Mixed and component wise condition numbers for weighted Moore-Penrose inverse and weighted least squares problems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On mixed and componentwise condition numbers for Moore-Penrose inverse and linear least squares problems

Classical condition numbers are normwise: they measure the size of both input perturbations and output errors using some norms. To take into account the relative of each data component, and, in particular, a possible data sparseness, componentwise condition numbers have been increasingly considered. These are mostly of two kinds: mixed and componentwise. In this paper, we give explicit expressi...

متن کامل

On Mixed and Componentwise Condition Numbers for Moore-Penrose Inverse and Linear Least Square Problems

In this talk, we discuss the maximum number of n × n pure imaginary quaternionic solutions to the Hurwitz matrix equations given by T i T * j + T j T Abstract Let T be a bounded linear operator on a complex Hilbert space H. For 0 ≤ q ≤ 1, the

متن کامل

On condition numbers for Moore-Penrose inverse and linear least squares problem involving Kronecker products

1School of Mathematics and Statistics, Key Laboratory for Applied Statistics of MOE, Northeast Normal University, Chang Chun 130024, China 2School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, China 3School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, China 4Department of Computing and Softw...

متن کامل

The M–matrix Moore–Penrose inverse problem for weighted paths

Abstract. A well–known property of an irreducible non–singular M–matrix is that its inverse is non–negative. However, when the matrix is an irreducible and singular M–matrix it is known that it has a generalized inverse which is non–negative, but this is not always true for any generalized inverse. We focus here in characterizing when the Moore–Penrose inverse of a symmetric, singular, irreduci...

متن کامل

Effective partitioning method for computing weighted Moore-Penrose inverse

We introduce a method and algorithm for computing the weighted MoorePenrose inverse of multiple-variable polynomial matrix and the related algorithm which is appropriated for sparse polynomial matrices. These methods and algorithms are generalizations of algorithms developed in [24] to multiple variable rational and polynomial matrices and improvements of these algorithms on sparse matrices. Al...

متن کامل

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: Filomat

سال: 2009

ISSN: 0354-5180,2406-0933

DOI: 10.2298/fil0901043z