In this article we study the difficulty of solving Multiple Right-Hand Side (MRHS) equation systems. In the first part we show that in generalsolving MRHS systems is NP-hard. In the next part we focus on special (large)families of MRHS systems that can be solved in polynomial time with two algorithms:one based on linearization of MRHS equations, and the second one basedon decoding problems that can be solved in polynomial time.
@article{449, title = {MRHS equation systems that can be solved in polynomial time}, journal = {Tatra Mountains Mathematical Publications}, volume = {65}, year = {2016}, doi = {10.2478/tatra.v67i0.449}, language = {EN}, url = {http://dml.mathdoc.fr/item/449} }
Zajac, Pavol. MRHS equation systems that can be solved in polynomial time. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v67i0.449. http://gdmltest.u-ga.fr/item/449/