literatura.bib

@book{horn,
  title={Matrix Analysis},
  author={Horn, R. A. and Johnson, C. R.},
  year={1990},
  page={146 -- 147},
  publisher={Cambridge University Press}
}

@MastersThesis{vu,
    author     =     {Legersk\'y, J.},
    title     =    {Construction of algorithms for parallel addition},
    school     =     {Czech Technical University in Prague, FNSPE},
    address     =     {Czech Republic},
    year     =     {2015},
    type={Research Thesis},
    }

@article{redundant,
author = {A. M. Nielsen and P. Kornerup},
title = {Redundant Radix Representations of Rings},
journal ={IEEE Trans. Comput.},
volume = {48},
year = {1999},
pages = {1153-1165},
}


@ARTICLE{avizienis,
author={Avizienis, A.},
journal={IEEE Trans. Comput.},
title={Signed-Digit Number Representations for Fast Parallel Arithmetic},
year={1961},
volume={10},
pages={389--400},
}


@article{chow,
author={Chow, C.Y. and Robertson, J.E.},
journal={Proc. IEEE 4th Symp. on Comp. Arith.},
title={Logical design of a redundant binary adder},
year={1978},
pages={109--115},}


@ARTICLE{parAddNS,
author={Frougny, C. and Pelantov\'a, E. and Svobodov\'a, M.},
title={Parallel addition in non-standard numeration systems},
journal={Theoret. Comput. Sci.},
year={2011},
volume={412},
pages={5714--5727},
}

@misc{milena,
  author        = "M. Svobodov\'a",
  howpublished  = "Private communication",
  year          = "2014--2015"
}

@article{kBlock,
title = "k-Block parallel addition versus 1-block parallel addition in non-standard numeration systems ",
journal = "Theoret. Comput. Sci. ",
volume = "543",
pages = "52--67",
year = "2014",
author = "Frougny, C. and Heller, P. and Pelantov\'a, E. and Svobodov\'a, M.",
}


@article {minAlph,
    AUTHOR = {Frougny, C. and Pelantov{\'a}, E. and
              Svobodov{\'a}, M.},
     TITLE = {Minimal digit sets for parallel addition in non-standard
              numeration systems},
   JOURNAL = {J. Integer Seq.},
  FJOURNAL = {Journal of Integer Sequences},
    VOLUME = {16},
      YEAR = {2013},
     PAGES = {36},
}

@article {kovacs,
    AUTHOR = {Kov\'acs, A.},
     TITLE = {On number expansions in lattices},
   JOURNAL = {Math. Comput. Model.},
    VOLUME = {38},
      YEAR = {2003},
     PAGES = {909--915},
}


@article{kornerup,
    author = {P. Kornerup},
    title = {Necessary and Sufficient Conditions for Parallel, Constant Time Conversion and Addition},
    journal = {Proc. 14th IEEE Symp. on Comp. Arith.},
    year = {1999},
    pages = {152--155}
}

@misc{sage,
    key={Sage},
  title = {Sage{M}ath Reference Manual},
  howpublished = {\url{http://doc.sagemath.org/html/en/reference/index.html}},
  note = {Accessed: 2016-4-24}
}

@misc{gspread,
    key={Gspread},
  title = {{Google Spreadsheets Python API}},
  howpublished = {\url{https://github.com/burnash/gspread}},
  note = {Accessed: 2016-4-24}
}

@misc{chapman,
    key={Gspread},
  title = {{Algebraic Number Theory -- summary of notes}},
  howpublished = {\url{http://empslocal.ex.ac.uk/people/staff/rjchapma/notes/ant2.pdf}},
  note = {Accessed: 2016-4-29}
}


@ARTICLE{Akiyama201528,
author={Akiyama, S. and Thuswaldner, J.M. and Zaïmi, T.},
title={Comments on the height reducing property {II}},
journal={Indag. Math.},
year={2015},
volume={26},
pages={28-39},
}

@ARTICLE{Akiyama20131616,
author={Akiyama, S. and Zaïmi, T.},
title={Comments on the height reducing property},
journal={Cent. Eur. J. Math.},
year={2013},
volume={11},
pages={1616-1627},
}

@ARTICLE{division, 
author={C. L. Wey and C. P. Wang}, 
journal={IEE Proc. -  Comp. and Digit. Tech.}, 
title={Design of a fast radix-4 {SRT} divider and its {VLSI} implementation}, 
year={1999}, 
volume={146}, 
pages={205-210}, 
}