نتایج جستجو برای: matrix operations

تعداد نتایج: 494894  

1995
James S. Plank Youngbae Kim Jack J. Dongarra

This paper is an exploration of diskless checkpointing for distributed scienti c computations. With the widespread use of the \Network Of Workstation" (NOW) platform for distributed computing, long-running scienti c computations need to tolerate the changing and often faulty nature of NOW environments. We present high-performance implementations of several algorithms for distributed scienti c c...

1996
Arne Storjohann George Labahn

This paper presents a new algorithm for computing the Hermite normal form H of an A ∈ Z n×m of rank m together with a unimodular pre-multiplier matrix U such that UA = H. Our algorithm requires O (̃mnM(m log ||A||)) bit operations to produce both H and a candidate for U . Here, ||A|| = maxij |Aij |, M(t) bit operations are sufficient to multiply two dte-bit integers, and θ is the exponent for ma...

2010
LENNART JOHNSSON

Algorithms for matrix multiplication and for Gauss-Jordan and Gaussian elimination on dense matrices on a torus and a boolean cube are presented and analyzed with respect to communication and arithmetic complexity. The number of elements of the matrices is assumed to be larger than the number of nodes in the processing system. The algorithms for matrix multiplication, triangulation, and forward...

2007
Samuel W. Williams John Shalf Leonid Oliker Parry Husbands Katherine Yelick Samuel Williams

The slowing pace of commodity microprocessor performance improvements combined with ever-increasing chip power demands has become of utmost concern to computational scientists. Therefore, the high performance computing community is examining alternative architectures that address the limitations of modern superscalar designs. In this work, we examine STI’s forthcoming Cell processor: a novel, l...

2011
Junichiro Makino Hiroshi Daisaka Toshiyuki Fukushige Yutaka Sugawara Mary Inaba Kei Hiraki

1994
Victor Eijkhout

We propose extensions of the classical row compressed storage format for sparse matrices. The extensions are designed to accomodate distributed storage of the matrix. We outline an implementation of the matrix-vector product using this distributed storage format, and give algorithms for building and using the communication structure between processors.

Journal: :IJHPCA 2014
Dahai Guo William Gropp

The streamed storage format for sparse matrices showed good performance improvement for sparse matrix and vector multiply (SpMV) compared with compressed sparse row (CSR) and block CSR (BCSR) formats, particularly on IBM Power processors. We extend the format to exploit single instruction multiple data (SIMD) instructions in order to utilize the vector unit, and discuss how the streamed formats...

2012
T. N. Janakiraman P. V. S. S. R. Chandra Mouli

A color image edge detection algorithm is proposed in this paper using Pseudo-complement and matrix rotation operations. First, pseudo-complement method is applied on the image for each channel. Then, matrix operations are applied on the output image of the first stage. Dominant pixels are obtained by image differencing between the pseudo-complement image and the matrix operated image. Median f...

2002
Mostafa I. Soliman Stanislav G. Sedukhin

Within a few years it will be possible to integrate a billion transistors on a single chip. At this integration level, we propose using a high level ISA to express parallelism to hardware instead of using a huge transistor budget to dynamically extract it. Since the fundamental data structures for a wide variety of applications are scalar, vector, and matrix, our proposed Trident processor exte...

2004
Varun Aggarwal Robert M. MacCallum

Predicting the three-dimensional structure of proteins is a hard problem, so many have opted instead to predict the secondary structural state (usually helix, strand or coil) of each amino acid residue. This should be an easier task, but it now seems that a ceiling of around 76% per-residue three-state accuracy has been reached. Further improvements will require the correct processing of so-cal...

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