
LAPACK
 Referenced in 1713 articles
[sw00503]
 possible performance, LAPACK requires that highly optimized block matrix operations be already implemented on each ... matrix multiplication and the solution of triangular systems with multiple righthand sides. Because...

KLU
 Referenced in 16 articles
[sw06365]
 relies on a permutation to Block Triangular Form (BTF), several methods for finding a fill ... looking LU factorization algorithm to factorize each block. The package is written...

Daesa
 Referenced in 13 articles
[sw14290]
 tool. It also can construct a blocktriangular form of the DAE, which ... exploited to solve it efficiently in a blockwise manner. This paper describes the theory...

PurityFiltration
 Referenced in 10 articles
[sw07656]
 which is defined by a blocktriangular matrix formed by equidimensional diagonal blocks. The linear...

SCASY
 Referenced in 12 articles
[sw03251]
 ways of introducing blocking for solving matrix equations in reduced (quasitriangular) form are reviewed ... successful approach is to combine recursion and blocking. We consider parallelization of algorithms for reduced ... solution to the reduced triangular systems. Parallelization of recursive blocked algorithms is done...

LIFT
 Referenced in 3 articles
[sw25813]
 nested decomposition algorithm for solving lower block triangular linear programs. The lower block triangular structure...

recsy
 Referenced in 8 articles
[sw04139]
 ways of introducing blocking for solving matrix equations in reduced (quasitriangular) form are reviewed ... successful approach is to combine recursion and blocking. We consider parallelization of algorithms for reduced ... solution to the reduced triangular systems. Parallelization of recursive blocked algorithms is done...

SuiteSparseQR
 Referenced in 45 articles
[sw07348]
 handled with Intel’s Threading Building Blocks library. The symbolic analysis and ordering phase ... where R11 is upper triangular with diagonal entries above a given tolerance. Next, the fill...

RRQR
 Referenced in 22 articles
[sw04673]
 matrices. The main contribution is an efficient block algorithm for approximating an RRQR factorization, employing ... improved versions of the RRQR algorithms for triangular matrices orginally suggersted by Chandrasekaran and Ipsen...

MFEM
 Referenced in 62 articles
[sw09043]
 finite element toolbox, that provides the building blocks for developing finite element algorithms ... classes for dealing with various types of triangular, quadrilateral, tetrahedral and hexahedral meshes and their...

ManiSolve
 Referenced in 1 article
[sw34623]
 that its Jacobian is in bordered block lower triangular form with small diagonal blocks...

DGGHR3
 Referenced in 7 articles
[sw13050]
 reduction of a matrix pair to Hessenbergtriangular (HT) form. In this paper, we discuss ... prototype implementation DGGHR3 of a general blocked algorithm...

DGGHRD
 Referenced in 7 articles
[sw13051]
 reduction of a matrix pair to Hessenbergtriangular (HT) form. In this paper, we discuss ... prototype implementation DGGHR3 of a general blocked algorithm...

toms/782
 Referenced in 22 articles
[sw05211]
 above)]. The main contribution is an efficient block algorithm for approximating an RRQR factorization, employing ... improved versions of the RRQR algorithms for triangular matrices originally suggested by {it S. Chandrasekaran...

Algorithm 865
 Referenced in 2 articles
[sw20200]
 They exploit cache memory by using the block hybrid format proposed by the authors ... rearranging a matrix whose upper or lowertriangular part is packed by columns to this ... Cholesky factorization of the diagonal blocks since it is suitable for any positivedefinite symmetric...

LIBRSB
 Referenced in 0 articles
[sw40544]
 sparse matrix computations featuring the Recursive Sparse Blocks (RSB) matrix format. This format allows cache ... matrixvector multiplication, triangular solution, rows/columns scaling, diagonal extraction / setting, blocks extraction, norm computation, formats...

randUTV
 Referenced in 4 articles
[sw30518]
 randUTV: a blocked randomized algorithm for computing a rankrevealing UTV factorization. A randomized algorithm ... have orthonormal columns, and T is triangular (either upper or lower, whichever is preferred...

swSpTRSV
 Referenced in 2 articles
[sw30964]
 level tile layout on Sunway architectures. Sparse triangular solve (SpTRSV) is one of the most ... core processor, which is the main buildingblock of the current world fastest supercomputer Sunway...

ANSYS
 Referenced in 713 articles
[sw00044]
 ANSYS offers a comprehensive software suite that spans...