Add Distributed Linear Solve and Inverse Support for DMatrix
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- **Implemented RowMaximum Pivoting**: Added a new LU factorization strategy using the RowMaximum pivoting method for distributed matrices - **Custom Pivot Search and Swapping**: Introduced helper functions for searching row maxima, updating pivot indices, and swapping rows in both panel and trailing submatrices - **Blockwise Distributed Algorithm**: Ensured compatibility with block-partitioned distributed matrices, supporting only equal block sizes for now - **Non-breaking Addition**: Existing NoPivot LU functionality remains unchanged; RowMaximum is an additional strategy selectable via the LinearAlgebra interface.
AkhilAkkapelli
changed the title
DMatrixDMatrix
- **Implemented RowMaximum Pivoting**: Added a new LU factorization strategy using the RowMaximum pivoting method for distributed matrices - **Custom Pivot Search and Swapping**: Introduced helper functions for searching row maxima, updating pivot indices, and swapping rows in both panel and trailing submatrices - **Blockwise Distributed Algorithm**: Ensured compatibility with block-partitioned distributed matrices, supporting only equal block sizes for now - **Non-breaking Addition**: Existing NoPivot LU functionality remains unchanged; RowMaximum is an additional strategy selectable via the LinearAlgebra interface.
… and improve error handling
… improve buffer management
… into lineq-solve
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Adds support for distributed linear algebra operations on
DMatrix, likeinv(),ldiv!(),rdiv!(),\,/, and solvingA*x = borA*X = B.inv,\,/,ldiv!, andrdiv!to return results asDMatrixinstead of standard Matrix.DMatrixand right-hand sides (DMatrixorDVector), producing distributed outputs.