IEEE Transactions on Microwave Theory and Techniques, ISSN 0018-9480, 11/2014, Volume 62, Issue 11, pp. 2574 - 2582

An experimental approach to investigate the forward scattering sum rule for periodic structures is presented. This approach allows an upper bound on the total...

positive real (PR) functions | metamaterials | sum rule | Optical waveguide theory | optical theorem | parallel-plate waveguide | Optical polarization | periodic structure | Convex optimization | forward scattering | Optical scattering | Periodic structures | Optical surface waves | PHYSICAL LIMITATIONS | ANTENNAS | ENGINEERING, ELECTRICAL & ELECTRONIC | BOUNDS | SCATTERING | Measurement | Usage | Innovations | Bandwidth | Waveguides | Convex functions | Mathematical optimization | Wavelength | Waves and Signals | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences | Vågor och signaler

positive real (PR) functions | metamaterials | sum rule | Optical waveguide theory | optical theorem | parallel-plate waveguide | Optical polarization | periodic structure | Convex optimization | forward scattering | Optical scattering | Periodic structures | Optical surface waves | PHYSICAL LIMITATIONS | ANTENNAS | ENGINEERING, ELECTRICAL & ELECTRONIC | BOUNDS | SCATTERING | Measurement | Usage | Innovations | Bandwidth | Waveguides | Convex functions | Mathematical optimization | Wavelength | Waves and Signals | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences | Vågor och signaler

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 10/2017, Volume 65, Issue 10, pp. 2114 - 2123

In this note, I gather different definitions of the parallel sum of matrices, including the ones which work in infinite dimension as well. I describe the...

projections | 15-02 | replus | 15A24 | 15B99 | 15A39 | Parallel sum | 15B57 | Hermitian semi-definite matrices | MATHEMATICS | Inequalities

projections | 15-02 | replus | 15A24 | 15B99 | 15A39 | Parallel sum | 15B57 | Hermitian semi-definite matrices | MATHEMATICS | Inequalities

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2012, Volume 20, Issue 2, pp. 307 - 330

We propose a primal-dual splitting algorithm for solving monotone inclusions involving a mixture of sums, linear compositions, and parallel sums of set-valued...

Monotone inclusion | Nonsmooth convex optimization | Mathematics | Maximal monotone operator | Geometry | 90C25 | Analysis | Splitting algorithm | 49M29 | 49M27 | 49N15 | Parallel sum | 47H05 | Set-valued duality | MATHEMATICS, APPLIED | STABILITY | DECOMPOSITION | PROXIMAL POINT ALGORITHM | VARIATIONAL-INEQUALITIES | RECOVERY | MINIMIZATION | MAPPINGS | Algorithms | Optimization and Control

Monotone inclusion | Nonsmooth convex optimization | Mathematics | Maximal monotone operator | Geometry | 90C25 | Analysis | Splitting algorithm | 49M29 | 49M27 | 49N15 | Parallel sum | 47H05 | Set-valued duality | MATHEMATICS, APPLIED | STABILITY | DECOMPOSITION | PROXIMAL POINT ALGORITHM | VARIATIONAL-INEQUALITIES | RECOVERY | MINIMIZATION | MAPPINGS | Algorithms | Optimization and Control

Journal Article

IEEE Transactions on Signal Processing, ISSN 1053-587X, 03/2016, Volume 64, Issue 6, pp. 1369 - 1382

A two-way active parallel channel refers to a communication link between two transceivers, where the subchannel gains between the two transceivers can be...

reciprocal channel | Noise | Receivers | power allocation | Transceivers | Optical transmitters | Relays | two-way channels | sum-rate maximization | non-reciprocal channel | MIMO | Active channel | bi-directional channel | Resource management | parallel channel | INFORMATION | RELAY NETWORKS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | MIMO communications | Rodents | Communication | Maximization | Adjustment | Mathematical analysis | Transaction processing | Channels | Gain | Optimization

reciprocal channel | Noise | Receivers | power allocation | Transceivers | Optical transmitters | Relays | two-way channels | sum-rate maximization | non-reciprocal channel | MIMO | Active channel | bi-directional channel | Resource management | parallel channel | INFORMATION | RELAY NETWORKS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | MIMO communications | Rodents | Communication | Maximization | Adjustment | Mathematical analysis | Transaction processing | Channels | Gain | Optimization

