= extendmatrix

* http://github.com/clbustos/extendmatrix

== DESCRIPTION:

The project consists of some enhancements to the Ruby "Matrix" module and includes: LU and QR (Householder, Givens, Gram Schmidt, Hessenberg) decompositions, bidiagonalization, eigenvalue and eigenvector calculations.

Include some aditional code to obtains marginal for rows and columns.

Original code from http://rubyforge.org/projects/matrix/ , done by Cosmin Bonchis as a Google Summer of Code 2007 project for Ruby Central Inc.

Gem, github repository and current version manteined by Claudio Bustos.

== SYNOPSIS:

require 'extendmatrix'

v = Vector[1, 2, 3, 4]

v.magnitude # => 5.47722557505166

v.normalize # => Vector[0.182574185835055, 0.365148371670111, 0.547722557505166, 0.730296743340221]

# Backport from Ruby 1.9.2+

m = Matrix.build(4, 3){|i, j| i * 3 + j}

# => Matrix[[0, 1, 2], [3, 4, 5], [6, 7, 8], [9, 10, 11]]

# You could modify the matrix

m = Matrix.I(3)

m[0,1]=m[1,0]=0.5

m[0,2]=m[2,0]=0.7

m[1,2]=m[2,1]=0.9

m # => Matrix[[1, 0.5, 0.7], [0.5, 1, 0.9], [0.7, 0.9, 1]]

# Eigenvalues and EigenVectors. PCA at sight :)

m.eigenvaluesJacobi => Vector[0.523942339006665, 0.0632833995384682, 2.41277426145487]

m.cJacobiV

# => Matrix[[0.818814082563014, 0.249617871497675, 0.516947208547894], [-0.550168858227442, 0.598307531004925, 0.58253096551128], [-0.163883268313767, -0.761392813580323, 0.62723461144538]]

== REQUIREMENTS:

* Only Ruby

== INSTALL:

* sudo gem install matrix-extensions

== LICENSE:

Copyright [2007] Cosmin Bonchis

Copyright [2010] Claudio Bustos

Licensed under the Apache License, Version 2.0 (the "License"); you may not use

this file except in compliance with the License. You may obtain a copy of the

License at

http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software distributed

under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR

CONDITIONS OF ANY KIND, either express or implied. See the License for the

specific language governing permissions and limitations under the License.

See LICENSE.txt for more details

* http://github.com/clbustos/extendmatrix

== DESCRIPTION:

The project consists of some enhancements to the Ruby "Matrix" module and includes: LU and QR (Householder, Givens, Gram Schmidt, Hessenberg) decompositions, bidiagonalization, eigenvalue and eigenvector calculations.

Include some aditional code to obtains marginal for rows and columns.

Original code from http://rubyforge.org/projects/matrix/ , done by Cosmin Bonchis as a Google Summer of Code 2007 project for Ruby Central Inc.

Gem, github repository and current version manteined by Claudio Bustos.

== SYNOPSIS:

require 'extendmatrix'

v = Vector[1, 2, 3, 4]

v.magnitude # => 5.47722557505166

v.normalize # => Vector[0.182574185835055, 0.365148371670111, 0.547722557505166, 0.730296743340221]

# Backport from Ruby 1.9.2+

m = Matrix.build(4, 3){|i, j| i * 3 + j}

# => Matrix[[0, 1, 2], [3, 4, 5], [6, 7, 8], [9, 10, 11]]

# You could modify the matrix

m = Matrix.I(3)

m[0,1]=m[1,0]=0.5

m[0,2]=m[2,0]=0.7

m[1,2]=m[2,1]=0.9

m # => Matrix[[1, 0.5, 0.7], [0.5, 1, 0.9], [0.7, 0.9, 1]]

# Eigenvalues and EigenVectors. PCA at sight :)

m.eigenvaluesJacobi => Vector[0.523942339006665, 0.0632833995384682, 2.41277426145487]

m.cJacobiV

# => Matrix[[0.818814082563014, 0.249617871497675, 0.516947208547894], [-0.550168858227442, 0.598307531004925, 0.58253096551128], [-0.163883268313767, -0.761392813580323, 0.62723461144538]]

== REQUIREMENTS:

* Only Ruby

== INSTALL:

* sudo gem install matrix-extensions

== LICENSE:

Copyright [2007] Cosmin Bonchis

Copyright [2010] Claudio Bustos

Licensed under the Apache License, Version 2.0 (the "License"); you may not use

this file except in compliance with the License. You may obtain a copy of the

License at

http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software distributed

under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR

CONDITIONS OF ANY KIND, either express or implied. See the License for the

specific language governing permissions and limitations under the License.

See LICENSE.txt for more details