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Everything about Perturbation function
In mathematical optimization, the perturbation function is any function which relates to primal and dual problems. The name comes from the fact that any such function defines a perturbation of the initial problem. In many cases this takes the form of shifting the constraints. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Perturbation functionA 5-minute orientation
- Skim a recent paper: scTenifoldKnk: An efficient virtual knockout tool for gene function predictions via single-cell gene regulatory network perturbationInfluential work since 2022
- Pick up a classic book: Perturbation theory for linear operatorsThe most-reprinted book on the subject
- Read the landmark paper: Phonons and related crystal properties from density-functional perturbation theoryCited 9,791 times
- Go sideways: Duality (optimization)A closely related topic
- Go sideways: Duality gapA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Phonons and related crystal properties from density-functional perturbation theory
Spectral Representations in Perturbation Theory. I. Vertex Function
Perturbation of upper gastrointestinal function by cold stress.
The entry–exit function and geometric singular perturbation theory
Perturbation theory for the angular correlation function
Perturbation Correction to the Radial Distribution Function
Adler function for light quarks in analytic perturbation theory
Perturbation theory for the radial distribution function
🆕 Influential since 2022
scTenifoldKnk: An efficient virtual knockout tool for gene function predictions via single-cell gene regulatory network perturbation
Robust stability of Switched Boolean Networks with function perturbation
Robust optimal control of logical control networks with function perturbation
Robust set stability of probabilistic Boolean networks under general stochastic function perturbation
A wave function correction-based approach to the identification of resonances for vibrational perturbation theory
📚 Books worth reading
- 📕Perturbation theory for linear operatorsTosio Kato · 1966
- 📕Perturbation theory of eigenvalue problemsFranz Rellich · 1950
- 📕Testing higher-order Lagrangian perturbation theory against numerical simulationsThomas Buchert · 1995
Perturbations of positive semigroups with applicationsJacek Banasiak, Luisa Arlotti · 2005- 📕Perturbation theory of eigenvalue problemsFranz Rellich · 1950
Localization and perturbation of zeros of entire functionsM. I. Gilʹ · 2009
Approximation of free-discontinuity problemsAndrea Braides · 1998
Perturbation methods and semilinear elliptic problems on R[superscript n]A. Ambrosetti · 2006
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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