Linear Algebra and the C Language

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Linear Algebra and the C Language

This book provides a library for real matrices in C language.


The aim of this book is to provide real matrices in C language, to familiarize yourself with linear algebra.

Start by downloading the library (2 Hours!).

The next step is to study the properties and applications, once the entire library has been downloaded.

To successfully work through this book, it is necessary to be familiar with the concepts of Linear Algebra presented and have a good foundation in C Programming.

Contents

Properties and Applications: (The library see below)

Utilities

Working with matrices (M)

Basic operations on matrices (M)

Mathematic Applications: (M)

Graphics Applications: (M)

Determinant (Det)

Graphics Applications: (Det)

Mathematic Applications: (Det)

Gauss-Jordan Total Pivoting (TP)

Applications: (TP)

Graphics Applications: (TP)

Mathematic Applications: (TP)

Gauss-Jordan Partial Pivoting (PP)

Applications: (PP)

Mathematic Applications: (PP)

Dot product (Dp)

Orthonormal matrices (Q)

QR Decomposition (QR)

Applications: (QR)

Graphics Applications: (QR)

Eigenvalues Eigenvector (eigen)

Mathematic Applications: (eigen)

Graphics Applications: (eigen)

The singular values

SVD: Rn ≥ Cn

SVD: Cn > Rn

Pseudo-Inverse

Applications: (Pseudo-Inverse)

Graphics Applications: (Pseudo-Inverse)

The library

The library's construction is not standard. You can compile the C file directly. The functions are in the h files.

  • To access to the library, be sure to use #include "v_a.h" in the C source files.

Utilities

Matrices

Determinant

Gauss-Jordan

Dot product

Octave. Gnuplot

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