: complex
:intent: input/output
:dims:
- ldb
- nrhs
- ldb:
:type: integer
:intent: input
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE CPTSV( N, NRHS, D, E, B, LDB, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* CPTSV computes the solution to a complex system of linear equations\n\
* A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal\n\
* matrix, and X and B are N-by-NRHS matrices.\n\
*\n\
* A is factored as A = L*D*L**H, and the factored form of A is then\n\
* used to solve the system of equations.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* NRHS (input) INTEGER\n\
* The number of right hand sides, i.e., the number of columns\n\
* of the matrix B. NRHS >= 0.\n\
*\n\
* D (input/output) REAL array, dimension (N)\n\
* On entry, the n diagonal elements of the tridiagonal matrix\n\
* A. On exit, the n diagonal elements of the diagonal matrix\n\
* D from the factorization A = L*D*L**H.\n\
*\n\
* E (input/output) COMPLEX array, dimension (N-1)\n\
* On entry, the (n-1) subdiagonal elements of the tridiagonal\n\
* matrix A. On exit, the (n-1) subdiagonal elements of the\n\
* unit bidiagonal factor L from the L*D*L**H factorization of\n\
* A. E can also be regarded as the superdiagonal of the unit\n\
* bidiagonal factor U from the U**H*D*U factorization of A.\n\
*\n\
* B (input/output) COMPLEX array, dimension (LDB,NRHS)\n\
* On entry, the N-by-NRHS right hand side matrix B.\n\
* On exit, if INFO = 0, the N-by-NRHS solution matrix X.\n\
*\n\
* LDB (input) INTEGER\n\
* The leading dimension of the array B. LDB >= max(1,N).\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit\n\
* < 0: if INFO = -i, the i-th argument had an illegal value\n\
* > 0: if INFO = i, the leading minor of order i is not\n\
* positive definite, and the solution has not been\n\
* computed. The factorization has not been completed\n\
* unless i = N.\n\
*\n\n\
* =====================================================================\n\
*\n\
* .. External Subroutines ..\n EXTERNAL CPTTRF, CPTTRS, XERBLA\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC MAX\n\
* ..\n"
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