likithb-dev/matrix-eigenvalues-pagerank

How likithb-dev/matrix-eigenvalues-pagerank works

This is a small mathematical study and Python implementation of PageRank, not a hosted application. Its main workflow constructs link-transition and Google matrices, computes PageRank by either an eigenvector or power iteration, then checks the result. A separate graph module builds sample directed graphs and provides visualizations. The README documents the conceptual stages; source excerpts show two partly independent implementations, so the graph does not imply that graph.py feeds either solver. Edges are limited to calls visible in excerpts or relationships stated in the README.

Main entry points: power_iteration.py Power Iteration Pipeline · graph.py Directed Graph · pagerank.py Google Matrix · eigenvalues.py Eigenvalue Utilities

Components 13

Graph Modeling

Directed Graph src/graph.py
Adjacency Matrix src/graph.py

PageRank Matrices

Transition Matrix src/pagerank.py
Google Matrix src/pagerank.py
Transition Builder src/power_iteration.py
Google Matrix Builder src/power_iteration.py

Rank Solvers

Eigenvector Rank src/pagerank.py
Eigenvalue Utilities src/eigenvalues.py
Power Iteration Pipeline src/power_iteration.py
Iterative Rank src/power_iteration.py

Results and Visualization

Rank Verification src/pagerank.py
Graph and Rank Plots src/graph.py

Other components

Analyst

Connections 15

Analyst → Directed Graph: constructs README.md
Directed Graph → Adjacency Matrix: represents as README.md
Adjacency Matrix → Transition Builder: normalizes links README.md
Power Iteration Pipeline → Transition Builder: calls src/power_iteration.py
Power Iteration Pipeline → Google Matrix Builder: calls src/power_iteration.py
Power Iteration Pipeline → Iterative Rank: calls src/power_iteration.py
Transition Builder → Google Matrix Builder: supplies matrix src/power_iteration.py
Google Matrix Builder → Iterative Rank: supplies matrix src/power_iteration.py
Transition Matrix → Google Matrix: feeds README.md
Google Matrix → Eigenvector Rank: solves eigenvector README.md
Eigenvector Rank → Eigenvalue Utilities: calls src/pagerank.py
Google Matrix → Rank Verification: checks residual src/pagerank.py
Eigenvector Rank → Rank Verification: checks result README.md
Iterative Rank → Rank Verification: cross-checks README.md
Directed Graph → Graph and Rank Plots: draws graph src/graph.py

Drawn by GitDiagram on November 9, 2026 from the repository's file tree, README and source files. Read as Markdown ·