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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

H. Ltaief

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Preprint Sep 2026

Dense Matrices Are Alike; Sparse Matrices Are Sparse in Their Own Way: A Structure-Adaptive Tile Cholesky Factorization

Sparse direct Cholesky solvers fix one data structure for an entire matrix, but symmetric positive definite systems range from nearly dense to irregular, sometimes mixing both within one matrix. We let the data structure follow the sparsity structure, across matrices and across tiles within a matrix. Before numerical w...

Esmail Abdul Fattah, H. Ltaief, Håvard Rue et al. · 0 citations
Book Open access Jul 2026

Cheetah: Optimizing Execution Pipelines for Matrix-Free Finite Element Operators on GPUs

Cheetah is presented, a set of kernel-level optimizations that systematically redesign the execution pipeline of just-in-time compiled matrix-free finite element operators without modifying the mathematical formulation or user-facing programming model and demonstrates that low-level kernel restructuring is essential fo...

Jie Ren, H. Ltaief, Stefano Zampini et al. · 0 citations

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