Senior Math Libraries Engineer - Direct Sparse Solvers

We are looking for software engineers to join our development efforts in cuDSS, a CUDA library for direct solvers for sparse linear systems. Around the world, leading commercial and academic organizations are revolutionizing scientific and engineering simulations, data analytics, and AI using data centers powered by GPUs and high-performance linear algebra libraries. Applications of these technologies include computer aided engineering (CAE), electronic design automation (EDA), optimization, quantum chemistry, autonomous vehicles, LLMs, and countless others. Did you know our team develops the GPU accelerated libraries and SDKs that help make these possible? In this role, you will work together with other developers in crafting algorithms and kernels for direct sparse solvers. Ideal candidates will not only have experience developing and optimizing accelerated computing kernels, but also demonstrate dedication to advancing the state-of-the-art in a variety of accelerated computing domains. If this sounds exciting, we would love to meet you! What you will be doing: Designing, implementing, and optimizing direct sparse solvers for existing and future GPU architectures Working with library engineers, QA engineers, and interns on all library development aspects from design to implementation and test to release and support Working closely with product management and other internal and external partners to understand feature and performance requirements and contribute to the technical roadmaps of libraries Finding and realizing opportunities to improve library quality, performance, and maintainability for sparse linear algebra libraries through re-architecting and establishing innovative software development practices What we need to see: PhD or MSc degree in Computer Science, Computational Science and Engineering, Applied Mathematics, or related science or engineering field (or equivalent experience) 5+ years of overall experience developing, debugging, and optimizing high-performance numerical software using C++ and parallel programming; ideally using CUDA, MPI, OpenMP, OpenACC, pthreads, or equivalent technologies Strong fundamentals in floating-point arithmetic, numerical analysis, and implementation of sparse linear algebra primitives like matrix-vector and matrix-matrix products and triangular solves Experience in developing, maintaining, and testing scientific computing libraries Strong collaboration, communication, and documentation habits. Ways to stand out from the crowd: Familiarity with techniques in direct solvers such as reordering, multi-frontal factorizations, supernodal factorizations, numerical pivoting strategies, and iterative refinement Good knowledge of CPU and/or GPU hardware architecture and low-level GPU performance optimization Experience with adopting and advancing modern methods in software engineering such as CI/CD systems, project management tools such as JIRA, and AI agents Understanding of large-scale computing technologies such as PDE solvers, eigenvalue solvers and time-domain simulation methods (e.g., CFD, FEA) Working experience in a globally distributed and agile organization NVIDIA’s invention of the GPU in 1999 sparked the growth of the PC gaming market, redefined modern computer graphics, and revolutionized parallel computing for science and engineering. More recently, GPU deep learning ignited modern AI — the next era of computing — with the GPU acting as the brain of computers, robots, and self-driving cars that can perceive and understand the world. Today, we are increasingly known as “the AI computing company.” We're looking to grow our company and build our teams with the smartest people in the world! Join us at the forefront of technological advancement. NVIDIA is widely considered to be one of the technology world's most desirable employers. We have some of the most forward-thinking and talented people in the world working for us. If you're creative, autonomous and love a challenge, we want to hear from you! Your base salary will be determined based on your location, experience, and other objective job-related factors. The expected base salary ranges for this position are: 184,000 USD – 287,500 USD for Level 4; and 224,000 USD – 356,500 USD for Level 5. You will also be eligible for equity and benefits . Applications for this job will be accepted at least until November 3, 2026. This posting is for an existing vacancy. NVIDIA uses AI tools in its recruiting processes. NVIDIA is committed to fostering an inclusive work environment and proud to be an equal opportunity employer. As we highly value diversity in our current and future employees, we do not discriminate (including in our hiring and promotion practices) on the basis of race, religion, color, national origin, gender, gender expression, sexual orientation, age, marital status, veteran status, disability status or any other characteristic protected by law.