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- Title
Computing all the roots of ∑a<sub>i</sub>/λ-c<sub>i</sub> = 1 equations by a matrix-based approach.
- Authors
Vacahern, Miguel; Monroy-Loperena, Rosendo
- Abstract
A useful procedure for finding all the roots of the type of equation indicated in the title, typically used in vapor-liquid separations, is presented. The proposed procedure is the result of a matrix-based analysis to generate a Standard Eigenvalue Problem. The eigenvalues of the resulting matrix system are exactly the roots of the equation indicated in the title. Numerical experiments are presented to show the goodness of the proposed procedure.
- Subjects
EIGENVALUES; NUMERICAL analysis; VAPOR-liquid separators; MATRICES (Mathematics); NUMERICAL solutions to equations; ANALYTICAL chemistry
- Publication
Chemical Engineering Research & Design: Transactions of the Institution of Chemical Engineers Part A, 2012, Vol 90, Issue 11, p1697
- ISSN
0263-8762
- Publication type
Article
- DOI
10.1016/j.cherd.2012.03.013