Journal of algebra and its applications, ISSN 0219-4988, 2018, Volume 18, Issue 7

Let N(F) be the Lie algebra consisting of all strictly upper triangular (n + 1) x (n + 1) matrices over a field F...

strong commutativity | Strictly upper triangular matrices | invertible linear maps | INVERTIBLE LINEAR-MAPS | COMMUTING TRACES | MATHEMATICS | MATHEMATICS, APPLIED | AUTOMORPHISMS | GENERALIZED DERIVATIONS

strong commutativity | Strictly upper triangular matrices | invertible linear maps | INVERTIBLE LINEAR-MAPS | COMMUTING TRACES | MATHEMATICS | MATHEMATICS, APPLIED | AUTOMORPHISMS | GENERALIZED DERIVATIONS

Journal Article

ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 12/2002, Volume 28, Issue 4, pp. 392 - 415

... and computation of functions of matrices. To solve a triangular matrix equation is also a major step in the classical Bartels--Stewart method for solving the standard continuous-time Sylvester equation ( AX − XB = C...

GEMM-based | SMP parallelization | level-3 BLAS | standard Sylvester and Lyapunov | generalized coupled Sylvester | LAPACK | automatic blocking | Matrix equations | SLICOT | recursion | superscalar | G.4 [Mathematical Software]: Algorithm design | F.2.1 [Analysis of Algorithms and Problem Complexity]: Numerical Algorithms and Problems - computations on matrices | G.1.3 [Numerical Analysis]: Numerical Linear Algebra - conditioning, linear systems | algorithms | MATHEMATICS, APPLIED | SET | matrix equations | LEVEL 3 BLAS | SOFTWARE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | NUMERICAL-SOLUTION | performance | PAIR | Evaluation | Matrices | Algorithms | Mathematical software

GEMM-based | SMP parallelization | level-3 BLAS | standard Sylvester and Lyapunov | generalized coupled Sylvester | LAPACK | automatic blocking | Matrix equations | SLICOT | recursion | superscalar | G.4 [Mathematical Software]: Algorithm design | F.2.1 [Analysis of Algorithms and Problem Complexity]: Numerical Algorithms and Problems - computations on matrices | G.1.3 [Numerical Analysis]: Numerical Linear Algebra - conditioning, linear systems | algorithms | MATHEMATICS, APPLIED | SET | matrix equations | LEVEL 3 BLAS | SOFTWARE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | NUMERICAL-SOLUTION | performance | PAIR | Evaluation | Matrices | Algorithms | Mathematical software

Journal Article

International journal for numerical methods in engineering, ISSN 0029-5981, 02/2011, Volume 85, Issue 8, pp. 958 - 986

...). The deflection fields are approximated using the RPIM shape functions which possess the Kronecker Delta property for easy impositions of essential boundary conditions...

gradient smoothing | thin plate | meshfree method | radial point interpolation method (RPIM) | numerical method | generalized smoothed Galerkin weak form | Generalized smoothed Galerkin weak form | Thin plate | Numerical method | Gradient smoothing | Meshfree method | Radial point interpolation method (RPIM) | CONFORMING NODAL INTEGRATION | SHELL STRUCTURES | APPROXIMATION | BEAMS | LOCKING | GALERKIN MLPG FORMULATION | G SPACE THEORY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | COMPUTATIONAL MECHANICS | FREE-VIBRATION ANALYSIS | Finite element method | Deflection | Smoothing | Mathematical analysis | Boundary conditions | Mathematical models | Thin plates | Curvature

gradient smoothing | thin plate | meshfree method | radial point interpolation method (RPIM) | numerical method | generalized smoothed Galerkin weak form | Generalized smoothed Galerkin weak form | Thin plate | Numerical method | Gradient smoothing | Meshfree method | Radial point interpolation method (RPIM) | CONFORMING NODAL INTEGRATION | SHELL STRUCTURES | APPROXIMATION | BEAMS | LOCKING | GALERKIN MLPG FORMULATION | G SPACE THEORY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | COMPUTATIONAL MECHANICS | FREE-VIBRATION ANALYSIS | Finite element method | Deflection | Smoothing | Mathematical analysis | Boundary conditions | Mathematical models | Thin plates | Curvature

Journal Article

Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 04/2008, Volume 77, Issue 262, pp. 1037 - 1056

Given a complex matrix \mathbf{H}, we consider the decomposition \mathbf{H} = \mathbf{QRP}^*, where \mathbf{R} is upper triangular...