Journal Article

IEEE Transactions on Signal Processing, ISSN 1053-587X, 06/2014, Volume 62, Issue 12, pp. 3165 - 3179

Polar codes have recently received a lot of attention because of their capacity-achieving performance and low encoding and decoding complexity. The performance...

successive cancellation decoding | Computer architecture | Signal processing | Partial sum | Hardware | VLSI decoder architectures | Complexity theory | Delays | polar codes | Maximum likelihood decoding | semi-parallel decoder | SUCCESSIVE-CANCELLATION DECODER | ENGINEERING, ELECTRICAL & ELECTRONIC | Application-specific integrated circuits | Usage | Custom integrated circuits | Maximum likelihood estimates (Statistics) | Chaos theory | Analysis | Critical path | Codes

successive cancellation decoding | Computer architecture | Signal processing | Partial sum | Hardware | VLSI decoder architectures | Complexity theory | Delays | polar codes | Maximum likelihood decoding | semi-parallel decoder | SUCCESSIVE-CANCELLATION DECODER | ENGINEERING, ELECTRICAL & ELECTRONIC | Application-specific integrated circuits | Usage | Custom integrated circuits | Maximum likelihood estimates (Statistics) | Chaos theory | Analysis | Critical path | Codes

Journal Article

Chemical reviews, ISSN 0009-2665, 08/2019, Volume 119, Issue 16, pp. 9427 - 9477

The founding in 1965 of what is now called the Cambridge Structural Database (CSD) has reaped dividends in numerous and diverse areas of chemical research....

POWDER DIFFRACTION DATA | ANION-PI INTERACTIONS | DOT-F INTERACTIONS | METAL-ORGANIC FRAMEWORKS | SOLID-FORM INFORMATICS | PARALLEL STACKING INTERACTIONS | INTERMOLECULAR INTERACTION ENERGIES | INTRAMOLECULAR HYDROGEN-BONDS | NONBONDED CONTACT DISTANCES | X-RAY | CHEMISTRY, MULTIDISCIPLINARY | Thin films | Garbage | Organic chemistry | Databases | Molecular interactions | Machine learning | Data bases | Crystal structure

POWDER DIFFRACTION DATA | ANION-PI INTERACTIONS | DOT-F INTERACTIONS | METAL-ORGANIC FRAMEWORKS | SOLID-FORM INFORMATICS | PARALLEL STACKING INTERACTIONS | INTERMOLECULAR INTERACTION ENERGIES | INTRAMOLECULAR HYDROGEN-BONDS | NONBONDED CONTACT DISTANCES | X-RAY | CHEMISTRY, MULTIDISCIPLINARY | Thin films | Garbage | Organic chemistry | Databases | Molecular interactions | Machine learning | Data bases | Crystal structure

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 12/2016, Volume 327, pp. 629 - 642

We introduce an accurate and efficient method for the numerical evaluation of nonlocal potentials, including the 3D/2D Coulomb, 2D Poisson and 3D dipole–dipole...

Singular correction integral | Convolution integral | Coulomb/Poisson/dipole–dipole potential | Separable Gaussian-sum approximation | Nonlocal potential solver | NUMERICAL-METHODS | COULOMB | SCHRODINGER-EQUATION | KRONECKER-PRODUCT APPROXIMATION | PHYSICS, MATHEMATICAL | COMPUTING GROUND-STATES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NONUNIFORM FFT | DYNAMICS | LONG-RANGE INTERACTIONS | Coulomb/Poisson/dipole-dipole potential | Anisotropy | Decay rate | Approximation | Dipoles | Approximations | Digits | Density | Spectral methods | Studies | Accuracy | Convolution | Normal distribution | Efficiency | Mathematical analysis | Integrals | Parallel processing | Computational physics | Fast Fourier transformations

Singular correction integral | Convolution integral | Coulomb/Poisson/dipole–dipole potential | Separable Gaussian-sum approximation | Nonlocal potential solver | NUMERICAL-METHODS | COULOMB | SCHRODINGER-EQUATION | KRONECKER-PRODUCT APPROXIMATION | PHYSICS, MATHEMATICAL | COMPUTING GROUND-STATES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NONUNIFORM FFT | DYNAMICS | LONG-RANGE INTERACTIONS | Coulomb/Poisson/dipole-dipole potential | Anisotropy | Decay rate | Approximation | Dipoles | Approximations | Digits | Density | Spectral methods | Studies | Accuracy | Convolution | Normal distribution | Efficiency | Mathematical analysis | Integrals | Parallel processing | Computational physics | Fast Fourier transformations

Journal Article

Computer Physics Communications, ISSN 0010-4655, 06/2013, Volume 184, Issue 6, pp. 1490 - 1496

In this paper, we present a GPU-accelerated direct-sum boundary integral method to solve the linear Poisson–Boltzmann (PB) equation. In our method, a...

