AbstractThe bisection method provides an affirmative answer for scalar functions. We show that the answer is negative for bivariate functions. This means, in particular, that an arbitrary continuation method cannot approximate a zero of every smooth bivariate function with nonzero topological degree
AbstractNewton's method for finding a zero of a vectorial function is a powerful theoretical and pra...
2noThe classical Poincaré–Bohl theorem provides the existence of a zero for a function avoiding exte...
If the first Betti number of the Milnor fibre of a plane curve singularity is zero, then the definin...
AbstractThe bisection method provides an affirmative answer for scalar functions. We show that the a...
The bisection method provides an affirmative answer for scalar functions. We show that the answer is...
Introduction According to the mathematical folklore, if a continuous and monotone function crosses ...
This chapter describes several basic methods for computing zeros of functions and then combines thre...
AbstractThe invariance of the topological degree under certain homotopies is used to computationally...
AbstractWe state precise results on the complexity of a classical bisection-exclusion method to loca...
We construct two retracts in Banach spaces and compute the topological degree for completely continu...
The classical Poincaré–Bohl theorem provides the existence of a zero for a function avoiding externa...
The volume contains the texts of four courses, given by the authors at a summer school that sought t...
topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we intro...
AbstractThe topological complexity of zero-finding is studied using a BSS machine over the reals wit...
AbstractThe class of “holonomic function” is considered. We present a quasi-algorithm that recognize...
AbstractNewton's method for finding a zero of a vectorial function is a powerful theoretical and pra...
2noThe classical Poincaré–Bohl theorem provides the existence of a zero for a function avoiding exte...
If the first Betti number of the Milnor fibre of a plane curve singularity is zero, then the definin...
AbstractThe bisection method provides an affirmative answer for scalar functions. We show that the a...
The bisection method provides an affirmative answer for scalar functions. We show that the answer is...
Introduction According to the mathematical folklore, if a continuous and monotone function crosses ...
This chapter describes several basic methods for computing zeros of functions and then combines thre...
AbstractThe invariance of the topological degree under certain homotopies is used to computationally...
AbstractWe state precise results on the complexity of a classical bisection-exclusion method to loca...
We construct two retracts in Banach spaces and compute the topological degree for completely continu...
The classical Poincaré–Bohl theorem provides the existence of a zero for a function avoiding externa...
The volume contains the texts of four courses, given by the authors at a summer school that sought t...
topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we intro...
AbstractThe topological complexity of zero-finding is studied using a BSS machine over the reals wit...
AbstractThe class of “holonomic function” is considered. We present a quasi-algorithm that recognize...
AbstractNewton's method for finding a zero of a vectorial function is a powerful theoretical and pra...
2noThe classical Poincaré–Bohl theorem provides the existence of a zero for a function avoiding exte...
If the first Betti number of the Milnor fibre of a plane curve singularity is zero, then the definin...
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