Skip to main content Accessibility help
Internet Explorer 11 is being discontinued by Microsoft in August 2021. If you have difficulties viewing the site on Internet Explorer 11 we recommend using a different browser such as Microsoft Edge, Google Chrome, Apple Safari or Mozilla Firefox.

Chapter 2: Solving Nonlinear Equations

Chapter 2: Solving Nonlinear Equations

pp. 9-15

Authors

, Carnegie Mellon University, Pennsylvania
Resources available Unlock the full potential of this textbook with additional resources. There are free resources and Instructor restricted resources available for this textbook. Explore resources
  • Add bookmark
  • Cite
  • Share

Extract

This chapter first intruduces the idea of process modeling, both as equation oriented and as sequential modular calculations. It then poses the analysis of process flowsheets as a system of nonlinear equations. Newton's method is first introduced for solving the systems of nonlinear equations, highlighting some of its major theoretical properties. Next, the concept of quasi-Newton methods is introduced to approximate the Jacobian matrix in Newton's method. The specific quasi-Newton method presented is Broyden's method for which its derivation is presented.

Keywords

  • nonlinear equations
  • Netwton's method
  • quasi-Newton method

About the book

Access options

Review the options below to login to check your access.

Purchase options

eTextbook
US$111.00
Hardback
US$111.00

Have an access code?

To redeem an access code, please log in with your personal login.

If you believe you should have access to this content, please contact your institutional librarian or consult our FAQ page for further information about accessing our content.

Also available to purchase from these educational ebook suppliers