pm_matrixClass::unitTriang_type Type Reference

This is a concrete derived type whose instances are exclusively used to signify the unit-triangular class of a given matrix within an interface of a procedure of the ParaMonte library.
More...

Inheritance diagram for pm_matrixClass::unitTriang_type:

Collaboration diagram for pm_matrixClass::unitTriang_type:

Detailed Description

This is a concrete derived type whose instances are exclusively used to signify the unit-triangular class of a given matrix within an interface of a procedure of the ParaMonte library.

Objects instantiated from this derived type are exclusively used to differentiate the procedures within the various generic interfaces of the ParaMonte library.
As such, this concrete derived type does not contain any attributes.

An atomic (upper or lower) triangular matrix is a special form of unitriangular matrix, where all of the off-diagonal elements are zero, except for the entries in a single column or row.
Such a matrix is also called a Frobenius matrix or Gauss matrix, or Gauss transformation matrix.

Note

This concrete derived type is not meant to be directly accessed by the end users.
Instead, the end users should use the specific object parameter instance of this derived type (e.g., unitTriang) as directed by the documentation of the specific procedure they intend to use.

See also

genrecmat
posdefmat
symmetric
hermitian
triang_type
posdefmat_type
symmetric_type
hermitian_type
upperDiag_type
lowerDiag_type
upperZero_type
lowerZero_type
upperUnit_type
lowerUnit_type
unitTriang_type
atomicTriang_type
frobenius_type
genrecmat_type
matrix_type
gauss_type

Final Remarks ⛓

---

If you believe this algorithm or its documentation can be improved, we appreciate your contribution and help to edit this page's documentation and source file on GitHub.
For details on the naming abbreviations, see this page.
For details on the naming conventions, see this page.
This software is distributed under the MIT license with additional terms outlined below.

1. If you use any parts or concepts from this library to any extent, please acknowledge the usage by citing the relevant publications of the ParaMonte library.
   
2. If you regenerate any parts/ideas from this library in a programming environment other than those currently supported by this ParaMonte library (i.e., other than C, C++, Fortran, MATLAB, Python, R), please also ask the end users to cite this original ParaMonte library.
   

This software is available to the public under a highly permissive license.
Help us justify its continued development and maintenance by acknowledging its benefit to society, distributing it, and contributing to it.

Copyright

Computational Data Science Lab

Author:

Amir Shahmoradi, September 1, 2017, 12:00 AM, Institute for Computational Engineering and Sciences (ICES), The University of Texas Austin

Definition at line 1683 of file pm_matrixClass.F90.

---

The documentation for this type was generated from the following file:

• src/fortran/main/pm_matrixClass.F90