where '''A''' is a ''d <math>\times</math> d'' matrix. Every numerical implementation <math>\mathbf{y}_{n}</math> of the LL( (or of a HOLL) <math>\mathbf{z}_{n}</math> of any order is generically called ''Local Linearization scheme''.<ref name= ":8"/><ref name= ″:25″> Jimenez, J. C., & Carbonell, F. (2005). Rate of convergence of local linearization schemes for initial-value problems. Applied mathematics and computation, 171(2), 1282-1295. [https://doi.org/10.1016/j.amc.2005.01.118 doi:10.1016/j.amc.2005.01.118]</ref>