Poisson–Boltzmann | Boundary integral | Graphic processing units (GPU) | Parallel computing | Electrostatics | Poisson-Boltzmann | MOLECULAR-DYNAMICS | ALGORITHM | PHYSICS, MATHEMATICAL | MULTIPOLE-METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ELEMENT SOLUTION | SURFACE | FORCES | COMPUTATION | EQUATION | EFFICIENT

Poisson–Boltzmann | Boundary integral | Graphic processing units (GPU) | Parallel computing | Electrostatics | Poisson-Boltzmann | MOLECULAR-DYNAMICS | ALGORITHM | PHYSICS, MATHEMATICAL | MULTIPOLE-METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ELEMENT SOLUTION | SURFACE | FORCES | COMPUTATION | EQUATION | EFFICIENT

Journal Article

Concurrency and Computation: Practice and Experience, ISSN 1532-0626, 02/2016, Volume 28, Issue 2, pp. 492 - 516

Heterogeneous CPU‐GPU system is a powerful way to accelerate compute‐intensive applications, such as the subset‐sum problem. Many parallel algorithms for...

CUDA | CPU‐GPU cooperative computing | knapsack problem | parallel | subset‐sum problem | two‐list | algorithm | subset-sum problem | CPU-GPU cooperative computing | parallel two-list algorithm | COMPUTER SCIENCE, SOFTWARE ENGINEERING | 2-LIST ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | KNAPSACK-PROBLEM | Data transfer (computers) | Tasks | Balancing | Computation | Concurrency | Graphics processing units | Central processing units | Workload

CUDA | CPU‐GPU cooperative computing | knapsack problem | parallel | subset‐sum problem | two‐list | algorithm | subset-sum problem | CPU-GPU cooperative computing | parallel two-list algorithm | COMPUTER SCIENCE, SOFTWARE ENGINEERING | 2-LIST ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | KNAPSACK-PROBLEM | Data transfer (computers) | Tasks | Balancing | Computation | Concurrency | Graphics processing units | Central processing units | Workload

Journal Article

Afrika Matematika, ISSN 1012-9405, 11/2018, Volume 29, Issue 7-8, pp. 1081 - 1090

We study the concept of parallel sum of positive adjointable operators on a Hilbert C∗-module and present several characterizations for that. Moreover we show...

Hilbert C | Positive adjointable operator | Parallel sum | module | Operators | Infimum

Hilbert C | Positive adjointable operator | Parallel sum | module | Operators | Infimum

Journal Article

Concurrency and Computation: Practice and Experience, ISSN 1532-0626, 01/2016, Volume 28, Issue 1, pp. 95 - 113

We present an algorithm to solve the subset‐sum problem (SSP) of capacity c and n items with weights w i ,1≤ i ≤ n , spending O ( n ( m − w min )/ p ) time and...

parallel algorithms | knapsack problem | GPU | subset‐sum problem | subset-sum problem | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPUTER SCIENCE, THEORY & METHODS | KNAPSACK-PROBLEM | Algorithms | Mathematical models | Computation | Concurrency | Processors | Graphics processing units

parallel algorithms | knapsack problem | GPU | subset‐sum problem | subset-sum problem | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPUTER SCIENCE, THEORY & METHODS | KNAPSACK-PROBLEM | Algorithms | Mathematical models | Computation | Concurrency | Processors | Graphics processing units

Journal Article

Kyushu Journal of Mathematics, ISSN 1340-6116, 2017, Volume 71, Issue 2, pp. 387 - 405

For invertible bounded positive operators a, b the operator a : b = (a−1 + b−1)−1 is known as the parallel sum. In this article a theory of parallel sums of...

positive self-adjoint operator | parallel sum | positive form | quadratic form | Positive self-adjoint operator | Parallel sum | Quadratic form | Positive form | MATHEMATICS | Operators

positive self-adjoint operator | parallel sum | positive form | quadratic form | Positive self-adjoint operator | Parallel sum | Quadratic form | Positive form | MATHEMATICS | Operators

Journal Article

The Journal of Supercomputing, ISSN 0920-8542, 4/2018, Volume 74, Issue 4, pp. 1510 - 1521

Row-wise and column-wise prefix-sum computation of a matrix has many applications in the area of image processing such as computation of the summed area table...

