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Algorithm 938: Compressing circular buffers
ACM Transactions on Mathematical Software (TOMS), Volume 40, Issue 2Article No.: 17, Pages 1–12https://doi.org/10.1145/2559995Data sequences generated by on-line sensors can become arbitrarily large and must, therefore, be pared down to fit into available memory. For situations where only the most recent data is of interest, this problem can be solved with optimal efficiency ...
Algorithm 892: DISPMODULE, a Fortran 95 module for pretty-printing matrices
ACM Transactions on Mathematical Software (TOMS), Volume 36, Issue 1Article No.: 6, Pages 1–7https://doi.org/10.1145/1486525.1486531A standard Fortran 95 module for printing scalars, vectors, and matrices to external files is provided. The module can display variables of default kind of all intrinsic types (integer, real, complex, logical, and character), and add-on modules are ...
- research-articleMarch 2009
Data structures and requirements for hp finite element software
ACM Transactions on Mathematical Software (TOMS), Volume 36, Issue 1Article No.: 4, Pages 1–31https://doi.org/10.1145/1486525.1486529Finite element methods approximate solutions of partial differential equations by restricting the problem to a finite dimensional function space. In hp adaptive finite element methods, one defines these discrete spaces by choosing different polynomial ...
- articleMarch 2007
Using dense storage to solve small sparse linear systems
ACM Transactions on Mathematical Software (TOMS), Volume 33, Issue 1Pages 5–eshttps://doi.org/10.1145/1206040.1206045A data structure is used to build a linear solver specialized for relatively small sparse systems. The proposed solver, optimized for run-time performance at the expense of memory footprint, outperforms widely used direct and sparse solvers for systems ...
- articleSeptember 2006
An out-of-core sparse symmetric-indefinite factorization method
ACM Transactions on Mathematical Software (TOMS), Volume 32, Issue 3Pages 445–471https://doi.org/10.1145/1163641.1163645We present a new out-of-core sparse symmetric-indefinite factorization algorithm. The most significant innovation of the new algorithm is a dynamic partitioning method for the sparse factor. This partitioning method results in very low I/O traffic and ...
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- articleMarch 2004
The design and implementation of a new out-of-core sparse cholesky factorization method
ACM Transactions on Mathematical Software (TOMS), Volume 30, Issue 1Pages 19–46https://doi.org/10.1145/974781.974783We describe a new out-of-core sparse Cholesky factorization method. The new method uses the elimination tree to partition the matrix, an advanced subtree-scheduling algorithm, and both right-looking and left-looking updates. The implementation of the ...
- articleSeptember 2001
Compression of particle data from hierarchical approximate methods
ACM Transactions on Mathematical Software (TOMS), Volume 27, Issue 3Pages 317–339https://doi.org/10.1145/502800.502802This article presents an analytical and computational framework for the compression of particle data resulting from hierarchical approximate treecodes such as the Barnes--Hut and Fast Multipole Methods. Due to approximations introduced by hierarchical ...
- articleJune 1998
The automatic generation of sparse primitives
ACM Transactions on Mathematical Software (TOMS), Volume 24, Issue 2Pages 190–225https://doi.org/10.1145/290200.287636Primitives in mathematical software are usually written and optimized by hand. With the implementation of a “sparse compiler” that is capable of automatically converting a dense program into sparse code, however, a completely different approach to the ...
- articleDecember 1994
A data-level parallel linear-quadratic penalty algorithm for multicommodity network flows
ACM Transactions on Mathematical Software (TOMS), Volume 20, Issue 4Pages 531–552https://doi.org/10.1145/198429.198439We describe the development of a data-level, massively parallel, software system for the solution of multicommodity network flow problems. Using a smooth linear-quadratic penalty (LQP) algorithm we transform the multicommodity network flow problem into a ...
Algorithm 727: Quantile estimation using overlapping batch statistics
ACM Transactions on Mathematical Software (TOMS), Volume 20, Issue 1Pages 100–102https://doi.org/10.1145/174603.174412An efficient algorithm for estimating the qth quantile of a set of n data points is introduced. The standard error of the quantile estimate is estimated using overlapping batch statistics. A driver program is included.
- articleMarch 1991
On finding the closest bitwise matches in a fixed set
ACM Transactions on Mathematical Software (TOMS), Volume 17, Issue 1Pages 88–97https://doi.org/10.1145/103147.103157In a given large fixed table of bit-vectors, we would like to find, as rapidly as possible, those bit-vectors which have the least Hamming distances from a newly-presented arbitrary bit-vector.
- articleJune 1989
Algorithm 674: Fortran codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
ACM Transactions on Mathematical Software (TOMS), Volume 15, Issue 2Page 168https://doi.org/10.1145/63522.214391We omitted giving this article an ACM algorithm number when it was first published in its entirety in the December 1988 issue of TOMS, Vol. 14, No. 4, pp. 381–396. To correct this, we do so here, and reprint the title as a pointer to the original ...
Algorithm 673: Dynamic Huffman coding
ACM Transactions on Mathematical Software (TOMS), Volume 15, Issue 2Pages 158–167https://doi.org/10.1145/63522.214390We present a Pascal implementation of the one-pass algorithm for constructing dynamic Huffman codes that is described and analyzed in a companion paper. The program runs in real time; that is, the processing time for each letter of the message is ...
- articleMarch 1986
A node-addition model for symbolic factorization
ACM Transactions on Mathematical Software (TOMS), Volume 12, Issue 1Pages 37–50https://doi.org/10.1145/5960.5963A symbolic node-addition model for matrix factorization of symmetric positive definite matrices is described. In this model, the nodes are added onto the filled graph one at a time. The advantage of the node-addition model is its simplicity and ...