Developing Classes for Linear Algebra Calculations

  • Joe Pitt-Francis
  • Jonathan Whiteley
Part of the Undergraduate Topics in Computer Science book series (UTICS)


Linear algebra calculations—i.e. operations on vectors and matrices—are at the heart of many scientific computing application codes. In this chapter we will apply the ideas introduced earlier in this book to begin to develop a collection of classes that allow us to perform these calculations. We will describe the design of a class of vectors in the body of this chapter. Appropriate constructors and destructors will ensure that memory is managed correctly, and operator overloading will allow operations between vectors and matrices (such as addition, subtraction and multiplication) to be coded in a natural manner. The exercises at the end of the chapter will focus on developing this class further, developing a companion class of matrices, and developing a linear system class that allows us to solve matrix equations.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.University of OxfordOxfordUK

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