High-Order Automatic Differentiation of Unmodified Linear Algebra Routines via Nilpotent Matrices

<p> This work presents a new automatic differentiation method, Nilpotent Matrix Differentiation (NMD), capable of propagating any order of mixed or univariate derivative through common linear algebra functions&mdash;most notably third-party sparse solvers and decomposition routines, in add...

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Bibliographic Details
Main Author: Dunham, Benjamin Z.
Language:EN
Published: University of Colorado at Boulder 2017
Subjects:
Online Access:http://pqdtopen.proquest.com/#viewpdf?dispub=10270502