Rank one perturbation and its application to the laplacian spectrum of a graph∗
نویسندگان
چکیده
منابع مشابه
construction and validation of translation metacognitive strategy questionnaire and its application to translation quality
like any other learning activity, translation is a problem solving activity which involves executing parallel cognitive processes. the ability to think about these higher processes, plan, organize, monitor and evaluate the most influential executive cognitive processes is what flavell (1975) called “metacognition” which encompasses raising awareness of mental processes as well as using effectiv...
Equivalence up to a Rank One Perturbation
This note is devoted to the spectral analysis of rank one perturbations of unitary and self-adjoint operators. We study the following question: given two cyclic (i.e., having simple spectrum) operators A and B, when is A equivalent to B up to a rank one perturbation? More precisely, when does there exist a unitary operator U such that rank (UAU∗−B) = 1? As usual, we are looking for an answer in...
متن کاملThe Laplacian spectrum of a mixed graph
In this paper, we discuss some properties of relations between a mixed graph and its line graph, which are used to characterize the Laplacian spectrum of a mixed graph. Then we present two sharp upper bounds for the Laplacian spectral radius of a mixed graph in terms of the degrees and the average 2-degrees of vertices and we also determine some extreme graphs which attain these upper bounds. ©...
متن کاملPerturbation of the Eigenvectors of the Graph Laplacian: Application to Image Denoising
The original contributions of this paper are twofold: a new understanding of the influence of noise on the eigenvectors of the graph Laplacian of a set of image patches, and an algorithm to estimate a denoised set of patches from a noisy image. The algorithm relies on the following two observations: (1) the low-index eigenvectors of the diffusion, or graph Laplacian, operators are very robust t...
متن کاملextraction and characterization of allium irancum plant extract and its application in the green synthesis of silver nano particles and oxidation of thiocarbony1 compounds
سنتز سبز نانوذرات فلزی (nps) درسالهای اخیر توجه بسیارزیادی را به خود جلب کرده است. زیرا این پروتوکل کم هزینه وسازگار با محیط زیست از روش های استاندارد سنتز. در این پایان نامه ما گزارش میکنیم یک روش ساده و سازگار با محیط زیست برای سنتز نانوذرات نقره با استفاده از محلول آبی عصاره گیاه allium iranicum به عنوان یک عامل کاهش دهنده ی طبیعی. نانو ذرات نقره مشخص شد با استفاده از تکنیک های uv-visible، x...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 1999
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081089908818613