Processor Architectures | CUDA | Parallel algorithm | Programming Languages, Compilers, Interpreters | Computer Science | Computer Science, general | Prefix computation | GPU | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | COMPUTER SCIENCE, THEORY & METHODS | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer science | Algorithms | Computer memory | Euclidean geometry | Image processing | Computation | Matrices (mathematics) | Sums

Processor Architectures | CUDA | Parallel algorithm | Programming Languages, Compilers, Interpreters | Computer Science | Computer Science, general | Prefix computation | GPU | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | COMPUTER SCIENCE, THEORY & METHODS | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer science | Algorithms | Computer memory | Euclidean geometry | Image processing | Computation | Matrices (mathematics) | Sums

Journal Article

Concurrency and Computation: Practice and Experience, ISSN 1532-0626, 01/2015, Volume 27, Issue 1, pp. 119 - 145

The subset‐sum problem is a well‐known non‐deterministic polynomial‐time complete (NP‐complete) decision problem. This paper proposes a novel and efficient...

CUDA | knapsack problem | parallel | subset‐sum problem | GPU implementation | two‐list | algorithm | Parallel two-list algorithm | Subset-sum problem | Knapsack problem | COMPUTER SCIENCE, SOFTWARE ENGINEERING | subset-sum problem | COMPUTER SCIENCE, THEORY & METHODS | MEMORY CONFLICTS | parallel two-list algorithm | KNAPSACK-PROBLEM | Algorithms | Searching | Graphics processing units | Pruning | Central processing units | Devices | Recursion | Cost engineering

CUDA | knapsack problem | parallel | subset‐sum problem | GPU implementation | two‐list | algorithm | Parallel two-list algorithm | Subset-sum problem | Knapsack problem | COMPUTER SCIENCE, SOFTWARE ENGINEERING | subset-sum problem | COMPUTER SCIENCE, THEORY & METHODS | MEMORY CONFLICTS | parallel two-list algorithm | KNAPSACK-PROBLEM | Algorithms | Searching | Graphics processing units | Pruning | Central processing units | Devices | Recursion | Cost engineering

Journal Article

Algorithms, ISSN 1999-4893, 2017, Volume 10, Issue 1, p. 5

We present efficient sequential and parallel algorithms for the maximum sum (MS) problem, which is to maximize the sum of some shape in the data array. We deal...

Maximum convex sum | Parallel algorithm | Maximum sub-array | Parallel processing | Algorithms | Convexity | Maxima | maximum convex sum | parallel algorithm | maximum sub-array

Maximum convex sum | Parallel algorithm | Maximum sub-array | Parallel processing | Algorithms | Convexity | Maxima | maximum convex sum | parallel algorithm | maximum sub-array

Journal Article

Parallel Computing, ISSN 0167-8191, 11/2015, Volume 49, pp. 179 - 193

Sparse matrix-vector multiplication (SpMV) is a central building block for scientific software and graph applications. Recently, heterogeneous processors...

Heterogeneous processors | Sparse matrix-vector multiplication | Speculative execution | Segmented sum | Sparse matrices | Compressed sparse row | COMPUTER SCIENCE, THEORY & METHODS | Algorithms | Energy efficiency

Heterogeneous processors | Sparse matrix-vector multiplication | Speculative execution | Segmented sum | Sparse matrices | Compressed sparse row | COMPUTER SCIENCE, THEORY & METHODS | Algorithms | Energy efficiency

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 01/2011, Volume 57, Issue 1, pp. 210 - 226

The sum-rate capacity of the parallel Gaussian interference channel is shown to be achieved by independent transmission across subchannels and treating...

