IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-08226-9_2.html
   My bibliography  Save this book chapter

Solution of Linear Equations

In: Computational Methods in Engineering

Author

Listed:
  • S. P. Venkateshan

    (Indian Institute of Technology Madras, Department of Mechanical Engineering)

  • Prasanna Swaminathan

    (Universite Sorbonne Paris Nord, Charge de recherche 2)

Abstract

Linear equations are encountered in all branches of engineering and hence have received much attention. Geometric applications include the determination of the equation of a plane that passes through three non-collinear points, determination of the point of intersection of three non-parallel planes. Engineering applications are to be found in di verse areas such as analysis of electrical networks, conduction of heat in solids, solution of partial differential equations by finite difference and finite element methods. When the number of equations is small solution may be obtained by elementary methods. For example, two or three equations may be solved easily by the use of Cramer’s rule. When the number of equations become larger Cramer’s rule is cumbersome and one of several alternate methods may be used. The present chapter considers some elementary cases amenable to traditional methods followed by more complex applications that require advanced techniques.

Suggested Citation

  • S. P. Venkateshan & Prasanna Swaminathan, 2023. "Solution of Linear Equations," Springer Books, in: Computational Methods in Engineering, chapter 0, pages 19-109, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-08226-9_2
    DOI: 10.1007/978-3-031-08226-9_2
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-031-08226-9_2. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.