CUTE: constrained and unconstrained testing environment
ACM Transactions on Mathematical Software (TOMS)
Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications
SIAM Journal on Matrix Analysis and Applications
The Quadratic Eigenvalue Problem
SIAM Review
A Test Matrix Collection for Non-Hermitian Eigenvalue Problems
A Test Matrix Collection for Non-Hermitian Eigenvalue Problems
CUTEr and SifDec: A constrained and unconstrained testing environment, revisited
ACM Transactions on Mathematical Software (TOMS)
Eigenvalue Problems in Fiber Optic Design
SIAM Journal on Matrix Analysis and Applications
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
SIAM Journal on Matrix Analysis and Applications
Subspace projection methods for model order reduction and nonlinear eigenvalue computation
Subspace projection methods for model order reduction and nonlinear eigenvalue computation
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Journal of Computational and Applied Mathematics
CONTEST: A Controllable Test Matrix Toolbox for MATLAB
ACM Transactions on Mathematical Software (TOMS)
Reproducible Research in Computational Harmonic Analysis
Computing in Science and Engineering
Python Tools for Reproducible Research on Hyperbolic Problems
Computing in Science and Engineering
Optimal Scaling of Generalized and Polynomial Eigenvalue Problems
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems
SIAM Journal on Matrix Analysis and Applications
Definite Matrix Polynomials and their Linearization by Definite Pencils
SIAM Journal on Matrix Analysis and Applications
An Improved Arc Algorithm for Detecting Definite Hermitian Pairs
SIAM Journal on Matrix Analysis and Applications
Computing eigensolutions for singular sturm-liouville problems in photonics
Computing eigensolutions for singular sturm-liouville problems in photonics
Estimation of omnidirectional camera model from epipolar geometry
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
The university of Florida sparse matrix collection
ACM Transactions on Mathematical Software (TOMS)
Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm
SIAM Journal on Matrix Analysis and Applications
Solving Rational Eigenvalue Problems via Linearization
SIAM Journal on Matrix Analysis and Applications
Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
An algorithm for the complete solution of quadratic eigenvalue problems
ACM Transactions on Mathematical Software (TOMS)
An algorithm for the complete solution of quadratic eigenvalue problems
ACM Transactions on Mathematical Software (TOMS)
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We present a collection of 52 nonlinear eigenvalue problems in the form of a MATLAB toolbox. The collection contains problems from models of real-life applications as well as ones constructed specifically to have particular properties. A classification is given of polynomial eigenvalue problems according to their structural properties. Identifiers based on these and other properties can be used to extract particular types of problems from the collection. A brief description of each problem is given. NLEVP serves both to illustrate the tremendous variety of applications of nonlinear eigenvalue problems and to provide representative problems for testing, tuning, and benchmarking of algorithms and codes.