Add support for solving systems of linear equations with LAPACK
This proposal aims to strengthen stdlib’s linear algebra capabilities by implementing LAPACK-based solve routines for structured matrix formats such as packed, banded, and tridiagonal systems, which are widely used in scientific and engineering applications. The project focuses on enabling a complete factorization-to-solution workflow, ensuring seamless integration with existing routines while carefully handling specialized storage formats that require precise indexing and memory management. Emphasis will be placed on numerical correctness, consistency with stdlib’s APIs, and robustness through comprehensive testing and validation. Clear documentation and practical examples will also be provided to improve usability, ultimately making stdlib a more reliable and effective toolkit for real-world scientific computing.
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