G J N Brown and D S F Crothers 1994 J. Phys. A: Math. Gen. 27 2923 doi:10.1088/0305-4470/27/8/028
G J N Brown and D S F Crothers
Show affiliationsGiven any complex symmetric non-singular (n*n) matrix S we show that it is always possible to find a (2n-1)*(2n-1) matrix X which is complex symmetric and unitary, and which contains S as its leading minor. We also prove that, of the set of all complex symmetric unitary matrices which contain S as their leading minor, X is the smallest such matrix. We apply this result to the scattering matrix of atomic collision theory to correct a loss of unitarity due to the use of a finite basis set in the solution of a collision problem.
15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.)
Issue 8 (21 April 1994)
G J N Brown and D S F Crothers 1994 J. Phys. A: Math. Gen. 27 2923
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