SYNAPS (SYmbolic Numeric ApplicationS) SYNAPS is a library devoted to symbolic and numeric computations. The kernel of this platform provides data-structures and classes for the manipulation of basic objects, such as vectors, matrices (dense, sparse, structured), univariate and multivariate polynomial (in the monomial, Horner or Bernstein basis), parameterised by their coefficients type, container types, ... It contains solvers for univariate and multivariate polynomials, tools for manipulating algebraic numbers, for computing univariate and multivariate resultants, Sturm sequences, for analysing the toplogy of implicit curves and surfaces, ...

This software is also referenced in ORMS.

References in zbMATH (referenced in 24 articles , 1 standard article )

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  1. Diochnos, Dimitrios I.; Emiris, Ioannis Z.; Tsigaridas, Elias P.: On the asymptotic and practical complexity of solving bivariate systems over the reals (2009)
  2. Zeng, Zhonggang: Regularization and matrix computation in numerical polynomial algebra (2009)
  3. Alt, Helmut; Scharf, Ludmila: Computing the Hausdorff distance between curved objects (2008)
  4. Daouda, Diatta Niang; Mourrain, Bernard; Ruatta, Olivier: On the computation of the topology of a non-reduced implicit space curve (2008)
  5. Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P.: Real algebraic numbers: Complexity analysis and experimentation (2008)
  6. Emiris, Ioannis Z.; Tsigaridas, Elias P.: Real algebraic numbers and polynomial systems of small degree (2008)
  7. Goswami, Samrat; Gillette, Andrew; Bajaj, Chandrajit: Efficient Delaunay mesh generation from sampled scalar functions (2008)
  8. Mourrain, Bernard; Pavone, Jean-Pascal; Trebuchet, Philippe; Tsigaridas, Elias P.; Wintz, Julien: SYNAPS: a library for dedicated applications in symbolic numeric computing (2008)
  9. Stillman, Michael E. (ed.); Takayama, Nobuki (ed.); Verschelde, Jan (ed.): Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23--27, 2006 (2008)
  10. Tsigaridas, Elias P.; Emiris, Ioannis Z.: On the complexity of real root isolation using continued fractions (2008)
  11. Bleylevens, Ivo; Peeters, Ralf; Hanzon, Bernard: Efficiency improvement in an (n)D systems approach to polynomial optimization (2007)
  12. Diochnos, Dimitrios I.; Emiris, Ioannis Z.; Tsigaridas, Elias P.: On the complexity of real solving bivariate systems (2007)
  13. Mourrain, B.; Pavlidis, N. G.; Tasoulis, D. K.; Vrahatis, M. N.: Determining the number of real roots of polynomials through neural networks (2006)
  14. Tsigaridas, Elias P.; Emiris, Ioannis Z.: Univariate polynomial real root isolation: Continued fractions revisited (2006)
  15. Dickenstein, Alicia (ed.); Emiris, Ioannis Z. (ed.): Solving polynomial equations. Foundations, algorithms, and applications (2005)
  16. Eigenwillig, Arno; Kettner, Lutz; Krandick, Werner; Mehlhorn, Kurt; Schmitt, Susanne; Wolpert, Nicola: A Descartes algorithm for polynomials with bit-stream coefficients (2005)
  17. Elkadi, Mohamed; Mourrain, Bernard: Symbolic-numeric methods for solving polynomial equations and applications (2005)
  18. Emiris, Ioannis Z.; Tsigaridas, Elias P.: Real solving of bivariate polynomial systems (2005)
  19. Gatellier, G.; Labrouzy, A.; Mourrain, B.; Técourt, J. P.: Computing the topology of three-dimensional algebraic curves (2005)
  20. Schmitt, Susanne: The diamond operator -- implementation of exact real algebraic numbers (2005)

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