Partially written internship report

.gitignore

@@ -14,3 +14,4 @@ plots/
 *.run.xml
 *.synctex.gz
 *.pdf
+*.toc

Report/Makefile

+RM   = rm -f
+FILE = report
+
+$(FILE).pdf: $(FILE).tex
+	pdflatex $(FILE).tex
+
+view: $(FILE).pdf
+	evince $^ >/dev/null 2>&1 &
+
+emacs: $(FILE).tex
+	emacs $^ &
+
+clean:
+	$(RM) $(FILE).aux $(FILE).blg $(FILE).log $(FILE).out $(FILE).toc $(FILE).bcf $(FILE).run.xml *~ 
+	$(RM) -r auto 
+
+fclean: clean
+	$(RM) $(FILE).pdf

Report/report.bib

+@article{julia,
+  title={Julia: A fast dynamic language for technical computing},
+  author={Bezanson, Jeff and Karpinski, Stefan and Shah, Viral B and Edelman, Alan},
+  journal={arXiv preprint arXiv:1209.5145},
+  year={2012}
+} %In their paper they have a different ref but from about the same people, so copy that one instead
+%it's from 2018 or sth too
+
+@online{polynomials,
+    url = {https://juliamath.github.io/Polynomials.jl}
+}
+
+@online{nemo,
+    url = {https://nemocas.github.io/Nemo.jl}
+}
+%oh hmm maybe I should use citavi on my laptop instead? I certainly need to renew my university license tho
+
+@PhdThesis{Po08,
+  Title                    = {Calcul de d\'eveloppements de Puiseux et application au calcul de groupe de monodromie d'une courbe alg\'ebrique plane},
+  Author                   = {Adrien Poteaux},
+  School                   = {Universit\'e de Limoges},
+  Year                     = {2008},
+}
+
+@InProceedings{PoRy15,
+  author    = {Poteaux, Adrien and Rybowicz, Marc},
+  title     = {Improving Complexity Bounds for the Computation of Puiseux Series over Finite Fields},
+  booktitle = {Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation},
+  year      = {2015},
+  series    = {ISSAC '15},
+  pages     = {299--306},
+  address   = {New York, NY, USA},
+  publisher = {ACM},
+  acmid     = {2756650},
+  doi       = {10.1145/2755996.2756650},
+  isbn      = {978-1-4503-3435-8},
+  keywords  = {algebraic curves, algebraic functions, complexity, finite fields, genus, puiseux series},
+  location  = {Bath, United Kingdom},
+  numpages  = {8},
+  url       = {http://doi.acm.org/10.1145/2755996.2756650},
+}
+
+@InProceedings{PoWe22b,
+  author    = {Poteaux, Adrien and Weimann, Martin},
+  title     = {Local Polynomial Factorisation: Improving the Montes Algorithm},
+  booktitle = {Proceedings of the 2022 ACM on International Symposium on Symbolic and Algebraic Computation},
+  year      = {2022},
+  series    = {ISSAC '22},
+  pages     = {149--158},
+  address   = {New York, NY, USA},
+  publisher = {ACM},
+  isbn      = {978-1-4503-8688-8},
+  location  = {Villeneuve d'Ascq, France},
+  numpages  = {9},
+}
+
+
+@inproceedings{brehard:hal-04138791,
+  TITLE = {{Validated Root Enclosures for Interval Polynomials with Multiplicities}},
+  AUTHOR = {Br{\'e}hard, Florent and Poteaux, Adrien and Soudant, L{\'e}o},
+  URL = {https://hal.science/hal-04138791},
+  BOOKTITLE = {{ISSAC'23 : International Symposium on Symbolic and Algebraic Computation 2023}},
+  ADDRESS = {Tromso, Norway},
+  YEAR = {2023},
+  MONTH = Jul,
+  DOI = {10.1145/3597066.3597122},
+  KEYWORDS = {multiple roots of univariate polynomials ; fixed-point validation},
+  PDF = {https://hal.science/hal-04138791/file/multrootval.pdf},
+  HAL_ID = {hal-04138791},
+  HAL_VERSION = {v1},
+}
+
+@inproceedings{zzeng03,
+ author = {Zhonggang Zeng},
+ title = {A method computing multiple roots of inexact polynomials},
+ booktitle = {ISSAC '03: Proceedings of the 2003 international symposium on Symbolic and algebraic computation},
+ year = {2003},
+ isbn = {1-58113-641-2},
+ pages = {266--272},
+ location = {Philadelphia, PA, USA},
+ doi = {http://doi.acm.org/10.1145/860854.860907},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+}
+
+@INPROCEEDINGS{zeng04ugcd,
+    author = {Zhonggang Zeng},
+    title = {The approximate GCD of inexact polynomials part 1: a univariate algorithm},
+    booktitle = {ISSAC '04: Proceedings of the 2004 international symposium on Symbolic and algebraic computation},
+    year = {2004},
+    pages = {320--327},
+    publisher = {ACM Press}
+}
+
+@article{zzeng05,
+        author = {Zhonggang Zeng},
+        title = {Computing multiple roots of inexact polynomials},
+        journal = {Mathematics of Computation},
+        year = {2005},
+        volume = {74},
+        pages = {869-903}
+}%this is the zeng text that I have read
+
+
+@book{gathen,
+    author = {Joachim von zur Gathen and Jürgen Gerhard},
+    title = {Modern Computer Algebra},
+    edition = {Third edition}
+}
\ No newline at end of file