https://www.youtube.com/watch?v=Gd_VT_Nj8Xw
https://www.youtube.com/watch?v=dluPFbuq6zs
Dr. Jeremy Kepner's paper is a good follow up read after those two quick videos:
http://www.mit.edu/~kepner/GraphBLAS/GraphBLAS-Math-release....
[0] Postgres GraphBLAS https://github.com/michelp/pggraphblas
Now that we have SOTA linear algebra models for graphs [1], logic [2] and the lambda calculus [3] that are being optimized for vectorized parallel compute on modern CPU/GPU/TPUs -- do we have the makings for a unified linear algebra model that obsoletes the relational algebra model in relational DBs?
[1] Graph Algorithms in the Language of Linear Algebra (2011) https://epubs.siam.org/doi/book/10.1137/1.9780898719918
Mathematical Foundations of the GraphBLAS (2016) https://arxiv.org/pdf/1606.05790.pdf
[2] A Linear Algebraic Approach to Datalog Evaluation (2017) [pdf] https://arxiv.org/abs/1608.00139
A Linear Algebraic Approach to Logic Programming (2018) https://www.imperial.ac.uk/media/imperial-college/faculty-of...
[3] Lineal: A linear-algebraic Lambda-calculus (2017) https://arxiv.org/pdf/quant-ph/0612199.pdf
The Vectorial λ-Calculus (2017) https://arxiv.org/pdf/1308.1138.pdf
Simple λΠ-interpreter for matrix computation (2017) http://cs242.stanford.edu/assets/projects/2017/nykh.pdf
Algebra and the Lambda Calculus https://people.csail.mit.edu/jaffer/lambda.txt