Parallel Implementation of a Symmetric Eigensolver Based on the Yau and Lu Method

نویسندگان

  • Stéphane Domas
  • Françoise Tisseur
چکیده

In this paper, we present preliminary results on a complete eigensolver based on the Yau and Lu method. We rst give an overview of this invariant subspace decomposition method for dense symmetric matrices followed by numerical results and work in progress of a distributed-memory implementation. We expect that the algorithm's heavy reliance on matrix-matrix multiplication, coupled with FFT should yield a highly parallelizable algorithm. We present performance results for the dominant computation kernel on the Intel Paragon.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Parallel Implementation of the Yau and Lu Method for Eigenvalue Computation

In this paper, parallel extensions of a complete symmetric eigensolver, proposed by Yau and Lu in ' l 993' are pre' sented. First, an overview of this invariant subspace decomposition method for dense symmetric matrices is g iven, fo l lowed by numer ical resul ts . Then' works are exposed in progress on distributed-memory implementation. The algorithm's heavy reliance on matrix-matrix multipli...

متن کامل

An efficient implementation of parallel eigenvalue computation for massively parallel processing

This article describes an e cient implementation and evaluation of a parallel eigensolver for computing all eigenvalues of dense symmetric matrices. Our eigensolver uses a Householder tridiagonalization method, which has higher parallelism and performance than conventional methods when problem size is relatively small, e.g. the order of 10,000. This is very important for relevant practical appl...

متن کامل

Towards a Parallel Multilevel Preconditioned Maxwell Eigensolver

We report on a parallel implementation of the Jacobi–Davidson (JD) to compute a few eigenpairs of a large real symmetric generalized matrix eigenvalue problem

متن کامل

A new CPA resistant software implementation for symmetric ciphers with smoothed power consumption: SIMON case study

In this paper we propose a new method for applying hiding countermeasure against CPA attacks. This method is for software implementation, based on smoothing power consumption of the device. This method is evaluated on the SIMON scheme as a case study; however, it is not relying on any specific SIMON features. Our new method includes only AND equivalent and XOR equivalent operations since every ...

متن کامل

A Parallel Implementation of the Trace Minimization Eigensolver

In this paper we describe a parallel implementation of the trace minimization method for symmetric generalized eigenvalue problems proposed by Sameh and Wisniewski. The implementation includes several techniques proposed in a later article of Sameh, such as multishifting, preconditioning and adaptive inner solver termination, which accelerate the method and make it much more robust. A Davidson-...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996