Improving the Accuracy of Computed Eigenvalues and Eigenvectors
نویسندگان
چکیده
منابع مشابه
Improving the Accuracy of Computed Eigenvalues and Eigenvectors *
This paper describes and analyzes several variants of a computational method for improving the numerical accuracy of, and for obtaining numerical bounds on, matrix eigenvalues and eigenvectors. The method, which is essentially a numerically stable implementation of Newton's method, may be used to "fine tune" the results obtained from standard subroutines such as those in EISPACK
متن کاملAccuracy of Computed Eigenvectors via Optimizing a Rayleigh Quotient 1 Accuracy of Computed Eigenvectors via Optimizing a Rayleigh Quotient
This note gives converses to the well-known result: for any vector e u such that sin (u; e u) = O( ), we have e u Ae u e u e u = + O( ) where is an eigenvalue and u is the corresponding eigenvector of a Hermitian matrix A, and \ " denotes complex conjugate transpose. It shows that if e u Ae u=e u e u is close to A's largest eigenvalue, then e u is close to the corresponding eigenvector with an ...
متن کاملthe effects of time planning and task complexity on accuracy of narrative task performance
هدف اصلی این تحقیق بررسی تاثیر برنامه ریزی زمانی، هم چنین افزایش میزان پیچیدگی تکالیف در نظر گرفته شده بصورت همزمان، بر دقت و صحت و پیچیدگی عملکرد نوشتاری زبان آموزان می باشد. بدین منظور، 50 نفر از دانش آموزان دختر در رده ی سنی 16 الی 18 سال به عنوان شرکت کنندگان در این زمینه ی تحقیق در نظر گرفته شدند و به دو گروه آزمایشی و کنترل بصورت اتفاقی تقسیم شدند. اعضای گروه آزمایشی هر دو تکلیف ساده و پی...
4: Eigenvalues, Eigenvectors, Diagonalization
Lemma 1.1. Let V be a finite-dimensional vector space over a field F. Let β, β′ be two bases for V . Let T : V → V be a linear transformation. Define Q := [IV ] ′ β . Then [T ] β β and [T ] ′ β′ satisfy the following relation [T ] ′ β′ = Q[T ] β βQ −1. Theorem 1.2. Let A be an n× n matrix. Then A is invertible if and only if det(A) 6= 0. Exercise 1.3. Let A be an n×n matrix with entries Aij, i,...
متن کاملthe effects of planning on accuracy and complexity of iranian efl students’ written narrative task performance
this study compared the different effects of form-focused guided planning vs. meaning-focused guided planning on iranian pre-intermediate students’ task performance. the study lasted for three weeks and concentrated on eight english structures. forty five pre-intermediate iranian students were randomly assigned to three groups of guided planning focus-on-form group (gpfg), guided planning focus...
15 صفحه اولذخیره 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: SIAM Journal on Numerical Analysis
سال: 1983
ISSN: 0036-1429,1095-7170
DOI: 10.1137/0720002