رسالة جامعية
The Main Diagonal of a Permutation Matrix
| العنوان: | The Main Diagonal of a Permutation Matrix |
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| المؤلفون: | Lindner, Marko, Strang, Gilbert |
| مرشدي الرسالة: | MIT (Massachusetts Institute of Technology) |
| حالة النشر: | preprint |
| بيانات النشر: | Technische Universität Chemnitz, 2012. |
| سنة النشر: | 2012 |
| المجموعة: | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Original Material: | urn:nbn:de:bsz:ch1-qucosa-80273 |
| مصطلحات موضوعية: | info:eu-repo/classification/ddc/518, ddc:518, Unendliche Matrix, Bandmatrix, Permutation, Faktorisierung, Bandmatrix, Permutation, unendliche Matrix, Hauptdiagonale, Faktorisierung, banded matrix, permutation, infinite matrix, main diagonal, factorization, 15A23, 47A53, 47B36 |
| الوصف: | By counting 1's in the "right half" of 2w consecutive rows, we locate the main diagonal of any doubly infinite permutation matrix with bandwidth w. Then the matrix can be correctly centered and factored into block-diagonal permutation matrices. Part II of the paper discusses the same questions for the much larger class of band-dominated matrices. The main diagonal is determined by the Fredholm index of a singly infinite submatrix. Thus the main diagonal is determined "at infinity" in general, but from only 2w rows for banded permutations. |
| Original Identifier: | oai:qucosa:de:qucosa:19621 |
| نوع الوثيقة: | Text |
| اللغة: | English |
| تدمد: | 1614-8835 |
| الإتاحة: | https://monarch.qucosa.de/id/qucosa%3A19621Test https://monarch.qucosa.de/api/qucosa%3A19621/attachment/ATT-0Test/ https://monarch.qucosa.de/api/qucosa%3A19621/attachment/ATT-1Test/ |
| حقوق: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsndl.DRESDEN.oai.qucosa.de.qucosa.19621 |
| قاعدة البيانات: | Networked Digital Library of Theses & Dissertations |
| تدمد: | 16148835 |
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