کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599579 1631141 2014 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Chiò's and Dodgson's determinantal identities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Chiò's and Dodgson's determinantal identities
چکیده انگلیسی
In this expository paper, we analyze and compare two determinantal identities constructed in the mid nineteenth century, Chiò's and Dodgson's, from the perspective of their origins in earlier work by J.J. Sylvester and C.G.J. Jacobi. All the known proofs of Chiò's and Dodgson's identities are cited and we present and compare them as modern algorithms for evaluating determinants. Restated as a recurrence, we discuss the role of Dodgson's identity in the development of the alternating sign matrix conjecture in the late twentieth century.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 454, 1 August 2014, Pages 130-137
نویسندگان
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