
ScaLAPACK
 Referenced in 407 articles
[sw00830]
 iterative refinement, for LU and Cholesky factorization, matrix inversion, fullrank linear least squares problems ... generalized orthogonal factorizations, orthogonal transformation routines, reductions to upper Hessenberg, bidiagonal and tridiagonal form, reduction ... solvers for LU, Cholesky, and QR, the matrix sign function for eigenproblems...

SparseMatrix
 Referenced in 646 articles
[sw04629]
 development and performance evaluation of sparse matrix algorithms. It allows for robust and repeatable experiments ... structural engineering, computational fluid dynamics, model reduction, electromagnetics, semiconductor devices, thermodynamics, materials, acoustics, computer graphics/vision...

Eigentaste
 Referenced in 60 articles
[sw12451]
 dense subset of the ratings matrix. PCA facilitates dimensionality reduction for offline clustering of users...

Rseslib
 Referenced in 14 articles
[sw30225]
 provides algorithms for discretization, discernibility matrix, reducts, decision rules and for other concepts of rough...

PHAT
 Referenced in 34 articles
[sw08780]
 into a reduced form by elementary matrix operations. PHAT focuses entirely on the latter step ... decouple the reduction strategy from the representation of the boundary matrix and the lowlevel ... query and manipulate it. We recap the reduction algorithms currently implemented in PHAT as well ... approach that transforms a column of the matrix into an intermediate data structure that...

Manopt
 Referenced in 97 articles
[sw08493]
 matrix completion, sensor network localization, camera network registration, independent component analysis, metric learning, dimensionality reduction...

BiCGstab
 Referenced in 125 articles
[sw04022]
 equations with a nonsingular n×n matrix are studied. The basis of these method ... second one is used for further reduction of the BiCG residue and for improving...

Polynomial Toolbox
 Referenced in 33 articles
[sw07237]
 coefficients are studied in the scalar and matrix case. New theoretical results are derived ... reduction algorithms are first described to study theoretical properties of the equations. Sylvester matrix algorithms...

BIONJ
 Referenced in 29 articles
[sw08301]
 these taxa, and reducing the distance matrix by replacing both taxa by this node. Moreover ... selection, from the class of admissible reductions ... reduction which minimizes the variance of the new distance matrix. In this way, we obtain ... conditions of evolution tested, the topological error reduction is on the average around 20%. With...

DGGHR3
 Referenced in 5 articles
[sw13050]
 Algorithms for Hessenbergtriangular reduction of Fiedler linearization of matrix polynomials. Small to mediumsized ... problems can be solved by linearizing the matrix polynomial and solving the resulting generalized eigenvalue ... turn, requires an initial reduction of a matrix pair to Hessenbergtriangular (HT) form ... software for HT reduction of a specific linearization of matrix polynomials of arbitrary degree...

DGGHRD
 Referenced in 5 articles
[sw13051]
 Algorithms for Hessenbergtriangular reduction of Fiedler linearization of matrix polynomials. Small to mediumsized ... problems can be solved by linearizing the matrix polynomial and solving the resulting generalized eigenvalue ... turn, requires an initial reduction of a matrix pair to Hessenbergtriangular (HT) form ... software for HT reduction of a specific linearization of matrix polynomials of arbitrary degree...

Isolde
 Referenced in 28 articles
[sw00458]
 reduction algorithm and sketch the link with the computation of a formal fundamental matrix solution...

profile wavefront
 Referenced in 16 articles
[sw20660]
 reduction of the profile and wavefront in a sparse matrix with symmetric structure. A complete...

na12
 Referenced in 28 articles
[sw11490]
 reduction for solving queueing problems. The cyclic reduction technique (Buzbee et al., 1970), rephrased ... stable, quadratically convergent method for solving the matrix equation X = ∑+ ∞ i=0 Xi Ai, where ... functional relations defining each step of cyclic reduction (Bini and Meini,1996). This new technique...

Algorithm 710
 Referenced in 3 articles
[sw13030]
 eigenvalues and eigenvectors of a general matrix by reduction to general tridiagonal form. This paper...

Ripser++
 Referenced in 1 article
[sw35629]
 efficiency and and up to 1.58x reduction in the amount of memory used ... filtration construction with clearing followed by matrix reduction. Ripser++ massively parallelizes the filtration construction with ... parallelism of finding ”apparent pairs” from matrix reduction all on GPU, leaving the computation ... submatrix reduction on the remaining nonapparent columns on CPU. By our empirical findings...

BABDCR
 Referenced in 6 articles
[sw04399]
 package performs cyclic reduction of the coefficient matrix in order to reduce the fill...

CholQR
 Referenced in 10 articles
[sw13049]
 dense matrix, the Cholesky QR (CholQR) requires only one global reduction between the parallel processing ... This is especially true when the input matrix is tallskinny. Unfortunately, the orthogonality error...

LTSmin
 Referenced in 18 articles
[sw07214]
 which speeds up slow state space generators), matrix regrouping (which can drastically reduce runtime ... memory consumption of symbolic algorithms), partial order reduction and linear temporal logic...

na8
 Referenced in 5 articles
[sw11513]
 given higher order transfer matrix is briefly described. The model reduction problem consists...