Error rates | Geometric mean | Eigenvalues | Matrices | Mathematical vectors | Mathematics | Floating point arithmetic | Rotation | Numerical stability | Arithmetic | MIMO systems | Geometric mean decomposition | Unitary factorization | Schur decomposition | Generalized triangular decomposition | Matrix factorization | Inverse eigenvalue problems | Singular value decomposition | generalized triangular decomposition | matrix factorization | unitary factorization | MATHEMATICS, APPLIED | geometric mean decomposition | MATRICES | ALGORITHM | inverse eigenvalue problems | singular value decomposition

Error rates | Geometric mean | Eigenvalues | Matrices | Mathematical vectors | Mathematics | Floating point arithmetic | Rotation | Numerical stability | Arithmetic | MIMO systems | Geometric mean decomposition | Unitary factorization | Schur decomposition | Generalized triangular decomposition | Matrix factorization | Inverse eigenvalue problems | Singular value decomposition | generalized triangular decomposition | matrix factorization | unitary factorization | MATHEMATICS, APPLIED | geometric mean decomposition | MATRICES | ALGORITHM | inverse eigenvalue problems | singular value decomposition

Journal Article

Theoretical and applied fracture mechanics, ISSN 0167-8442, 06/2019, Volume 101, pp. 279 - 293

....•Directly imposing the boundary condition without any effort.•Completely avoiding the derivation of meshfree shape functions...

Stress intensity factors | Two-level nesting triangular sub-domains | Meshfree method | EFGM | Generalized strain smoothing technique | CONFORMING NODAL INTEGRATION | ACCURATE | SIMULATION | ENGINEERING, MECHANICAL | MECHANICS | MESHLESS METHODS | FRACTURE-ANALYSIS | GROWTH | FINITE-ELEMENT-METHOD | EFFICIENT | STATIONARY | XFEM | Enrichment | Nesting | Crack tips | Fracture mechanics | Approximation | Computer simulation | Linear elastic fracture mechanics | Domains | Robustness (mathematics) | Smoothing | Mathematical analysis | Meshless methods | Galerkin method

Stress intensity factors | Two-level nesting triangular sub-domains | Meshfree method | EFGM | Generalized strain smoothing technique | CONFORMING NODAL INTEGRATION | ACCURATE | SIMULATION | ENGINEERING, MECHANICAL | MECHANICS | MESHLESS METHODS | FRACTURE-ANALYSIS | GROWTH | FINITE-ELEMENT-METHOD | EFFICIENT | STATIONARY | XFEM | Enrichment | Nesting | Crack tips | Fracture mechanics | Approximation | Computer simulation | Linear elastic fracture mechanics | Domains | Robustness (mathematics) | Smoothing | Mathematical analysis | Meshless methods | Galerkin method

Journal Article

6.
Water quality evaluation model using Bayesian method based on generalized triangular fuzzy function

IPPTA, ISSN 0379-5462, 2018, Volume 30, Issue 6, pp. 24 - 33

Journal Article

Journal of functional analysis, ISSN 0022-1236, 08/2012, Volume 263, Issue 3, pp. 803 - 817

A class of non-factorable positive operators is constructed. As a result, pure existence theorems in the well-known problems by Ringrose, Kadison and Singer...

