It takes the average reader 18 hours and 42 minutes to read 23 European Symposium on Computer Aided Process Engineering by Danan S. Wicaksono
Assuming a reading speed of 250 words per minute. Learn more
Only a few solvers are currently available to solve eigenvalue optimization problems. In case of nonlinear objective and/or constraints, the capabilities of existing methods are still limited. This contribution addresses two classes of eigenvalue optimization problems: the maximization (minimization) of the smallest (largest) eigenvalue of a real symmetric matrix and optimization subject to inequalities constraining the real parts of all eigenvalues of a real square matrix. This contribution considers the reformulation of such problems into optimization problems subject to the positive definiteness of a suitable matrix to enable the use of efficient and robust off-the-shelf solvers. This contribution revisits the utilization of Sylvester's criterion suggested previously and proposes to alternatively employ Cholesky decomposition to compel the constraints on positive definiteness. The methodology is implemented in an integrated symbolic-numeric computational environment. A comparative computational study demonstrates that the latter performs better than the former, at least in the set of examples studied.
23 European Symposium on Computer Aided Process Engineering by Danan S. Wicaksono is 1,088 pages long, and a total of 280,704 words.
This makes it 367% the length of the average book. It also has 343% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 25 hours and 33 minutes to read 23 European Symposium on Computer Aided Process Engineering aloud.
23 European Symposium on Computer Aided Process Engineering is suitable for students ages 12 and up.
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