Book Image

Scientific Computing with Python - Second Edition

By : Claus Führer, Jan Erik Solem, Olivier Verdier
Book Image

Scientific Computing with Python - Second Edition

By: Claus Führer, Jan Erik Solem, Olivier Verdier

Overview of this book

Python has tremendous potential within the scientific computing domain. This updated edition of Scientific Computing with Python features new chapters on graphical user interfaces, efficient data processing, and parallel computing to help you perform mathematical and scientific computing efficiently using Python. This book will help you to explore new Python syntax features and create different models using scientific computing principles. The book presents Python alongside mathematical applications and demonstrates how to apply Python concepts in computing with the help of examples involving Python 3.8. You'll use pandas for basic data analysis to understand the modern needs of scientific computing, and cover data module improvements and built-in features. You'll also explore numerical computation modules such as NumPy and SciPy, which enable fast access to highly efficient numerical algorithms. By learning to use the plotting module Matplotlib, you will be able to represent your computational results in talks and publications. A special chapter is devoted to SymPy, a tool for bridging symbolic and numerical computations. By the end of this Python book, you'll have gained a solid understanding of task automation and how to implement and test mathematical algorithms within the realm of scientific computing.
Table of Contents (23 chapters)
20
About Packt
22
References

5.6.2 Generating sparse matrices

The NumPy commands eye, identity, diag, and rand have their sparse counterparts. They take an additional argument; it specifies the sparse matrix format of the resulting matrix.

The following commands generate the identity matrix but in different sparse matrix formats:

import scipy.sparse as sp
sp.eye(20,20,format = 'lil') 
sp.spdiags(ones((20,)),0,20,20, format = 'csr') 
sp.identity(20,format ='csc')

The command sp.rand takes an additional argument describing the density of the generated random matrix. A dense matrix has density 1 while a zero matrix has density 0:

import scipy.sparse as sp 
AS=sp.rand(20,200,density=0.1,format='csr')
AS.nnz # returns 400

There is no direct correspondence to the NumPy command zeroes. Matrices completely filled with zeros are generated by instantiating the corresponding type with the shape parameters as constructor parameters...