Publications 2014-2026

• 2026
  • E. Agullo, H. Anzt, D. Bauer, D. Bindel, A. Buttari, A. Calotoiu, E. Carson, P. D'Ambra, I. Daužickaitė, James W. Demmel, J. Dongarra, I. Duff, M. Fasi, D. Göddeke, S. Graillat, L. Hunhold, R. Iakymchuk, F. Jézéquel, N. Kohl, H. Köstler, J. Kružík, J. Langou, X. Li, H. Ltaief, P. Luszczek, Y. Ma, Th. Mary, M. Mikaitis, H. Ootomo, D. Osei‑Kuffuor, Enrique S. Quintana‑Ortí, U. Rüde, J. Scott, J. Shalf, L. Stals, R. Tamstorf, S. Turek, P. Vacek, B. Vieuble, R. Yokota : “Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation”, (2026)
  • M. Havdiak, O. Lagerqvist, S. Graillat, R. Iakymchuk : “Reproducible Power Method for Computing Dominant Eigenvalue and Eigenvector”, (2026)
• 2023
  • R. Iakymchuk, S. Graillat, José I. Aliaga : “General framework for re-assuring numerical reliability in parallel Krylov solvers: A case of BiCGStab methods”, (2023)
• 2022
  • D. Mukunoki, R. Iakymchuk, F. Jézéquel, K. Ozaki, T. Ogita, T. Imamura : “Remedies for Reproducibility Issue in Conjugate Gradient Solvers”, Sparse Days conference, Saint-Girons, France (2022)
• 2021
  • R. Iakymchuk, S. Graillat, J. Aliaga : “General framework for deriving reproducible Krylov subspace algorithms: A BiCGStab case study”, (2021)
  • I. Argyros, S. Shakhno, R. Iakymchuk, H. Yarmola, M. Argyros : “Gauss–Newton–Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions”, Axioms, vol. 10 (3), pp. 158, (MDPI) (2021)
  • R. Iakymchuk, D. Mukunoki, T. Ogita, K. Ozaki, S. Graillat : “Accurate and Reproducible Conjugate Gradient in Hybrid Parallel Environments”, (2021)
  • F. Jézéquel, S. Graillat, D. Mukunoki, T. Imamura, R. Iakymchuk : “Fast rounding error estimation for compute-intensive operations using standard floating-point arithmetic”, RAIM (Rencontres Arithmétiques de l'Informatique Mathématique), Paris, France (2021)
• 2020
  • D. Mukunoki, K. Ozaki, T. Ogita, R. Iakymchuk : “Conjugate Gradient Solvers with High Accuracy and Bit-wise Reproducibility between CPU and GPU using Ozaki Scheme”, (2020)
  • R. Iakymchuk, M. Vayá, S. Graillat, J. Aliaga, E. Quintana‑Ortí : “Reproducibility of parallel preconditioned conjugate gradient in hybrid programming environments”, International Journal of High Performance Computing Applications, vol. 34 (5), pp. 502-518, (SAGE Publications) (2020)
  • F. Jézéquel, S. Graillat, D. Mukunoki, T. Imamura, R. Iakymchuk : “Can we avoid rounding-error estimation in HPC codes and still get trustworthy results?”, Lecture Notes in Computer Science, Los Angeles, CA, United States (2020)
  • R. Iakymchuk, M. Barreda, M. Wiesenberger, J. Aliaga, E. Quintana‑Ortí : “Reproducibility Strategies for Parallel Preconditioned Conjugate Gradient”, (2020)
  • R. Iakymchuk, M. Barreda, S. Graillat, J. Aliaga, E. Quintana‑Ortí : “Reproducibility of Parallel Preconditioned Conjugate Gradient in Hybrid Programming Environments”, (2020)
  • R. Iakymchuk, D. Mukunoki, A. Podobas, F. Jézéquel, T. Imamura, N. Fujita, J. Huthmann, Sh. Kudo, Y. Tan, J. Domke, K. Ohlhus, T. Fukaya, T. Hoshi, Y. Murakami, M. Nakata, T. Ogita, K. Sano, T. Boku : “White Paper from the Workshop on Large-scale Parallel Numerical Computing Technology (LSPANC 2020): HPC and Computer Arithmetic toward Minimal-Precision Computing”, (2020)
  • F. Jézéquel, S. Graillat, D. Mukunoki, T. Imamura, R. Iakymchuk : “Can we avoid rounding-error estimation in HPC codes and still get trustful results?”, (2020)
  • T. Boku, N. Fujita, S. Graillat, J. Huthmann, R. Iakymchuk, T. Imamura, F. Jézéquel, A. Koshiba, D. Mukunoki, K. Sano, Y. Tan : “Minimal-Precision Computing for High-Performance, Energy-Efficient, and Reliable Computations”, 2^nd R-CCS international symposium, K to Fugaku: Simulation, Big Data and AI supporting Society 5.0, Kobe, Japan (2020)
  • R. Iakymchuk, S. Graillat, F. Jézéquel, D. Mukunoki, T. Imamura, Y. Tan, A. Koshiba, J. Huthmann, K. Sano, N. Fujita, T. Boku : “Optimizing Precision for High-Performance, Robust, and Energy-Efficient Computations”, International Conference on High Performance Computing in Asia-Pacific Region,, Fukuoka, Japan (2020)
• 2019
  • T. Boku, N. Fujita, S. Graillat, J. Huthmann, R. Iakymchuk, T. Imamura, F. Jézéquel, A. Koshiba, D. Mukunoki, K. Sano, Y. Tan : “Minimal-Precision Computing for High-Performance, Energy-Efficient, and Reliable Computations”, International Conference on High Performance Computing, Networking, Storage and Analysis (SC19), Denver, United States (2019)
  • T. Imamura, D. Mukunoki, R. Iakymchuk, F. Jézéquel, S. Graillat : “Numerical Reproducibility based on Minimal-Precision Validation”, Computational Reproducibility at Exascale Workshop (CRE2019), in conjunction with the International Conference on High Performance Computing, Networking, Storage and Analysis (SC19), Denver, United States (2019)
