Mixed-Precision Orthogonalization Scheme and Adaptive Step Size for Improving the Stability and Performance of CA-GMRES on GPUs

DOI10.1007/978-3-319-17353-5_2MaRDI QIDQ6487401

Unnamed Author, Jack J. Dongarra, Stanimire Z. Tomov, Ichitaro Yamazaki

Publication date: 9 December 2022

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Computer aspects of numerical algorithms (65Yxx)

Related Items (4)

Mixed precision algorithms in numerical linear algebra ⋮ Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects ⋮ Mixed-Precision Cholesky QR Factorization and Its Case Studies on Multicore CPU with Multiple GPUs ⋮ Randomized Gram--Schmidt Process with Application to GMRES

Cites Work

• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Newton basis GMRES implementation
• A Block Orthogonalization Procedure with Constant Synchronization Requirements
• Mixed-Precision Cholesky QR Factorization and Its Case Studies on Multicore CPU with Multiple GPUs

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