… mathematical properties of the whole matrix. This paper describes the key mathematical
concepts of the GraphBLAS … that show the overhead of the GraphBLAS is minimal (as compared …

… The GraphBLAS standard (istcbigdata.org/GraphBlas) is … The GraphBLAS mathematically
defines a core set of matrix-… to the GraphBLAS and describes how the GraphBLAS can be …

… This paper provides a brief description of the mathematics underlying the GraphBLAS. In …
use the GraphBLAS. An implementation of the DNN is given using a preliminary GraphBLAS C …

… GraphBLAS specification is provided in The GraphBLAS C API Specification [5], based on the
mathematical foundations … SuiteSparse:GraphBLAS is the first reference implementation of …

… This chapter is a copy of the paper Mathematical Foundations of the GraphBLAS, IEEE
High Performance Extreme Computing, 2016, by the authors of this chapter; published with …

… upon linear algebra kernels inspired by GraphBLAS, which significantly improves cache usage
… We believe our approach using GraphBLAS with optimized sparse linear algebra can be …

… The GraphBLAS standard has further enabled hardware acceleration of these mathematics
… Linearity is a key property of these mathematics utilized by the above implementations to …

… They are also motivated by the mathematical elegance of Linear algebra and the concise …
of the GraphBLAS through Julia and Python interfaces to the SuiteSparse GraphBLAS [1] …

… GraphBLAS C API specification. In this paper, we describe our next version of the C GraphBLAS
… small backwards compatibility issues, this is a major release we call GraphBLAS 2.0. …

… The design principles described in this paper have been implemented in “GraphBLAST”…
GraphBLAST has on average at least an order of magnitude speedup over previous GraphBLAS …