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Author: Nelson-numerical-software

en/slicot/slicot_ab01od.md

@@ -20,8 +20,8 @@ Staircase form for multi-input systems using orthogonal state and input transfor
 
 ## Output argument
 
-- A_OUT - On exit, the leading N-by-N part of this array contains the transformed state transition matrix U' _ A _ U. The leading NCONT-by-NCONT part contains the upper block Hessenberg state matrix Acont in Ac, given by U' _ A _ U, of a controllable realization for the original system. The elements below the first block-subdiagonal are set to zero. If STAGES ~='F', the subdiagonal blocks of A are triangularized by RQ factorization, and the annihilated elements are explicitly zeroed.
-- B_OUT - On exit with STAGES = 'F', the leading N-by-M part of this array contains the transformed input matrix U' _ B, with all elements but the first block set to zero. On exit with STAGES ~= 'F', the leading N-by-M part of this array contains the transformed input matrix U' _ B \* V, with all elements but the first block set to zero and the first block in upper triangular form.
+- A*OUT - On exit, the leading N-by-N part of this array contains the transformed state transition matrix U' * A _ U. The leading NCONT-by-NCONT part contains the upper block Hessenberg state matrix Acont in Ac, given by U' _ A \_ U, of a controllable realization for the original system. The elements below the first block-subdiagonal are set to zero. If STAGES ~='F', the subdiagonal blocks of A are triangularized by RQ factorization, and the annihilated elements are explicitly zeroed.
+- B*OUT - On exit with STAGES = 'F', the leading N-by-M part of this array contains the transformed input matrix U' * B, with all elements but the first block set to zero. On exit with STAGES ~= 'F', the leading N-by-M part of this array contains the transformed input matrix U' \_ B \* V, with all elements but the first block set to zero and the first block in upper triangular form.
 - U_OUT - if JOBU = 'I', the leading N-by-N part of this array contains the transformation matrix U that performed the specified reduction. If JOBU = 'N', the array U is not referenced and can be supplied as a dummy array.
 - V - If JOBV = 'I', then the leading M-by-M part of this array contains the transformation matrix V.
 - NCONT_OUT - NCONT_OUT is input only if STAGES = 'B'.