Efficient solution of linear systems arising in the linearization of the VTN-phase stability problem using the Sherman-Morrison iterations

• Published in: Fluid phase equilibria Vol. 527; p. 112832
• Main Authors: Smejkal, Tomáš, Mikyška, Jiří
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.01.2021
• Subjects: Newton-Raphson method; Optimization; Phase stability testing; Sherman-Morrison iterations; TPD function; VTN specification; Sherman-Morrison iterations; VTN specification; TPD function; Newton-Raphson method; Optimization; Phase stability testing

We derive a simple procedure for solving systems of linear equations arising from the linearization of the VTN-phase stability problem. Using the structure of the Hessian matrix, the solution is obtained by sequential usage of the Sherman-Morrison formula. The great advantage of the method is that t...