Metadata-Version: 2.1
Name: TpTnOsc
Version: 1.1
Summary: Tools for analyzing TP, TN and OSC matrices
Home-page: https://github.com/yoramzarai/TpTnOsc
Author: Yoram Zarai
Author-email: yoram.zarai@gmail.com
License: MIT
Description: # TpTnOsc
        A Python package for analyzing totally positive (TP), totally non-negative (TN), and oscillatory (OSC) matrices.
        
        The tool contains many functions and classes that can perform the following:
        * compute matrix minors and multiplicative compound matrices
        * compute and display the SEB factorization of an Invertible TN (I-TN) matrix
        * test if a matrix is TP, TN, I-TN, or OSC
        * compute the number of (cyclic and non-cyclic) sign variations in a vector
        * compute the exponent of an oscillatory matrix
        * compute and display families of vertex-disjoint paths corresponding to lower-left and upper-right corner minors of oscillatory matrices
        
        See [notebook](https://github.com/yoramzarai/TpTnOsc/blob/master/examples/osc_exp_examples.ipynb) for details and examples.
        
        ## Modules
        - utils.py contains several functions related to the number of sign variations in a vector, multiplicative compound matrices, SEB factorization, planar networks and other TP/TN/OSC matrices related functions.
        - osc_exp.py contains the functions and classes to compute the exponent of an oscillatory matrix and the corresponding families of vertex-disjoint paths.
        
        
        ## Examples
        - osc_exp_examples.ipynb contains examples of using the triangle graph (derived from the planar networks of an SEB factorization) to deduce the exponent of an oscillatory matrix ![A](https://render.githubusercontent.com/render/math?math=A), and to compute the families of vertex-disjoint paths of each corner minor of ![A^r](https://render.githubusercontent.com/render/math?math=A%5Er), where ![r](https://render.githubusercontent.com/render/math?math=r) is the exponent of ![A](https://render.githubusercontent.com/render/math?math=A)
        
        - basic_examples.py contains few basic examples
        
        - mat_call_py_example.m is a Matlab example of using Python functions from utils.py
        
        ## Install
        Install using pip: `pip install TpTnOsc`.
        
Keywords: TP TN I-TN oscillatory SEB planar-network
Platform: UNKNOWN
Classifier: License :: OSI Approved :: MIT License
Classifier: Programming Language :: Python :: 3.8
Classifier: Topic :: Scientific/Engineering :: Mathematics
Requires-Python: >=3.8
Description-Content-Type: text/markdown
