Journal of optimization theory and applications, ISSN 1573-2878, 2019, Volume 183, Issue 1, pp. 179 - 198

The Douglas–Rachford method is a popular splitting technique for finding a zero of the sum of two subdifferential operators of proper, closed, and convex functions and, more generally, two maximally monotone operators...

Lipschitz continuous mapping | Secondary 49M29 | Mathematics | Theory of Computation | Strongly monotone operator | Optimization | Strongly convex function | Skew-symmetric operator | Linear convergence | Primary 47H05 | Calculus of Variations and Optimal Control; Optimization | 90C25 | Operations Research/Decision Theory | Douglas–Rachford algorithm | 47H09 | 49M27 | 49N15 | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Douglas-Rachford algorithm | INCLUSIONS | ALGORITHMS | Electrical engineering | Algorithms | Operators (mathematics) | Splitting | Convergence

Lipschitz continuous mapping | Secondary 49M29 | Mathematics | Theory of Computation | Strongly monotone operator | Optimization | Strongly convex function | Skew-symmetric operator | Linear convergence | Primary 47H05 | Calculus of Variations and Optimal Control; Optimization | 90C25 | Operations Research/Decision Theory | Douglas–Rachford algorithm | 47H09 | 49M27 | 49N15 | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Douglas-Rachford algorithm | INCLUSIONS | ALGORITHMS | Electrical engineering | Algorithms | Operators (mathematics) | Splitting | Convergence

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2013, Volume 141, Issue 8, pp. 2755 - 2762

An operator T \mathcal {H} C:\mathcal {H}\longrightarrow \mathcal {H}. In this paper, we shall give two structure theorems for skew symmetric normal operators.

Normal operators | Skew symmetric operators | Complex symmetric operators | INTERPOLATION | MATHEMATICS | MATHEMATICS, APPLIED | COMPLEX | normal operators | MATRICES | complex symmetric operators | AUTOMORPHIC-FUNCTIONS

Normal operators | Skew symmetric operators | Complex symmetric operators | INTERPOLATION | MATHEMATICS | MATHEMATICS, APPLIED | COMPLEX | normal operators | MATRICES | complex symmetric operators | AUTOMORPHIC-FUNCTIONS

Journal Article

Journal of computational physics, ISSN 0021-9991, 2018, Volume 362, pp. 20 - 48

...) operators and the weak enforcement of boundary conditions. Recently, there has been an increasing interest in generalised SBP operators both in the finite difference and the discontinuous Galerkin spectral element framework...

Hyperbolic conservation laws | Skew-symmetric form | Stability | Summation-by-parts | Conservation | NONLINEAR CONSERVATION-LAWS | STRICT STABILITY | PHYSICS, MATHEMATICAL | SHALLOW-WATER EQUATIONS | NUMERICAL APPROXIMATIONS | SPECTRAL ELEMENT DISCRETIZATION | FINITE-DIFFERENCE FORMULATIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SPLIT-FORM | DISCRETE | DISCONTINUOUS GALERKIN METHODS | COLLOCATION SCHEMES | Environmental law | Analysis | Mathematics - Numerical Analysis

Hyperbolic conservation laws | Skew-symmetric form | Stability | Summation-by-parts | Conservation | NONLINEAR CONSERVATION-LAWS | STRICT STABILITY | PHYSICS, MATHEMATICAL | SHALLOW-WATER EQUATIONS | NUMERICAL APPROXIMATIONS | SPECTRAL ELEMENT DISCRETIZATION | FINITE-DIFFERENCE FORMULATIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SPLIT-FORM | DISCRETE | DISCONTINUOUS GALERKIN METHODS | COLLOCATION SCHEMES | Environmental law | Analysis | Mathematics - Numerical Analysis

Journal Article

Operators and Matrices, ISSN 1846-3886, 12/2017, Volume 11, Issue 4, pp. 941 - 951

.... Let C and S denote respectively the set of C-symmetric operators and the set of C-skew-symmetric operators on H...

