LattE (Lattice point Enumeration) is a computer software dedicated to the problems of counting lattice points and integration inside convex polytopes. LattE contains the first ever implementation of Barvinok’s algorithm. The LattE macchiato version (by M. Köppe) incorporated fundamental improvements and speed ups. Now the latest version, LattE integrale, has the ability to directly compute integrals of polynomial functions over polytopes and in particular to do volume computations.

This software is also referenced in ORMS.

References in zbMATH (referenced in 93 articles , 2 standard articles )

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  1. Baldoni, V.; Vergne, M.; Walter, M.: Computation of dilated Kronecker coefficients (2018)
  2. Berg, Sören; Jochemko, Katharina; Silverstein, Laura: Ehrhart tensor polynomials (2018)
  3. Nguyen, Danny; Pak, Igor: Enumerating projections of integer points in unbounded polyhedra (2018)
  4. Assarf, Benjamin; Gawrilow, Ewgenij; Herr, Katrin; Joswig, Michael; Lorenz, Benjamin; Paffenholz, Andreas; Rehn, Thomas: Computing convex hulls and counting integer points with polymake (2017)
  5. Breuer, Felix; Zafeirakopoulos, Zafeirakis: Polyhedral omega: a new algorithm for solving linear Diophantine systems (2017)
  6. Pak, Igor; Panova, Greta: On the complexity of computing Kronecker coefficients (2017)
  7. Toth, Csaba D. (ed.); Goodman, Jacob E. (ed.); O’Rourke, Joseph (ed.): Handbook of discrete and computational geometry (2017)
  8. Tran, Hoang; Webster, Clayton G.; Zhang, Guannan: Analysis of quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients (2017)
  9. Habibi, Jalal; Moshiri, Behzad; Sedigh, Ali Khaki; Morari, Manfred: Low-complexity control of hybrid systems using approximate multi-parametric MILP (2016)
  10. Krumm, David: Computing points of bounded height in projective space over a number field (2016)
  11. Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Dutra, Brandon E.; Köppe, Matthias; Vergne, Michèle: Coefficients of Sylvester’s denumerant (2015)
  12. Bogart, Tristram; Haase, Christian; Hering, Milena; Lorenz, Benjamin; Nill, Benjamin; Paffenholz, Andreas; Rote, Günter; Santos, Francisco; Schenck, Hal: Finitely many smooth $d$-polytopes with $n$ lattice points (2015)
  13. Bruns, Winfried; Söger, Christof: The computation of generalized Ehrhart series in normaliz (2015)
  14. Chin, Eric B.; Lasserre, Jean B.; Sukumar, N.: Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra (2015)
  15. Doyle, John R.; Krumm, David: Computing algebraic numbers of bounded height (2015)
  16. Powell, Devon; Abel, Tom: An exact general remeshing scheme applied to physically conservative voxelization (2015)
  17. Rossmann, Tobias: Computing topological zeta functions of groups, algebras, and modules. I (2015)
  18. Rouse, Jeremy; Webb, John J.: On spaces of modular forms spanned by eta-quotients (2015)
  19. Slavković, Aleksandra; Zhu, Xiaotian; Petrović, Sonja: Fibers of multi-way contingency tables given conditionals: relation to marginals, cell bounds and Markov bases (2015)
  20. Xin, Guoce: A Euclid style algorithm for MacMahon’s partition analysis (2015)

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