Manuel Radons

activity

20162025

most citedSolving piecewise linear equations in abs-normal form

41 citations · 73 across the 14 of their papers we have counts for

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5 papers · 1 filter

math.OC2019★ 6 cited

Generalized Perron Roots and Solvability of the Absolute Value Equation

Manuel Radons, Josué Tonelli-Cueto

Let $A$ be a $n \times n$ real matrix. The piecewise linear equation system $z - A ∣ z ∣ = b$ is called an absolute value equation (AVE). It is well-known to be equivalent to the…

math.OC2018

An Open Newton Method for Piecewise Smooth Functions

Manuel Radons, Lutz Lehmann, Tom Streubel +1

Recent research has shown that piecewise smooth (PS) functions can be approximated by piecewise linear functions with second order error in the distance to a given reference point.…

math.OC2018

Semi-automatically optimized calibration of internal combustion engines

Timo Burggraf, Michael Joswig, Marc E. Pfetsch +2

Modern combustion engines incorporate a number of actuators and sensors that can be used to control and optimize the performance and emissions. We describe a semi-automatic method…

math.OC2017

A note on surjectivity of piecewise affine mappings

Manuel Radons

A standard theorem in nonsmooth analysis states that a piecewise affine function $F : R^{n} \to R^{n}$ is surjective if it is coherently oriented in that the linear…

math.OC2016★ 22 cited

Direct solution of piecewise linear systems

Manuel Radons

Let $S$ be a real $n \times n$ matrix, $z, c^\in R^{n}$ , and $∣ z ∣$ the componentwise modulus of $z$ . Then the piecewise linear equation system $z - S ∣ z ∣ = c^$ is call…