Overview "Algorithmic Task" (202 entries)

• ➔ Problem class: computation of the rank of a matrix via elimination and echelon forms
• ➔ Problem class: computation of the reduced row echelon form (RREF) of a matrix
• ➔ Problem class: computation with module morphisms (kernel, image, subquotient, Hom_R)
• ➔ Problem class: computational algebraic geometry problems (intersection, elimination/projection, image closure of rational maps)
• ➔ Problem Class: Convex and integer-hull & lattice-point problems — master class
• ➔ Problem Class: Cyclic (periodic) tridiagonal systems
• ➔ Problem class: decompose ideals into primary/irreducible components; compute associated primes
• ➔ Problem Class: Dense small/medium eigenvalue problem
• ➔ Problem Class: External-memory sorting for data exceeding RAM
• ➔ Problem Class: Generalized eigenvalue problem Ax = λBx
• ➔ Problem class: Gröbner-basis computations for modules (module division, module Gröbner bases, syzygies, graded free resolutions, Hilbert series/polynomial, degree and genus)
• ➔ Problem Class: Hermitian / symmetric eigenvalue problem
• ➔ Problem Class: Interior-eigenvalue targeting
• ➔ Problem Class: Inverse medium scattering for penetrable inhomogeneities (refractive index or permittivity/permeability reconstruction)
• ➔ Problem Class: Inverse obstacle scattering for acoustic and electromagnetic waves (shape, boundary condition, and location recovery)