@incollection{cha-rou-20-aa-unldyn,
  title = {Uncertain Nonlinear Dynamic Problems},
  author = {Chakraverty, Snehashish and Rout, Saudamini},
  booktitle = {Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems},
  series = {Synthesis Lectures on Mathematics {\&} Statistics},
  year = 2020,
  pages = {125-150},
  doi = {10.1007/978-3-031-02424-5_7},
  comment = {Finds eigenvalues of matrices of affine forms.},
  abstract = {Nonlinear dynamic problems from various fields of science and engineering lead to nonlinear eigenvalue problems. In this chapter, we focus on the solutions of nonlinear eigenvalue problems with uncertainty. A nonlinear eigenvalue problem is a generalization of a linear eigenvalue problem viz. standard eigenvalue problem or generalized eigenvalue problem to the equations that depend nonlinearly on the eigenvalues. Mathematically, a nonlinear eigenvalue problem is generally described by an equation of the form $M(\lambda)x = 0$, for all $\lambda$, and contains two unknowns viz. the eigenvalue parameter ($\lambda$) and the ``nontrivial'' vector(s) ($x$) (known as eigenvector) corresponding to it.}
}