Effective Alpha Theory Certification Using Interval Arithmetic: Alpha Theory over Regions
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Publisher
Springer Nature Switzerland
Link
https://link.springer.com/content/pdf/10.1007/978-3-031-64529-7_29
Reference16 articles.
1. Blum, L., Cucker, F., Shub, M., Smale, S.: Complexity and Real Computation. Springer, Berlin (2012). https://doi.org/10.1007/978-1-4612-0701-6
2. Breiding, P., Rose, K., Timme, S.: Certifying zeros of polynomial systems using interval arithmetic. ACM Trans. Math. Softw. 49(1), 1–14 (2023)
3. Burr, M., Lee, K., Leykin, A.: Effective certification of approximate solutions to systems of equations involving analytic functions. In: Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, pp. 267–274 (2019)
4. Fousse, L., Hanrot, G., Lefèvre, V., Pélissier, P., Zimmermann, P.: MPFR: a multiple-precision binary floating-point library with correct rounding. ACM Trans. Math. Softw. 33(2), 13’es (2007). https://doi.org/10.1145/1236463.1236468
5. Lecture Notes in Computer Science;A Goldsztejn,2007
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