Triangular operators | Nest algebra | Hyperintransitive operator | Multiplicity 1 | MATHEMATICS | GENERALIZED STATIONARY-PROCESSES | ALGEBRAS | DIFFERENTIAL-SYSTEMS | Algebra

Triangular operators | Nest algebra | Hyperintransitive operator | Multiplicity 1 | MATHEMATICS | GENERALIZED STATIONARY-PROCESSES | ALGEBRAS | DIFFERENTIAL-SYSTEMS | Algebra

Journal Article

The open cybernetics & systemics journal, ISSN 1874-110X, 2018, Volume 12, Issue 1, pp. 72 - 120

Journal Article

Journal of Russian laser research, ISSN 1573-8760, 2013, Volume 34, Issue 1, pp. 77 - 86

We develop generalized coherent states based on the Gazeau–Klauder formalism for the triangular well potential and discuss some of their...

second-order correlation function | Microwaves, RF and Optical Engineering | Optics, Optoelectronics, Plasmonics and Optical Devices | triangular well potential | Airy functions | Laser Technology, Photonics | spatiotemporal evolution | Gazeau–Klauder coherent states | Physics | Mandel Q -parameter | generalized coherent states | super-Poissonian distribution | Gazeau-Klauder coherent states | Mandel Q-parameter | SYSTEMS | OPTICS

second-order correlation function | Microwaves, RF and Optical Engineering | Optics, Optoelectronics, Plasmonics and Optical Devices | triangular well potential | Airy functions | Laser Technology, Photonics | spatiotemporal evolution | Gazeau–Klauder coherent states | Physics | Mandel Q -parameter | generalized coherent states | super-Poissonian distribution | Gazeau-Klauder coherent states | Mandel Q-parameter | SYSTEMS | OPTICS

Journal Article

ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 12/2002, Volume 28, Issue 4, pp. 416 - 435

We continue our study of high-performance algorithms for solving triangular matrix equations...

GEMM-based | SMP parallelization | level-3 BLAS | LAPACK | automatic blocking | standard discrete-time Sylvester and Lyapunov | Matrix equations | SLICOT | generalized Sylvester and Lyapunov | recursion | superscalar | G.4 [Mathematical Software]: Algorithm design | F.2.1 [Analysis of Algorithms and Problem Complexity]: Numerical Algorithms and Problems - computations on matrices | G.1.3 [Numerical Analysis]: Numerical Linear Algebra - conditioning, linear systems | algorithms | MATHEMATICS, APPLIED | matrix equations | SOFTWARE | AXB(T)+CXD(T)=E | COMPUTER SCIENCE, SOFTWARE ENGINEERING | performance | Evaluation | Algorithms | Mathematical software

GEMM-based | SMP parallelization | level-3 BLAS | LAPACK | automatic blocking | standard discrete-time Sylvester and Lyapunov | Matrix equations | SLICOT | generalized Sylvester and Lyapunov | recursion | superscalar | G.4 [Mathematical Software]: Algorithm design | F.2.1 [Analysis of Algorithms and Problem Complexity]: Numerical Algorithms and Problems - computations on matrices | G.1.3 [Numerical Analysis]: Numerical Linear Algebra - conditioning, linear systems | algorithms | MATHEMATICS, APPLIED | matrix equations | SOFTWARE | AXB(T)+CXD(T)=E | COMPUTER SCIENCE, SOFTWARE ENGINEERING | performance | Evaluation | Algorithms | Mathematical software

Journal Article

11.
Full Text
Dominance on continuous Archimedean triangular norms and generalized Mulholland inequality

Fuzzy sets and systems, ISSN 0165-0114, 01/2020

Journal Article

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2016, Volume 9647, pp. 31 - 44

Conference Proceeding

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 21

...) by using the concept of triangular α-orbital admissible mappings established in Popescu (Fixed Point Theory Appl. 2014:190, 2014...

