CSPTRS(1) LAPACK routine (version 3.2) CSPTRS(1)[top]NAMECSPTRS - solves a system of linear equations A*X = B with a complex symmetric matrix A stored in packed format using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRFSYNOPSISSUBROUTINE CSPTRS( UPLO, N, NRHS, AP, IPIV, B, LDB, INFO ) CHARACTER UPLO INTEGER INFO, LDB, N, NRHS INTEGER IPIV( * ) COMPLEX AP( * ), B( LDB, * )PURPOSECSPTRS solves a system of linear equations A*X = B with a complex sym‐ metric matrix A stored in packed format using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF.ARGUMENTSUPLO (input) CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangu‐ lar, form is A = U*D*U**T; = 'L': Lower triangular, form is A = L*D*L**T. N (input) INTEGER The order of the matrix A. N >= 0. NRHS (input) INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. AP (input) COMPLEX array, dimension (N*(N+1)/2) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSPTRF, stored as a packed triangular matrix. IPIV (input) INTEGER array, dimension (N) Details of the interchanges and the block structure of D as determined by CSPTRF. B (input/output) COMPLEX array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB (input) INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO =, the i-th argument had an illegal value LAPACK routine (version 3.2) November 2008 CSPTRS(1)-i

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