PowerfulMaxEigenpair

PowerfulMaxEigenpair-package

The PowerfulMaxEigenpair package provides some auxillary functions and
five categories of important functions:
<code><a rd-options="" href="/link/tridiag?package=PowerfulMaxEigenpair&version=0.1.1" data-mini-rdoc="PowerfulMaxEigenpair::tridiag">tridiag</a></code>, <code><a rd-options="" href="/link/thomas.tri.sol?package=PowerfulMaxEigenpair&version=0.1.1" data-mini-rdoc="PowerfulMaxEigenpair::thomas.tri.sol">thomas.tri.sol</a></code>, 
<code><a rd-options="" href="/link/powerful.maxeig.tri?package=PowerfulMaxEigenpair&version=0.1.1" data-mini-rdoc="PowerfulMaxEigenpair::powerful.maxeig.tri">powerful.maxeig.tri</a></code> and <code><a rd-options="" href="/link/powerful.seceig.tri?package=PowerfulMaxEigenpair&version=0.1.1" data-mini-rdoc="PowerfulMaxEigenpair::powerful.seceig.tri">powerful.seceig.tri</a></code>.

An implementation for using powerful algorithm to compute the
maximal eigenpair of Hermitizable tridiagonal matrices in R. It
provides two algorithms to find the maximal and the next to maximal
eigenpairs under the tridiagonal matrix. Besides, it also provides
two auxiliary algorithms to generate tridiagonal matrix and solve
the linear equation by Thomas algorithm. Several examples are included
in the vignettes to illustrate the usage of the functions.

Xiaojun Mao

Powerful Algorithm for Maximal Eigenpair

PowerfulMaxEigenpair function

<code><a rd-options="" href="/link/tridiag?package=PowerfulMaxEigenpair&version=0.1.1" data-mini-rdoc="PowerfulMaxEigenpair::tridiag">tridiag</a></code>: generate tridiagonal matrix Q based on three input vectors.<code><a rd-options="" href="/link/thomas.tri.sol?package=PowerfulMaxEigenpair&version=0.1.1" data-mini-rdoc="PowerfulMaxEigenpair::thomas.tri.sol">thomas.tri.sol</a></code>: construct the solution of linear equation (-Q-zI)w=v.<code><a rd-options="" href="/link/powerful.maxeig.tri?package=PowerfulMaxEigenpair&version=0.1.1" data-mini-rdoc="PowerfulMaxEigenpair::powerful.maxeig.tri">powerful.maxeig.tri</a></code>: calculate the maximal eigenpair for the tridiagonal matrix by
Thomas algorithm.<code><a rd-options="" href="/link/powerful.seceig.tri?package=PowerfulMaxEigenpair&version=0.1.1" data-mini-rdoc="PowerfulMaxEigenpair::powerful.seceig.tri">powerful.seceig.tri</a></code>: calculate next to the maximal eigenpair for the tridiagonal matrix by
Thomas algorithm.

PowerfulMaxEigenpair functions

The PowerfulMaxEigenpair package provides some auxillary functions and
five categories of important functions:
<code><a rd-options='' href='tridiag'>tridiag</a></code>, <code><a rd-options='' href='thomas.tri.sol'>thomas.tri.sol</a></code>, 
<code><a rd-options='' href='powerful.maxeig.tri'>powerful.maxeig.tri</a></code> and <code><a rd-options='' href='powerful.seceig.tri'>powerful.seceig.tri</a></code>.

PowerfulMaxEigenpair: PowerfulMaxEigenpair: A package for computating the maximal eigenpair for a matrix.

Description

Arguments

PowerfulMaxEigenpair functions