A structure-preserving one-sided Jacobi method for computing the SVD of a quaternion matrix

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

Computing the SVD of a quaternion matrix

The practical and accurate computation of the singular value decomposition of a quaternion matrix is of importance in vector signal processing using quaternions. We present a Jacobi algorithm for computing such an SVD, and discuss its utility and accuracy. The algorithm is included in an open-source Matlab toolbox for quaternions where it serves as an accurate reference implementation.

متن کامل

Parallel One - Sided Block - Jacobi Svd Algorithm

A new dynamic ordering is presented for the parallel one-sided block Jacobi SVD algorithm. Similarly to the two-sided variant, which has been analyzed and implemented in last 10 years, the dynamic ordering takes into account the actual status of a matrix—this time of its block columns with respect to their mutual orthogonality. Using p processors, in each parallel iteration step the p mostly in...

متن کامل

A Jacobi Method for Computing Generalized Hyperbolic SVD

In this paper, we introduce a joint hyperbolic-orthogonal decomposition of two matrices which we call a Generalized Hyperbolic SVD, or GHSVD. This decomposition can be used for nding the eigenvalues and eigenvectors of a symmetric indeenite pencil X T X ? Y T Y where = diag(1). We also present an implicit Jacobi-like method for computing this GHSVD.

متن کامل

Parallel Code for One-sided Jacobi-Method

One sided block Jacobi algorithm for the singular value decomposition (SVD) of matrix can be a method of choice to compute SVD efficiently and accurately in parallel. A given matrix is logically partitioned into block columns and is subjected to an iteration process. In each iteration step, for given two block columns, their Gram matrix is generated, its symmetric eigenvalue decomposition (EVD)...

متن کامل

Parallel One-Sided Block Jacobi SVD Algorithm: II. Implementation

This technical report is devoted to the description of implementation details of the accelerated parallel one-sided block Jacobi SVD algorithm, whose analysis and design was described in [21]. We provide discuss a suitable data layout for a parallel implementation of the algorithm on a parallel computer with distributed memory. This discussion is complicated by the fact that different computati...

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: Applied Numerical Mathematics

سال: 2020

ISSN: 0168-9274

DOI: 10.1016/j.apnum.2019.08.017