Complex symmetric operator | Skew-symmetric operator | Reflexivity | Preannihilator | Transitivity | MATHEMATICS | preannihilator | skew-symmetric operator | transitivity | DECOMPOSITION | CLOSURE | reflexivity

Complex symmetric operator | Skew-symmetric operator | Reflexivity | Preannihilator | Transitivity | MATHEMATICS | preannihilator | skew-symmetric operator | transitivity | DECOMPOSITION | CLOSURE | reflexivity

Journal Article

Journal of computational physics, ISSN 0021-9991, 2017, Volume 342, pp. 13 - 28

A generalised analytical notion of summation-by-parts (SBP) methods is proposed, extending the concept of SBP operators in the correction procedure via reconstruction (CPR...

Hyperbolic conservation laws | Skew-symmetric form | High order methods | Correction procedure via reconstruction | Summation-by-parts | Entropy stability | RECONSTRUCTION | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FORMULATIONS | QUADRATURE | CONSERVATION-LAWS | SCHEMES | Environmental law | Mathematics - Numerical Analysis

Hyperbolic conservation laws | Skew-symmetric form | High order methods | Correction procedure via reconstruction | Summation-by-parts | Entropy stability | RECONSTRUCTION | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FORMULATIONS | QUADRATURE | CONSERVATION-LAWS | SCHEMES | Environmental law | Mathematics - Numerical Analysis

Journal Article

Journal of Spectral Theory, ISSN 1664-039X, 2019, Volume 9, Issue 1, pp. 137 - 170

An analytic definition of a Z(2)-valued spectral flow for paths of real skew-adjoint Fredholm operators is given...

Topological insulators | Spectral flow | Skew-symmetric operators | MATHEMATICS | MATHEMATICS, APPLIED | skew-symmetric operators | topological insulators

Topological insulators | Spectral flow | Skew-symmetric operators | MATHEMATICS | MATHEMATICS, APPLIED | skew-symmetric operators | topological insulators

Journal Article

Advances in Mathematics, ISSN 0001-8708, 08/2013, Volume 243, pp. 296 - 329

... ∇ with skew torsion T∈Λ3M by means of twistor theory. An optimal lower bound for the first eigenvalue of the Dirac operator with torsion is found that generalizes...

Twistor operator | Killing spinor | Dirac operator | Eigenvalue estimate | Metric connection with torsion | PARALLEL CHARACTERISTIC TORSION | SPACES | 1ST EIGENVALUE | CONNECTIONS | MATHEMATICS | SKEW-SYMMETRIC TORSION | HOLONOMY | HARMONIC SPINORS | MANIFOLDS | SURFACES | GEOMETRY

Twistor operator | Killing spinor | Dirac operator | Eigenvalue estimate | Metric connection with torsion | PARALLEL CHARACTERISTIC TORSION | SPACES | 1ST EIGENVALUE | CONNECTIONS | MATHEMATICS | SKEW-SYMMETRIC TORSION | HOLONOMY | HARMONIC SPINORS | MANIFOLDS | SURFACES | GEOMETRY

Journal Article

Journal of the Korean Mathematical Society, ISSN 0304-9914, 2015, Volume 52, Issue 6, pp. 1271 - 1286

An operator T on a complex Hilbert space H is called skew symmetric if T can be represented as a skew symmetric matrix relative to some orthonormal basis for H...

Complex symmetric operator | Skew symmetric operator | Triangular operator | Eigen- value | MATHEMATICS | MATHEMATICS, APPLIED | COMPLEX | RANKS | DECOMPOSITION | complex symmetric operator | triangular operator | skew symmetric operator | eigenvalue

Complex symmetric operator | Skew symmetric operator | Triangular operator | Eigen- value | MATHEMATICS | MATHEMATICS, APPLIED | COMPLEX | RANKS | DECOMPOSITION | complex symmetric operator | triangular operator | skew symmetric operator | eigenvalue

Journal Article

Banach Journal of Mathematical Analysis, ISSN 1735-8787, 2013, Volume 8, Issue 1, pp. 279 - 294

An operator T on a complex Hilbert space H is said to be skew symmetric if there exists a conjugate-linear, isometric involution C : H -> H such that CTC...

