@article{Strassen:1983, key = "Strassen 1983", author = "V. Strassen", title = "The computational complexity of continued fractions", journal = SIAMJC, volume = 12, year = 1983, pages = "1-27"} @article{Frame:1949, key = "Frame 1949", author = "J. S. Frame", title = "Continued fractions and matrices", journal = AMM, volume = 56, year = 1949, pages = "98-103"} @book{Khintchine:1963, key = "Khintchine 1963", author = "A. Khintchine", title = "Continued Fractions", publisher = "P. Noordhoff", year = 1963} @article{Heilbronn:1969, key = "Heilbronn 1969", author = "H. Heilbronn", title = "On the average length of a class of finite continued fractions", journal = "Number Theory and Analysis", editor = "P. {Tur\'an}", year = 1969, pages = "87-96"} @article{Dixon:1970, key = "Dixon 1970", author = "J. D. Dixon", title = "The number of steps in the {Euclidean} algorithm", journal = JNT, volume = 2, year = 1970, pages = "414--422"} @article{Dixon:1971, key = "Dixon 1971", author = "J. D. Dixon", title = "A simple estimate for the number of steps in the {Euclidean} algorithm", journal = AMM, volume = 78, year =1971, pages = "374-376"} @article{Tonkov:1974, key = "Tonkov 1974", author = "T. Tonkov", title = "On the average length of finite continued fractions", journal = "Acta Arithmetica", volume = 26, year = 1974, pages = "47-57"} @article{Porter:1975, key = "Porter 1975", author = "J. W. Porter", title = "On a theorem of {Heilbronn}", journal = "Mathematika", volume = 22, year = 1975, pages = "20-28"} @article{Knuth:1976b, key = "Knuth 1976b", author = "D. E. Knuth", title = "Evaluation of {Porter's} constant", journal = CMA, volume = 2, year = 1976, pages = "137-139"} @article{Rieger:1977, key = "Rieger 1977", author = "G. J. Rieger", title = "Ein {Gauss-Kusmin-L\'evy-Satz} {f\"ur} die {singul\"aren} {Kettenbr\"uche} im {Sinn} von {Hurwitz}", journal = ABWG, year = 1977, volume = 28, pages = "81-88"} @article{Rieger:1981, key = "Rieger 1981", author = "G. J. Rieger", title = {{\"Uber} die {L\"ange} von {Kettenbr\"uchen} mit ungeraden {Teilnennern}}, journal = ABWG, year = 1981, volume =32, pages = "51-53"} @book{Bernstein:1971, key = "L. Bernstein 1971", author = "L. Bernstein", title = "The {Jacobi-Perron} Algorithm, its Theory and Applications", series = LNIM, volume = 207, publisher = SV, address = "Berlin", year = 1971} @book{Brentjes:1981, key = "Brentjes 1981", author = "A. J. Brentjes", title = "Multi-Dimensional Continued Fraction Algorithms", series = "Mathematical Centre Tracts", volume = 145, publisher = "Mathematisch Centrum", address = "Amsterdam", year = 1981} @article{Ferguson:1986, key = "Ferguson 1986", author = "H. R. P. Ferguson", title = "A short proof of the existence of vector {Euclidean} algorithms", journal = PAMS, volume = 97, year = 1986, pages = "8-10"} @article{Ferguson:1987, key = "Ferguson 1987", author = "H. R. P. Ferguson", title = "A non-inductive {GF($n, \Zee$)} algorithm that constructs integral linear relations for $n$ {$\Zee$}-linearly dependent real numbers", journal = JA, volume = 8, year = 1987, pages = "131-145"} @article{Ferguson&Forcade:1979, key = "Ferguson and Forcade 1979", author = "H. R. P. Ferguson and R. W. Forcade", title = "Generalization of the {Euclidean} algorithm for real numbers to all dimensions higher than two", journal = BAMS, volume = 1, year = 1979, pages = "912-914"} @article{Ferguson&Forcade:1982, key = "Ferguson and Forcade 1982", author = "H. R. P. Ferguson and R. W. Forcade", title = "Multidimensional {Euclidean} algorithms", journal = JFRAM, volume = 334, year = 1982, pages = "171-181"} @article{Hastad&Just&Lagarias&Schnorr:1989, key = "Hastad, Just, Lagarias, and Schnorr 1989", author = "J. Hastad and B. Just and J. C. Lagarias and C. P. Schnorr", title = "Polynomial time algorithms for finding integer relations among real numbers", journal = SIAMJC, volume = 18, year = 1989, pages = "859-881"} @article{Kolden:1949, key = "Kolden 1949", author = "K. Kolden", title = "Continued fractions and linear substitutions", journal = AMN, volume = 50, year = 1949, pages = "141-196"} @article{Lagarias:1994, key = "Lagarias 1994", author = "J. C. Lagarias", title = "Geodesic multidimensional continued fractions", journal = PLMS, volume = 69, year = 1994, pages = "464-488"}