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A Note on Strongly Dense Matrices
In this note, strongly dense matrices are defined and some basic properties matrices, the product of conformable strongly dense matrices is strongly dense. Structural characterizations are present...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Ranks of dense alternating sign matrices and their sign patterns
In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined. Some related resu...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Dense alternating sign matrices and extensions
In this paper, some connections of dense alternating sign matrices with total unimodularity, combined matrices, and generalized complementary basic matrices are explored....
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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THE ENERGY CONSUMPTION OPTIMIZATION OF THE BLAS ROUTINES
The paper deals with the energy consumption evaluation of selected Sparse and Dense BLAS Level 1, 2 and 3 routines. We have employed AXPY, Sparse Matrix-Vector, Sparse Matrix-Matrix, Dense Matrix-...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2017 •
- D •
- Link
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D - Stať ve sborníku
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SPARSE STRETCHING FOR SOLVING SPARSE-DENSE LINEAR LEAST-SQUARES PROBLEMS
applications. In some cases, the system matrix contains a small number of dense rows the direct applicability of sparse matrix techniques. In particular, the normal matrix is (close to) dense, making a Ch...
Applied mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Multilayer Approach for Joint Direct and Transposed Sparse Matrix Vector Multiplication for Multithreaded CPUs
One of the most common operations executed on modern high-perfor-mance computing systems is multiplication of a sparse matrix by a dense vector within a shared-memory computational node. Strongly related but far less studie...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2018 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Combination of Neutronography and Radiography for the Characterization of Light Material Distribution in a Dense Material Matrix
Neutronography and radiography are complementary methods from the point of view of the visibility and contrast of the material imaged. Neutronography is the suitable tool for the observation of light material penetration into a dense materia...
BM - Fyzika pevných látek a magnetismus
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
SOLVING MIXED SPARSE-DENSE LINEAR LEAST-SQUARES PROBLEMS BY PRECONDITIONED ITERATIVE METHODS
with the factorization of a dense matrix of size equal to the number of dense rows. Numerical the system matrix A contains rows with very different densities is challenging. Previous dense rows. These row...
Applied mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Some graph theoretic properties of generalized complementary basic matrices
This paper investigates graph theoretic properties of the generalized complementary basic matrices. These include cyclic properties, Hamiltonian properties, block connected properties, and minimal strongly connected digraph properties....
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A Schur complement approach to preconditioning sparse linear least-squares problems with some dense rows
The effectiveness of sparse matrix techniques for directly solving large-scale linear least-squares problems is severely limited if the system matrix A has one or more nearly dense rows. In this paper, we partition the rows...
Applied mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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