Compact operator | Complex symmetric operator | Skew symmetric operator | Partial isometry | MATHEMATICS | MATRIX | MATHEMATICS, APPLIED | COMPLEX | UNITARY EQUIVALENCE | complex symmetric operator | partial isometry | compact operator

Compact operator | Complex symmetric operator | Skew symmetric operator | Partial isometry | MATHEMATICS | MATRIX | MATHEMATICS, APPLIED | COMPLEX | UNITARY EQUIVALENCE | complex symmetric operator | partial isometry | compact operator

Journal Article

Journal of the Korean Mathematical Society, ISSN 0304-9914, 2015, Volume 52, Issue 2, pp. 403 - 416

An operator T on a complex Hilbert space H is called skew symmetric if T can be represented as a skew symmetric matrix relative to some orthonormal basis for H...

Complex symmetric operator | Skew symmetric operator | Spect-rum | MATHEMATICS | MATHEMATICS, APPLIED | complex symmetric operator | spectrum | skew symmetric operator

Complex symmetric operator | Skew symmetric operator | Spect-rum | MATHEMATICS | MATHEMATICS, APPLIED | complex symmetric operator | spectrum | skew symmetric operator

Journal Article

International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 11/2015, Volume 12, Issue 10

Four-dimensional pseudo-Riemannian homogeneous spaces whose isotropy is non-trivial with commuting curvature operators have been studied...

semi-symmetric space | curvature operators | Homogeneous space | Ricci and skew-symmetric curvature operators | COMMUTING CURVATURE | PHYSICS, MATHEMATICAL | RIEMANNIAN-MANIFOLDS

semi-symmetric space | curvature operators | Homogeneous space | Ricci and skew-symmetric curvature operators | COMMUTING CURVATURE | PHYSICS, MATHEMATICAL | RIEMANNIAN-MANIFOLDS

Journal Article

Operators and Matrices, ISSN 1846-3886, 12/2015, Volume 9, Issue 4, pp. 847 - 851

In this paper it is proved that each densely defined J-skew-symmetric operator (or each J-isometric operator with <(D(A))over bar> = <(R(A))over bar> = H...

Extension | J-isometric operator | Conjugation | J-skew-symmetric operator | MATHEMATICS | conjugation

Extension | J-isometric operator | Conjugation | J-skew-symmetric operator | MATHEMATICS | conjugation

Journal Article

ELECTRONIC JOURNAL OF LINEAR ALGEBRA, ISSN 1537-9582, 02/2020, Volume 36, pp. 67 - 79

A new class of operators, larger than C-symmetric operators and different than normal one, named C-normal operators is introduced...

MATHEMATICS | SYMMETRIC-OPERATORS | C-skew-symmetric operators | Composition operators | Truncated Toeplitz operators | C-symmetric operators | Toeplitz operators | Conjugate normal matrices

MATHEMATICS | SYMMETRIC-OPERATORS | C-skew-symmetric operators | Composition operators | Truncated Toeplitz operators | C-symmetric operators | Toeplitz operators | Conjugate normal matrices

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2015, Volume 425, Issue 2, pp. 734 - 747

We study the rank of complex skew symmetric operators on separable Hilbert spaces...

Toeplitz operators | Rank | Complex skew symmetric operators | MATHEMATICS | MATHEMATICS, APPLIED

Toeplitz operators | Rank | Complex skew symmetric operators | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2020, Volume 489, Issue 1, p. 124134

We study in this paper the infinite-dimensional orthogonal Lie algebra OC which consists of all bounded linear operators T on a separable, infinite-dimensional, complex Hilbert space H satisfying CTC...

Derivation | Skew-symmetric operator | Orthogonal Lie algebra | Skew-symmetric matrix | Lie ideal | MATHEMATICS | MATHEMATICS, APPLIED | SYMMETRIC-OPERATORS | DECOMPOSITION | SKEW | AUTOMORPHIC-FUNCTIONS

Derivation | Skew-symmetric operator | Orthogonal Lie algebra | Skew-symmetric matrix | Lie ideal | MATHEMATICS | MATHEMATICS, APPLIED | SYMMETRIC-OPERATORS | DECOMPOSITION | SKEW | AUTOMORPHIC-FUNCTIONS

Journal Article

Journal of computational physics, ISSN 0021-9991, 2013, Volume 252, pp. 518 - 557

Nonlinear entropy stability is used to derive provably stable high-order finite difference operators including boundary closure stencils, for the compressible Navier–Stokes equations...

