Live briefing
Everything about Nonlinear eigenproblem
Type of equation involving matrix-valued functions
In mathematics, a nonlinear eigenproblem, sometimes nonlinear eigenvalue problem, is a generalization of the (ordinary) eigenvalue problem to equations that depend nonlinearly on the eigenvalue. Specifically, it refers to equations of the form Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Nonlinear eigenproblemA 5-minute orientation
- Pick up a classic book: Nonlinear Eigenproblems in Image Processing and Computer VisionThe most-reprinted book on the subject
- Read the landmark paper: Generalized eigenproblem and nonlinear elliptic equations with nonlinear boundary conditionsCited 17 times
- Go sideways: Quadratic eigenvalue problemA closely related topic
- Go sideways: Lanczos algorithmA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Generalized eigenproblem and nonlinear elliptic equations with nonlinear boundary conditions
Eigenproblem for p-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions
Multiple solutions for p-Laplacian eigenproblem with nonlinear boundary conditions
On a nonlinear Riccati matrix eigenproblem
A mathematical model of an inductively coupled radio-frequency discharge at low pressure as nonlinear partial eigenproblem
đź“š Books worth reading
Nonlinear Eigenproblems in Image Processing and Computer VisionGuy Gilboa · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Quadratic eigenvalue problem In mathematics, the quadratic eigenvalue problem (QEP), is to find scalar eigenvalues λ {\displaystyle \lambda } , left eigenvectors y {\displaystyle y}…
- Lanczos algorithm The Lanczos algorithm is an iterative method devised by Cornelius Lanczos that is an adaptation of power methods to find the m {\displaystyle m} "most…
- Matrix pencil In linear algebra, a matrix pencil is a matrix-valued function defined on a field K {\displaystyle K} , usually the real or complex numbers. Let K {\displaystyl…
- Vertex model A vertex model is a type of statistical mechanics model in which the Boltzmann weights are associated with a vertex in the model (representing an atom…
- Arnoldi iteration In numerical linear algebra, the Arnoldi iteration is an eigenvalue algorithm and an important example of an iterative method. Arnoldi finds an approximation…
- Bunch–Nielsen–Sorensen formula In mathematics, in particular linear algebra, the Bunch–Nielsen–Sorensen formula, named after James R. Bunch, Christopher P. Nielsen and Danny C. Sorensen…
- Lattice (group) In geometry and group theory, a lattice in the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} is an infinite set of lattice points having the…
- Matrix analysis In mathematics, particularly in linear algebra and applications, matrix analysis is the study of matrices and their algebraic properties. Some particular…