  • D. Mukunoki, I. Toshiyuki, Y. Tan, A. Koshiba, J. Huthmann, K. Sano, F. Jézéquel, S. Graillat, R. Iakymchuk, N. Fujita, T. Boku : “Minimal-Precision Computing for High-Performance, Energy-Efficient, and Reliable Computations”, France-Japan-Germany trilateral workshop: Convergence of HPC and Data Science for Future Extreme Scale Intelligent Applications, Tokyo, Japan (2019)
  • R. Iakymchuk, S. Graillat, D. Defour, E. Quintana‑Ortí : “Hierarchical approach for deriving a reproducible unblocked LU factorization”, International Journal of High Performance Computing Applications, pp. #1094342019832968, (SAGE Publications) (2019)
• 2017
  • R. Iakymchuk, S. Graillat, D. Defour, E. Laure, E. Quintana‑Ortí : “Towards a Reproducible Solution of Linear Systems”, Supercomputing Conference 2017-Computational Reproducibility at Exascale Workshop, Denver, United States (2017)
  • R. Iakymchuk, E. Quintana‑Ortí, E. Laure, S. Graillat : “Towards Reproducible Blocked LU Factorization”, 4^th International Workshop on Reproducibility in Parallel Computing in conjunction with IPDPS 2017 - 31^st IEEE International Parallel & Distributed Processing Symposium, Orlando, United States (2017)
• 2016
  • R. Iakymchuk, S. Graillat, D. Defour, E. Quintana‑Ortí : “Hierarchical Approach for Deriving a Reproducible LU factorization on GPUs”, The Numerical Reproducibility at Exascale (NRE16) workshop held as part of the Supercomputing Conference (SC16), Salt Lake City, UT, United States (2016)
  • R. Iakymchuk, I. Toshiyuki, S. Graillat, S. Markidis, E. Laure : “A Case Study of the Reproducibility Issues in EigenExa”, EASC2016, Exascale Applications and Software Conference, Stockholm, Sweden (2016)
  • R. Iakymchuk, D. Defour, C. Collange, S. Graillat : “Reproducible and Accurate Algorithms for Numerical Linear Algebra”, SIAM Conference on Parallel Processing for Scientific Computing (PP16), Paris, France, (SIAM) (2016)
  • R. Iakymchuk, D. Defour, S. Graillat : “Towards Fast, Accurate and Reproducible LU Factorization”, SCAN 2016, 17^th international symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, Uppsala, Sweden, pp. 59-60 (2016)
  • R. Iakymchuk, D. Defour, C. Collange, S. Graillat : “Reproducible and Accurate Matrix Multiplication”, 16^th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics n°9553, Lecture Notes of Computer Science, Wurzburg, Germany, pp. 126-137 (2016)
• 2015
  • C. Collange, D. Defour, S. Graillat, R. Iakymchuk : “Numerical Reproducibility for the Parallel Reduction on Multi- and Many-Core Architectures”, Parallel Computing, vol. 49, pp. 83-97, (Elsevier) (2015)
  • C. Collange, D. Defour, S. Graillat, R. Iakymchuk : “Numerical Reproducibility for the Parallel Reduction on Multi- and Many-Core Architectures”, (2015)
  • R. Iakymchuk, D. Defour, C. Collange, S. Graillat : “Reproducible Triangular Solvers for High-Performance Computing”, 2015 12^th International Conference on Information Technology - New Generations, Las Vegas, NV, United States, pp. 353-358, (IEEE) (2015)
  • R. Iakymchuk, S. Graillat, C. Collange, D. Defour : “ExBLAS: Reproducible and Accurate BLAS Library”, RAIM: Rencontres Arithmétiques de l’Informatique Mathématique, Rennes, France (2015)
  • R. Iakymchuk, S. Shakhno : “Methods with Successive and Parallel Approximations of Inverse Operator for the Nonlinear Least Squares Problem”, PAMM. Vol. 15. Special issue: 86^th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Lecce, Italy, pp. 569-570 (2015)
  • R. Iakymchuk, D. Defour, C. Collange, S. Graillat : “Reproducible and Accurate Matrix Multiplication for GPU Accelerators”, (2015)
  • R. Iakymchuk, C. Collange, D. Defour, S. Graillat : “ExBLAS: Reproducible and Accurate BLAS Library”, NRE: Numerical Reproducibility at Exascale, Austin, TX, United States (2015)
  • R. Iakymchuk, C. Collange, D. Defour, S. Graillat : “Reproducibility and Accuracy for High-Performance Computing”, 7^e Rencontre Arithmétique de l'Informatique Mathématique, Rennes, France (2015)
• 2014
  • R. Iakymchuk, S. Shakhno : “On the Convergence Analysis of a Two-Step Modification of the Gauss-Newton Method”, PAMM. Vol. 14. Special issue: 85^th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen, Germany, pp. 813-814 (2014)
  • C. Collange, D. Defour, S. Graillat, R. Iakymchuk : “Reproducible and Accurate Matrix Multiplication for High-Performance Computing”, 16^th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, Wuerzburg, Germany, pp. 42-43 (2014)
  • C. Collange, D. Defour, S. Graillat, R. Iakymchuk : “A Reproducible Accurate Summation Algorithm for High-Performance Computing”, SIAM Workshop on Exascale Applied mathematics Challenges and opportunites, Chicago, United States (2014)