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Linear Algebra and its Applications, ISSN 0024-3795, 11/2018, Volume 556, p. 238
The Candecomp/Parafac decomposition (CPD) of the tensor whose maximal dimension is greater than its rank is considered. We derive the upper bound of rank under... 
Mathematical problems | Tensors | Matrix | Computation | Upper bounds | Mathematics | Polynomials | Decomposition | Compounds
Journal Article
Linear Algebra and its Applications, ISSN 0024-3795, 10/2017, Volume 531, p. 318
This paper is the second part of [15]. Taking advantage of the special structure and properties of the Hamiltonian matrix, we apply a symplectically similar... 
Dynamic structural analysis | Algorithms | Matrix | Asymptotic properties | Linear equations | Asymptotic methods | Convergence
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2011, Volume 250, Issue 4, pp. 1876 - 1908
This paper examines a class of Kirchhoff type equations that involve sign-changing weight functions. Using Nehari manifold and fibering map, the existence of... 
Kirchhoff type equation | Fibering map | Sign-changing weight | Nehari manifold | CONVEX NONLINEARITIES | GLOBAL SOLVABILITY | SEMILINEAR ELLIPTIC-EQUATIONS | POSITIVE SOLUTIONS | PRINCIPLE | EXACT MULTIPLICITY | MATHEMATICS | CONCAVE | BIFURCATION
Journal Article
International Orthopaedics, ISSN 0341-2695, 3/2019, Volume 43, Issue 3, pp. 605 - 610
For opening-wedge high tibial osteotomy, previous studies have shown that most osteotomies were anterior-inclined. The purpose of this study was to determine... 
Tibial slope | Anteroposterior translation | Medicine & Public Health | Osteotomy | Orthopedics | Patellofemoral joint degeneration
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2018, Volume 556, pp. 238 - 264
The Candecomp/Parafac decomposition (CPD) of the tensor whose maximal dimension is greater than its rank is considered. We derive the upper bound of rank under... 
Homotopy method | Tensor | Parallel factors | Canonical decomposition | MATRIX | MATHEMATICS, APPLIED | ALGORITHM | RANK | 1) TERMS | ARRAYS | MATHEMATICS | CANONICAL POLYADIC DECOMPOSITION | OPTIMIZATION | IDENTIFIABILITY
Journal Article
Numerische Mathematik, ISSN 0029-599X, 11/2019, Volume 143, Issue 3, pp. 555 - 582
This article focuses on computing Hamiltonian matrix exponential. Given a Hamiltonian matrix $$\mathcal {H}$$ H , it is well-known that the matrix exponential... 
Mathematical Methods in Physics | 15A24 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 15A22 | 65F30 | 34A12 | Mathematical and Computational Engineering | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2017, Volume 531, pp. 318 - 355
This paper is the second part of . Taking advantage of the special structure and properties of the Hamiltonian matrix, we apply a symplectically similar... 
Symplectic pairs | Matrix equations | Matrix Riccati differential equations | Convergence rates | Structure-preserving doubling algorithms | Structure-preserving flows | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE ANALYSIS | RICCATI DIFFERENTIAL-EQUATIONS | Analysis | Algorithms | Differential equations
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 11/2012, Volume 236, Issue 17, pp. 4166 - 4180
The Green’s function approach for treating quantum transport in nano devices requires the solution of nonlinear matrix equations of the form , where and are... 
Green’s function | Weakly stabilizing solution | Nonlinear matrix equation | Structure-preserving algorithm
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2018, Volume 340, pp. 71 - 88
In this paper, a homotopy continuation method for the computation of nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that the... 
Nonnegative tensor | Z-eigenpair | Continuation method | H-eigenpair | Tensor eigenvalue problem | ITERATION | MATHEMATICS, APPLIED | LARGEST EIGENVALUE | THEOREM | ALGORITHM | PERRON PAIR | HOMOTOPY METHODS
Journal Article
Computer Physics Communications, ISSN 0010-4655, 02/2014, Volume 185, Issue 2, pp. 572 - 577
In this paper, a procedure for computing local optimal solution curves of the cost parameterized optimization problem is presented. We recast the problem to a... 
Bifurcation | Optimization problems | Continuation methods | STATES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DYNAMICS | SYSTEMS | BLOCK ELIMINATION | PHYSICS, MATHEMATICAL
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2007, Volume 99, Issue 4
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 6, pp. A3410 - A3429
In the vibration analysis of high speed trains arises such a palindromic quadratic eigenvalue problem (PQEP) (lambda(2) A(T)+ lambda Q + A)z = 0, where A;Q is... 
PQEP | Palindromic quadratic eigenvalue problem | Solvent approach | Doubling algorithm | Fast train | Nonlinear matrix equation | MATHEMATICS, APPLIED | solvent approach | NONLINEAR MATRIX EQUATIONS | fast train | palindromic quadratic eigenvalue problem | doubling algorithm | nonlinear matrix equation | DOUBLING-ALGORITHM
Journal Article
Linear Algebra and its Applications, ISSN 0024-3795, 09/2011, Volume 435, Issue 6, pp. 1187 - 1192
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2016, Volume 37, Issue 3, pp. 976 - 1001
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 09/2011, Volume 435, Issue 6, pp. 1187 - 1192
We study the matrix equation X+ A X A=Q, where A is a complex square matrix and Q is complex symmetric. Special cases of this equation appear in Green's... 
Doubling algorithm | Nonlinear matrix equation | Stabilizing solution | Complex symmetric solution
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 2011, Volume 435, Issue 6, pp. 1187 - 1192
We study the matrix equation , where is a complex square matrix and is complex symmetric. Special cases of this equation appear in Green’s function calculation... 
Nonlinear matrix equation | Doubling algorithm | Stabilizing solution | Complex symmetric solution
Journal Article
Computer Physics Communications, ISSN 0010-4655, 04/2012, Volume 183, Issue 4, pp. 998 - 1001
Continuation methods are capable of finding multiform solutions by tracking solution curves. However, these methods may fail to track some desired solution... 
Continuation methods | Radially symmetric domain | Rotation invariant solutions | STATES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DYNAMICS | BOSE-EINSTEIN CONDENSATE | PHYSICS, MATHEMATICAL
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 04/2012, Volume 436, Issue 7, pp. 2480 - 2493
Quadratic finite element model updating problem (QFEMUP), to be studied in this paper, is concerned with updating a symmetric nonsingular quadratic pencil in... 
Spill-over | Quadratic model | Incomplete measured data | Model updating | MATHEMATICS | MATHEMATICS, APPLIED | ORTHOGONALITY | Measurement | Models | Algorithms
Journal Article
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