High-order finite difference methods | Entropy stability | Conservation | Skew-symmetric | WENO | SBP-SAT | Navier–Stokes | Entropy conservation | Navier-Stokes | ENERGY | BOUNDARY-CONDITIONS | PARTS OPERATORS | APPROXIMATIONS | STABILITY | ESSENTIALLY NONOSCILLATORY SCHEMES | FORMULATION | PHYSICS, MATHEMATICAL | METHODOLOGY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NAVIER-STOKES EQUATIONS | Skew symmetric | SYSTEMS | Environmental law | Analysis | Operators | Approximation | Mathematical analysis | Nonlinearity | Entropy | Boundaries | Navier-Stokes equations | Finite difference method

High-order finite difference methods | Entropy stability | Conservation | Skew-symmetric | WENO | SBP-SAT | Navier–Stokes | Entropy conservation | Navier-Stokes | ENERGY | BOUNDARY-CONDITIONS | PARTS OPERATORS | APPROXIMATIONS | STABILITY | ESSENTIALLY NONOSCILLATORY SCHEMES | FORMULATION | PHYSICS, MATHEMATICAL | METHODOLOGY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NAVIER-STOKES EQUATIONS | Skew symmetric | SYSTEMS | Environmental law | Analysis | Operators | Approximation | Mathematical analysis | Nonlinearity | Entropy | Boundaries | Navier-Stokes equations | Finite difference method

Journal Article

Journal of computational physics, ISSN 0021-9991, 2019, Volume 390, pp. 359 - 379

....•Despite the formal reduction of the truncation error, a skew-symmetric spatial operator guarantees a 2nd order accuracy on AMR Cartesian meshes...

Cartesian method | Skew-symmetric operator | Compressible Fluids | Finite-Volume method | Hybrid RANS-LES | Turbulent flows | ENERGY | IMPLEMENTATION | MODEL | FORMULATION | PHYSICS, MATHEMATICAL | FLOW | IMMERSED-BOUNDARY METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DIFFERENCE | LARGE-EDDY SIMULATION | SCHEMES | Turbulence | Analysis | Methods | Force and energy | Turbulent flow | Computational fluid dynamics | Reynolds number | Fluid flow | Dispersion | Simulation | Three dimensional flow | Energy dissipation | Quadratic forms | Energy conservation | Numerical dissipation | Kinetic energy | High Reynolds number | Coupled walls | Cartesian coordinates

Cartesian method | Skew-symmetric operator | Compressible Fluids | Finite-Volume method | Hybrid RANS-LES | Turbulent flows | ENERGY | IMPLEMENTATION | MODEL | FORMULATION | PHYSICS, MATHEMATICAL | FLOW | IMMERSED-BOUNDARY METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DIFFERENCE | LARGE-EDDY SIMULATION | SCHEMES | Turbulence | Analysis | Methods | Force and energy | Turbulent flow | Computational fluid dynamics | Reynolds number | Fluid flow | Dispersion | Simulation | Three dimensional flow | Energy dissipation | Quadratic forms | Energy conservation | Numerical dissipation | Kinetic energy | High Reynolds number | Coupled walls | Cartesian coordinates

Journal Article

Advances in Geometry, ISSN 1615-715X, 03/2012, Volume 12, Issue 1, pp. 83 - 100

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 2009, Volume 431, Issue 12, pp. 2336 - 2345

Let B ( H ) be the algebra of bounded linear operator acting on a Hilbert space H...

Unitary | Skew-symmetric operator | Unitary orbit | Self-adjoint | Normal | Symmetric | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | MATRICES

Unitary | Skew-symmetric operator | Unitary orbit | Self-adjoint | Normal | Symmetric | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | MATRICES

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 3/2015, Volume 54, Issue 3, pp. 1066 - 1070

... : Fact For an arbitrary unknown state |ψ〉 belongs to n-dimensional Hilbert space, there exists an antiunitary operator K such that K|ψ〉=|ψ ⊥〉 here the state |ψ...

Antiunitary operator | Multiple anti-cloning machine | Skew-symmetric operator | Orthogonal complement state | Theoretical, Mathematical and Computational Physics | State | 1 and 3-dimensional Hilbert space | Complex conjugation operator | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | Cloning

Antiunitary operator | Multiple anti-cloning machine | Skew-symmetric operator | Orthogonal complement state | Theoretical, Mathematical and Computational Physics | State | 1 and 3-dimensional Hilbert space | Complex conjugation operator | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | Cloning

Journal Article

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