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Formalizing Linear Algebra in Isabelle/HOL by srkm180566 is a document available to read on EtoBox.

This dissertation explores the formalization and execution of Linear Algebra algorithms using Isabelle/HOL, focusing on refining matrix representations for functional programming. It includes formal proofs and implementations of various algorithms such as Gauss-Jordan and QR decomposition, along with benchmarks demonstrating their practical usability. The work also contributes standalone developments like serializations to SML and Haskell, and explores connections to Homotopy Type Theory.

Author

srkm180566

Language

EN