A fast recursive orthogonalization scheme for the Macaulay matrix

نویسندگان
چکیده

برای دانلود رایگان 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

A fast recursive orthogonalization scheme for the Macaulay matrix

In this article we present a fast recursive orthogonalization scheme for two important subspaces of the Macaulay matrix: its row space and null space. It requires a graded monomial ordering and exploits the resulting structure of the Macaulay matrix induced by this graded ordering. The resulting orthogonal basis for the row space will retain a similar structure as the Macaulay matrix and is as ...

متن کامل

Recursive Array Layouts and Fast Matrix Multiplication

The performance of both serial and parallel implementations of matrix multiplication is highly sensitive to memory system behavior. False sharing and cache con icts cause traditional columnmajor or row-major array layouts to incur high variability in memory system performance as matrix size varies. This paper investigates the use of recursive array layouts to improve performance and reduce vari...

متن کامل

Fast recursive matrix multiplication for multi-core architectures

In this article, we present a fast algorithm for matrix multiplication optimized for recent multicore architectures. The implementation exploits different methodologies from parallel programming, like recursive decomposition, efficient low-level implementations of basic blocks, software prefetching, and task scheduling resulting in a multilevel algorithm with adaptive features. Measurements on ...

متن کامل

A Setting for Generalized Orthogonalization

Let H be a complex Hilbert space. We study the geometry of the space of pairs (A,E), for A a (semidefinite bounded linear) positive operator on H and E a (bounded linear) projection on H such that AE = E∗A. Departamento de Matemática, Facultad de Ingenieŕıa,UBA, Buenos Aires(C1063ACV), Argentina; Instituto Argentino de Matemática CONICET, Saavedra 15, Buenos Aires (1083), Argentina. E-mail addr...

متن کامل

Recursive Algorithms for the Matrix Padé Problem

Abstract. A matrix triangularization interpretation is given for the recursive algorithms computing the Padé approximants along a certain path in the Padé table, which makes it possible to unify all known algorithms in this field [5], [6]. For the normal Padé table, all these results carry over to the matrix Padé problem in a straightforward way. Additional features, resulting from the noncommu...

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: Journal of Computational and Applied Mathematics

سال: 2014

ISSN: 0377-0427

DOI: 10.1016/j.cam.2014.01.035