triangular α -orbital admissible mapping | 47H10 | fixed point | Analysis | generalized metric space | Mathematics, general | Mathematics | Applications of Mathematics | 46S40 | α -orbital attractive mapping | 54H25 | Generalized metric space | α-orbital attractive mapping | Triangular α-orbital admissible mapping | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | triangular alpha-orbital admissible mapping | MATHEMATICS, APPLIED | alpha-orbital attractive mapping | FIXED-POINT THEOREM | PHI-CONTRACTIONS | Theorems | Mapping | Metric space | Inequalities | triangular α-orbital admissible mapping

triangular α -orbital admissible mapping | 47H10 | fixed point | Analysis | generalized metric space | Mathematics, general | Mathematics | Applications of Mathematics | 46S40 | α -orbital attractive mapping | 54H25 | Generalized metric space | α-orbital attractive mapping | Triangular α-orbital admissible mapping | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | triangular alpha-orbital admissible mapping | MATHEMATICS, APPLIED | alpha-orbital attractive mapping | FIXED-POINT THEOREM | PHI-CONTRACTIONS | Theorems | Mapping | Metric space | Inequalities | triangular α-orbital admissible mapping

Journal Article

New trends in mathematical sciences, ISSN 2147-5520, 03/2017, Volume 1, Issue 5, pp. 213 - 224

In this paper the orthogonal triangular function (TF) based method is first applied to transform the Fredholm integral equations and Fredholm system of integral equations to a coupled system of matrix algebraic equations...

generalized iterative algorithm | generalized Sylvester matrix | Fredholm integral equation | triangular functions | equation

generalized iterative algorithm | generalized Sylvester matrix | Fredholm integral equation | triangular functions | equation

Journal Article

IEEE Transactions on Automatic Control, ISSN 0018-9286, 12/2001, Volume 46, Issue 12, pp. 2018 - 2022

An input pair (A, B) is triangular input normal if and only if A is triangular and AA...

Filters | Transfer functions | Bandwidth | Tin | Eigenvalues and eigenfunctions | Robustness | System identification | State-space methods | Covariance matrix | Least squares methods | System representations | State space | Balanced systems | Orthonormal representations | GENERALIZED ORTHONORMAL BASIS | BASES | state space | orthonormal representations | system representations | system identification | AUTOMATION & CONTROL SYSTEMS | balanced systems | SYSTEM-IDENTIFICATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Matrices | Parametrization | Mathematical analysis | Banded structure | Impulse response | Eigenvalues | Automatic control | Representations

Filters | Transfer functions | Bandwidth | Tin | Eigenvalues and eigenfunctions | Robustness | System identification | State-space methods | Covariance matrix | Least squares methods | System representations | State space | Balanced systems | Orthonormal representations | GENERALIZED ORTHONORMAL BASIS | BASES | state space | orthonormal representations | system representations | system identification | AUTOMATION & CONTROL SYSTEMS | balanced systems | SYSTEM-IDENTIFICATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Matrices | Parametrization | Mathematical analysis | Banded structure | Impulse response | Eigenvalues | Automatic control | Representations

Journal Article

Journal of computational and applied mathematics, ISSN 0377-0427, 2003, Volume 158, Issue 2, pp. 233 - 241

The problem of degree reduction and degree raising of triangular Bézier surfaces is considered...

Degree raising | Degree reduction | Computer-aided geometric design | Triangular Bézier surfaces | Generalized Bernstein polynomials | degree reduction | MATHEMATICS, APPLIED | degree raising | triangular Bezier surfaces | generalized Bernstein polynomials | computer-aided geometric design

Degree raising | Degree reduction | Computer-aided geometric design | Triangular Bézier surfaces | Generalized Bernstein polynomials | degree reduction | MATHEMATICS, APPLIED | degree raising | triangular Bezier surfaces | generalized Bernstein polynomials | computer-aided geometric design

Journal Article

Automatika, ISSN 0005-1144, 01/2016, Volume 57, Issue 1, pp. 221 - 229

The paper presents a new closed-form expression for the fractional Fourier transform of generalized Triangular and Welch window functions...

