# ARPACK DOCUMENTATION PDF

The Implicitly Restarted Arnoldi Method in ARPACK 44 .. In addition to this user ‘s guide, complete documentation of usage, data re-. Introduction. ARPACK is a collection of Fortran77 subroutines designed to solve large scale eigenvalue problems. About. ARPACK is a collection of Fortran77 subroutines designed to solve large- scale eigenvalue problems. Versions and Availability. ▷ Display Softenv Keys.

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The functions ChangeMultBx and ChangeMultOPx should not be used either since doccumentation matrix-vector product functions are provided by the interface object. If A is real, the matrix B is required to be real symmetric positive semi-definite, except in regular mode where it should be positive definite.

That is, best results require arpaack user to remove keywords in the reverse order in which they were added. For best results, the data type of M should be the same as that of A. Module is currently available only on SuperMIC.

### ARPACK-NG – Documentation

The currently converged eigenvalues and eigenvectors can be found as eigenvalues and eigenvectors attributes of the exception object. The list will look something like: H, depending on which one is more efficient.

The user just has to adapt his program by replacing these names by his own ones. Thus, in our program, once matrices AB and vector u have been defined see Remark 1and assuming A is real symmetric positive semi-definite and B is symmetric, we’ll have to write something like the following: The member function GetN is better to be used to determine the dimension of the problem.

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M must represent a real, symmetric matrix if A is real, and must represent a complex, hermitian matrix if A is complex.

Modules is a utility which helps users manage the complex business of setting up their shell environment in the face of potentially conflicting application versions and libraries. Modules Modules is a utility which helps users manage the complex business of setting up their shell environment in the face of potentially conflicting application versions and libraries.

Managing Modules Besides availthere are other basic module commands to use for documentstion the environment. The listing will look something like:. It is handy to test out individual keys, but can lead to trouble if changing multiple keys. See also the warning written in the previous section Warning.

SoftEnv arpsck a utility that is supposed to help users manage complex user environments with potentially conflicting application versions and libraries. In the documentation, the description of the constructor in shift and invert and buckling modes is: Find k eigenvalues and eigenvectors of the real symmetric square matrix or complex hermitian matrix A.

For instance, ff one wants to add the Amber Molecular Dynamics package into their environment, the end of the.

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For the computation of the eigenvalues, it is only used to carry the numbering structure of the unknowns. Default Setup When a user logs in, the system looks for a file named. The command softenv will provide a list of available packages.

Viewing Available Documentaton The command softenv will provide a list of arpxck packages. Notice that B may still be real and symmetric.

This argument applies only for real-valued A and sigma! List modules loaded in the environment avail. If A is complex, the matrix B is required to be hermitian positive semi-definite, except in regular mode where it should be positive definite.

## Introduction

It is typically the right-hand side vector but it may be any vector term compatible with the problem and defined on the same domain. The hierarchy of the classes is the following: If sigma is None, M is positive definite If sigma is specified, M is positive semi-definite. Specify strategy to use for shift-invert mode. This arpavk contains module commands to set up the initial shell environment.

Starting vector for iteration, of length min A. Describe listed modules The -h option to module will list all available commands.