Linear Algebra Operations

Contents

• Linear Algebra Utility Functions
• Related Functions

Warning

This MADlib module is still in early stage development. There may be some issues that will be addressed in a future version. Interface and implementation is subject to change.

The linalg module consists of useful utility functions for basic linear algebra operations. Several of these functions can be used while implementing new algorithms.

Refer to the linalg.sql_in file for documentation on each of the utility functions.

Linear Algebra Utility Functions

norm1()	1-norm of a vector.
norm2()	2-norm of a vector.
dist_norm1()	1-norm of the difference between two vectors.
dist_norm2()	2-norm of the difference between two vectors.
squared_dist_norm2()	Squared 2-norm of the difference between two vectors.
dist_angle()	Angle between two vectors.
dist_tanimoto()	Tanimoto distance between two vectors.
closest_column()	Given matrix \( M \) and vector \( \vec x \) compute the column of \( M \) that is closest to \( \vec x \).
closest_columns()	Given matrix \( M \) and vector \( \vec x \) compute the columns of \( M \) that are closest to \( \vec x \).
avg()	Compute the average of vectors.
normalized_avg()	Compute the normalized average of vectors.
matrix_agg()	Combine vectors to a matrix.
matrix_column()	Return the column of a matrix.

Related Topics

File linalg.sql_in documenting the SQL functions.