Jacobian reuse in explicit integrators for higher index DAEs

Rank revealing QR factorizations

Tony F. Chan · Linear Algebra and its Applications · 1987 · 523 citations

Qr Factorizations, Ranking Algorithm, Matrix Factorization +3

A Newton-Raphson method for the solution of systems of equations

Adi Ben-Israel · Journal of Mathematical Analysis and Applications · 1966 · 348 citations

Numerical Analysis, Numerical Computation, Validated Numerics +4

Computational differentiation : techniques, applications, and tools

Martin Berz · Medical Entomology and Zoology · 1996 · 335 citations

Numerical Analysis, Computational Differentiation, Computer Programs +20

Structural analysis of differential-algebraic equation systems—theory and applications

J. Unger, Andreas Kröner, Wolfgang Marquardt · Computers & Chemical Engineering · 1995 · 144 citations

Systems Analysis, Engineering, Algebraic Structure +2

Solvability of General Differential Algebraic Equations

Stephen L. Campbell, E. Griepentrog · SIAM Journal on Scientific Computing · 1995 · 137 citations

Numerical Analysis, Engineering, Reachability Problem +13