# Blocked Algebraic Objects

Partitioned Vectors & Dual Vectors

The dynaml.algebra package contains a number of classes and utilities for constructing blocked linear algebra objects.

DynaML makes extensive use of the breeze linear algebra library for matrix-vector operations. Breeze is an attractive option because it is easy to use and has the ability to use low level implementations such as LAPACK and BLAS for performance speed-up.

If we are working with linear algebra objects which are large in size as compared to the available JVM memory, it may be necessary to not construct the entire vector in an eager fashion.

In the Scala language, there are lazy data structures, which are not computed unless they are required in further computation. The dynaml.algebra package leverages lazy data structures to create blocked vectors and matrices. Each partition/block of a blocked object is a breeze vector or matrix.

The proceeding pages give the user a glimpse of how to use and manipulate objects of the algebra package.