Noise | Capacity | Interference | Gaussian | Covariance matrix | Noise measurement | Resource management | DSL | Optimization | parallel channel | interference | DIGITAL SUBSCRIBER LINES | BOUNDS | SPECTRUM MANAGEMENT | COMPUTER SCIENCE, INFORMATION SYSTEMS | SYSTEMS | REGION | ENGINEERING, ELECTRICAL & ELECTRONIC | Communications circuits | Random noise theory | Electromagnetic interference | Analysis | Gaussian processes | Influence | Models | Properties | Information science | Normal distribution | Information processing | Information theory | Allocations | Digital | Channels | Concavity

Noise | Capacity | Interference | Gaussian | Covariance matrix | Noise measurement | Resource management | DSL | Optimization | parallel channel | interference | DIGITAL SUBSCRIBER LINES | BOUNDS | SPECTRUM MANAGEMENT | COMPUTER SCIENCE, INFORMATION SYSTEMS | SYSTEMS | REGION | ENGINEERING, ELECTRICAL & ELECTRONIC | Communications circuits | Random noise theory | Electromagnetic interference | Analysis | Gaussian processes | Influence | Models | Properties | Information science | Normal distribution | Information processing | Information theory | Allocations | Digital | Channels | Concavity

Journal Article

ELECTRONICS LETTERS, ISSN 0013-5194, 10/2017, Volume 53, Issue 22, pp. 1477 - 1478

A monopulse sum-difference comparator based on double-layer substrate integrated waveguide (SIW) for X-band applications is investigated and experimentally...

compact monopulse sum-difference comparator | microwave phase shifters | double-layer substrate integrated waveguide | magic tee interconnection | 5 GHz to 10 | miniaturised compact monopulse antenna systems | phase shifter | ENGINEERING, ELECTRICAL & ELECTRONIC | double-stepped coupling slot | folded parallel SIW | frequency 9 | common broad side | comparator network | directional couplers | directional coupler | 5 GHz | X-band | comparators (circuits) | substrate integrated waveguides

compact monopulse sum-difference comparator | microwave phase shifters | double-layer substrate integrated waveguide | magic tee interconnection | 5 GHz to 10 | miniaturised compact monopulse antenna systems | phase shifter | ENGINEERING, ELECTRICAL & ELECTRONIC | double-stepped coupling slot | folded parallel SIW | frequency 9 | common broad side | comparator network | directional couplers | directional coupler | 5 GHz | X-band | comparators (circuits) | substrate integrated waveguides

Journal Article

Computers and Operations Research, ISSN 0305-0548, 07/2017, Volume 83, pp. 120 - 124

We present a highly scalable parallel solution for the on Graphics Processing Units (GPUs) that substantially reduces the memory access by the device and,...

GPU | Parallel algorithm | Subset-Sum problem | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 2-LIST ALGORITHM | CPU | ENGINEERING, INDUSTRIAL | KNAPSACK-PROBLEM | Algorithms | Graphics processing units | Exhaustion

GPU | Parallel algorithm | Subset-Sum problem | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 2-LIST ALGORITHM | CPU | ENGINEERING, INDUSTRIAL | KNAPSACK-PROBLEM | Algorithms | Graphics processing units | Exhaustion

Journal Article

Computers and Operations Research, ISSN 0305-0548, 09/2016, Volume 73, pp. 84 - 91

The paper on hand addresses the workload balancing problem that asks for an assignment of independent jobs to identical parallel machines so that the...

NSSWD-criterion | Workload balancing | Scheduling | Identical parallel machines | Heuristics | PARTITION PROBLEM | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COMPLETION-TIME | LPT ALGORITHM | PROCESSORS | ENGINEERING, INDUSTRIAL | NORMALIZED SUM | DEVIATIONS | Magneto-electric machines | Management science | Algorithms | Machinery | Studies | Parallel processing | Problem solving | Workloads | Assignment problem

NSSWD-criterion | Workload balancing | Scheduling | Identical parallel machines | Heuristics | PARTITION PROBLEM | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COMPLETION-TIME | LPT ALGORITHM | PROCESSORS | ENGINEERING, INDUSTRIAL | NORMALIZED SUM | DEVIATIONS | Magneto-electric machines | Management science | Algorithms | Machinery | Studies | Parallel processing | Problem solving | Workloads | Assignment problem

Journal Article