Abstract
Most readers know from graduate textbooks that linear algebra is a branch of mathematics that deals with vector spaces, matrices, determinants, linear transformations, and systems of linear equations. This chapter explains how to put your hands on numeric packages for linear algebra. First of all, we will offer a description of Java classes designed to construct vectors and matrices. Then we will discuss the usual matrix operations. We will finish this chapter with a description of how to solve linear equations using the libraries provided by the DMelt project.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hicklin J et al, Jama, a Java Matrix Package. http://newcenturycomputers.net/projects/dif.html
Stewart G, Jampack, a Java package for matrix computations. ftp://math.nist.gov/pub/Jampack/Jampack/
Kostyukov V et al, La4J, linear algebra java library. http://la4j.org/
Abeles P, EJML, efficient Java matrix library. http://ejml.org/
The Colt Development Team, The Colt Project. https://dst.lbl.gov/software/colt/
Wendykier P, Nagy J (2010) Parallel colt: a high-performance java library for scientific computing and image processing. ACM Trans. Math. Softw. 1–22. https://sites.google.com/site/piotrwendykier/software/parallelcolt
Braun ML et al, JBLAS, linear algebra for Java. http://jblas.org/
Dongarra J, Downey A, Seymour K, JLAPACK and the F2J project. http://icl.cs.utk.edu/f2j/
The apache common-math library. http://commons.apache.org/proper/commons-math/
SymPy development team, SymPy: Python library for symbolic mathematics. http://www.sympy.org
Bolotin D, Poslavsky S, Redberry, A computer algebra system for algebraic manipulations with tensors. https://poi.apache.org/
Ralston A, Rabinowitz P (2001) A first course in numerical analysis. Dover Publications, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Chekanov, S.V. (2016). Linear Algebra and Equations. In: Numeric Computation and Statistical Data Analysis on the Java Platform. Advanced Information and Knowledge Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-28531-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-28531-3_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-28529-0
Online ISBN: 978-3-319-28531-3
eBook Packages: Computer ScienceComputer Science (R0)