Generalized inverses and the Bott-Duffin network analysis
نویسندگان
چکیده
منابع مشابه
Further Results on Generalized Bott–duffin Inverses
Let A be a bounded linear operator, PM be an orthogonal projection with range M and PM ,N be an idempotent with range M and kernel N . This paper presents some novel relations between Bott-Duffin inverse AM = PM (APM + PM⊥) + and generalized Bott-Duffin inverse AM ,N = PM ,N (APM ,N + PN ,M ) + . Furthermore, the representations for the BottDuffin inverse and generalized Bott-Duffin inverse are...
متن کاملCondition number of Bott-Duffin inverse and their condition numbers
Various normwise relative condition numbers that measure the sensitivity of Bott– Duffin inverse and the solution of constrained linear systems are characterized. The sensitivity of condition number itself is then investigated. Finally, upper bounds are derived for the sensitivity of componentwise condition numbers. 2002 Elsevier Science Inc. All rights reserved.
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اندیشمندان و صاحب نظران علوم اجتماعی بر این باورند که مرحله تازه ای در تاریخ جوامع بشری اغاز شده است. ویژگیهای این جامعه نو را می توان پدیده هایی از جمله اقتصاد اطلاعاتی جهانی ، هندسه متغیر شبکه ای، فرهنگ مجاز واقعی ، توسعه حیرت انگیز فناوری های دیجیتال، خدمات پیوسته و نیز فشردگی زمان و مکان برشمرد. از سوی دیگر قدرت به عنوان موضوع اصلی علم سیاست جایگاه مهمی در روابط انسانی دارد، قدرت و بازتولید...
15 صفحه اولGeneralized Inverses and Applications
Fredholm’s method to solve a particular integral equation in 1903, was probably the first written work on generalized inverses. In 1906, Moore formulated the generalized inverse of a matrix in an algebraic setting, which was published in 1920, and in the thirties von Neumann used generalized inverses in his studies of continuous geometries and regular rings. Kaplansky and Penrose, in 1955, inde...
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Four results are given that address the existence, ambiguities and construction of a classical R-matrix given a Lax pair. They enable the uniform construction of R-matrices in terms of any generalized inverse of adL. For generic L a generalized inverse (and indeed the Moore-Penrose inverse) is explicitly constructed. The R-matrices are in general momentum dependent and dynamical. The constructi...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1963
ISSN: 0022-247X
DOI: 10.1016/0022-247x(63)90064-7