This allows one to replace the Hartree Fock secular equation | H ES | = 0 with a simpler equation | H E | = 0.
2.
An approximation for the wave function of state " i " can be obtained by finding the coefficients \ left \ lbrace c _ j \ right \ rbrace from the corresponding secular equation.
3.
Solving the nonlinear secular equation requires an iterative technique, such as the O ( 1 ) iterations, each of which requires \ Theta ( m ) flops ( for an m-degree rational function ), making the cost of the iterative part of this algorithm \ Theta ( m ^ { 2 } ).
4.
Most of the papers sent to Paris were on astronomical questions, and among these one ought to particularly mention his paper on the Jovian system in 1766, his essay on the problem of three bodies in 1772, his work on the secular equation of the Moon in 1773, and his treatise on cometary perturbations in 1778.
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