A Relational Matrix Algebra and its Implementation in a Column Store

Summary: Relational Matrix Algebra (RMA) unifies linear algebra with the relational model at the logical level; all ops are closed on relations, no new data structures required. MonetDB implementation validates feasibility; experiments show competitive in-database analytics for mixed workloads. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID: 5963
Venue: SIGMOD
Year: 2020
Pagerank: 4.9735157e-05
Overall Rank: 6,645 | 53.82%
DOI: 10.1145/3318464.3389747

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 4 of 4 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
5,089	TCUDB: Accelerating Database with Tensor Processors	2022	SIGMOD	5.7017353e-05
5,836	Tensor Relational Algebra for Distributed Machine Learning System Design	2021	VLDB	5.3079723e-05
7,055	Serving Deep Learning Models with Deduplication from Relational Databases	2022	VLDB	4.8428976e-05
11,365	Givens QR Decomposition over Relational Databases	2022	SIGMOD	4.1905499e-05

Outgoing Citations (Sorted by Pagerank)

Showing 8 of 8 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank	Cited Paper	Year	Venue	Pagerank
139	The MADlib Analytics Library or MAD Skills, the SQL	2012	VLDB	0.00042320525
341	EmptyHeaded: A Relational Engine for Graph Processing	2016	SIGMOD	0.00026850764
856	The Multidimensional Database System RasDaMan	1998	SIGMOD	0.00015845377
1,074	RIOT: I/O-Efficient Numerical Computing without SQL	2009	CIDR	0.00014238255
1,165	Simulation of Database-Valued Markov Chains Using SimSQL	2013	SIGMOD	0.00013567206
2,939	AIDA - Abstraction for Advanced In-Database Analytics	2018	VLDB	7.8514162e-05
4,822	SciQL: Array Data Processing Inside an RDBMS	2013	SIGMOD	5.891732e-05
8,462	Building Statistical Models and Scoring with UDFs	2007	SIGMOD	4.5007504e-05

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