Welch window | poopćena trokutasta funkcija | Frakcijska Fourierova transformacija | Fractional Fourier transform | Generalized triangular function | Welchov prozor | prozorska funkcija | spektralna analiza | Window function | Spectral analysis | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Fourier transforms | Parameter modification | Window functions | Spectrum analysis | Signal processing | Spectra | Sidelobes

Welch window | poopćena trokutasta funkcija | Frakcijska Fourierova transformacija | Fractional Fourier transform | Generalized triangular function | Welchov prozor | prozorska funkcija | spektralna analiza | Window function | Spectral analysis | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Fourier transforms | Parameter modification | Window functions | Spectrum analysis | Signal processing | Spectra | Sidelobes

Journal Article

Communications in computational physics, ISSN 1991-7120, 2015, Volume 14, Issue 5, pp. 1174 - 1206

...) one-step WENO finite volume schemes for solving nonlinear hyperbolic systems of conservation laws on moving two dimensional unstructured triangular meshes...

Arbitrary Lagrangian-Eulerian | Local space-time Galerkin predictor | Moving unstructured meshes | WENO | High order reconstruction | Euler equations | Finite volume | high order reconstruction | GENERALIZED RIEMANN PROBLEM | ELEMENT METHOD | ASYMPTOTIC-EXPANSION | ESSENTIALLY NONOSCILLATORY SCHEMES | HIGH-ORDER | finite volume | moving unstructured meshes | PHYSICS, MATHEMATICAL | local space-time Galerkin predictor | GAS-DYNAMICS | ADER SCHEMES | DYNAMIC GRID MOTION | DIFFERENCE METHODS | 2 DIMENSIONS | Mathematics - Numerical Analysis

Arbitrary Lagrangian-Eulerian | Local space-time Galerkin predictor | Moving unstructured meshes | WENO | High order reconstruction | Euler equations | Finite volume | high order reconstruction | GENERALIZED RIEMANN PROBLEM | ELEMENT METHOD | ASYMPTOTIC-EXPANSION | ESSENTIALLY NONOSCILLATORY SCHEMES | HIGH-ORDER | finite volume | moving unstructured meshes | PHYSICS, MATHEMATICAL | local space-time Galerkin predictor | GAS-DYNAMICS | ADER SCHEMES | DYNAMIC GRID MOTION | DIFFERENCE METHODS | 2 DIMENSIONS | Mathematics - Numerical Analysis

Journal Article

Journal of Taibah University for Science, ISSN 1658-3655, 2018, Volume 12, Issue 5, pp. 536 - 544

.... In this paper, a new aggregation operator on generalized triangular fuzzy number has been defined...

generalized trapezoidal fuzzy numbers | Generalized fuzzy numbers | aggregation operators | generalized triangular fuzzy numbers | fuzzy multi-criteria decision-making | MULTIDISCIPLINARY SCIENCES

generalized trapezoidal fuzzy numbers | Generalized fuzzy numbers | aggregation operators | generalized triangular fuzzy numbers | fuzzy multi-criteria decision-making | MULTIDISCIPLINARY SCIENCES

Journal Article

SIAM journal on numerical analysis, ISSN 0036-1429, 1/2008, Volume 47, Issue 1, pp. 740 - 761

.... Our approach to error estimation is based on a well-known a posteriori analysis involving variational analysis, and the generalized Green's function...

Finite element method | Error rates | A posteriori knowledge | Approximation | Error analysis | Thermal decomposition | Adjoints | Coefficients | Physics | Linearization | Projection error | Goal-oriented error estimates | Operator decomposition | Adjoint problem | A posteriori error analysis | Generalized green's function | Elliptic system | Multiscale methods | MATHEMATICS, APPLIED | goal-oriented error estimates | projection error | adjoint problem | elliptic system | multiscale methods | generalized Green's function | operator decomposition | a posteriori error analysis

Finite element method | Error rates | A posteriori knowledge | Approximation | Error analysis | Thermal decomposition | Adjoints | Coefficients | Physics | Linearization | Projection error | Goal-oriented error estimates | Operator decomposition | Adjoint problem | A posteriori error analysis | Generalized green's function | Elliptic system | Multiscale methods | MATHEMATICS, APPLIED | goal-oriented error estimates | projection error | adjoint problem | elliptic system | multiscale methods | generalized Green's function | operator decomposition | a posteriori error analysis

Journal Article

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