Sparse matrix-vector multiplication (SpMV) is a key operation across high-performance computing, graph analytics, and many more applications.In these applications, the matrix characteristics, notably non-zero elements per row, can vary widely and impact which algorithm performs best.Thus, Graphics Processing Unit (GPU) SpMV algorithms often rely on costly preprocessing to determine what per-row algorithm to select to achieve high performance.In this work we combine SpMV preprocessing and the subsequent per-row processing on the GPU by leveraging the novel "Work Graphs" GPU programming model-initially designed for graphics applications-for dynamic on-device self-scheduling.Work Graphs allow for fine-grain dataflow execution of individual workgroups using emerging hardware and firmware support.As soon as preprocessing has generated sufficient work, workgroups of individual processing kernels are self-scheduled and executed, interleaved with those of other kernels.This improves cache locality and eliminates host interaction altogether.Across a suite of 59 sparse matrices, the best of various novel Work Graphs SpMV implementations outperforms state-of-the-art rocSPARSE "LRB" for a single SpMV by up to 7.19× (mean: 3.35×, SD: 1.89).Furthermore, it achieves much more stable performance across various sparsity patterns than the rocSPARSE CSR-General algorithm, and even beats the advanced rocSPARSE CSR-Adaptive algorithm for up to 92 consecutive SpMV calculations.In addition, compared to rocSPARSE LRB, it reduces code complexity by 75%.Its memory footprint for supporting data structures is a fixed ∼25 MiB independent of matrix size, compared to rocSPARSE LRB's data structures that scale with matrix