By Topic

Circuit design by minimization using the Hessian matrix

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)

The Hessian matrix of the objective function in the problem of circuit design by minimization can be determined explicitly and its use in a second-order minimization process is now feasible and is presented. The process begins with the steepest descent method, followed by a generalized Newton method. At each iteration, the incremental step as prescribed by the respective method is taken unless the function is locally increasing, in which case, the direction is reversed. If the function has increased at a trial point, a cubic interpolation between the current point and that point is performed and the next point is taken to be at the minimum of the cubic. To ensure that the cubic approximation is reasonable, the step size is controlled. Examples are given and the results are compared with those obtained by the gradient method of Fletcher and Powell.

Published in:

IEEE Transactions on Circuits and Systems  (Volume:21 ,  Issue: 5 )