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[PDF] Top 20 Existence for a matrix equation arising in microelectronics

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Existence for a matrix equation arising in microelectronics

Existence for a matrix equation arising in microelectronics

... The matrix X = diag (x 1 , x 2 , · · · , x n ), x i > 0 for all i = 1, 2, · · · , ...of matrix R contains only zero elements. Equation (1) arises in ...The matrix M is the ... See full document

4

ON A NONLINEAR MATRIX EQUATION ARISING IN NANO RESEARCH

ON A NONLINEAR MATRIX EQUATION ARISING IN NANO RESEARCH

... ON A NONLINEAR MATRIX EQUATION ARISING IN NANO RESEARCH ∗ CHUN-HUA GUO † , YUEH-CHENG KUO ‡ , AND WEN-WEI LIN § ...The matrix equation X + A  X −1 A = Q ... See full document

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On a nonlinear matrix equation arising in nano research

On a nonlinear matrix equation arising in nano research

... The matrix equation X + A > X −1 A = Q arises in Green’s function calculations in nano research, where A is a real square matrix and Q is a real ... See full document

28

EXISTENCE OF ALGEBRAIC MATRIX RICCATI-EQUATIONS ARISING IN TRANSPORT-THEORY

EXISTENCE OF ALGEBRAIC MATRIX RICCATI-EQUATIONS ARISING IN TRANSPORT-THEORY

... Juang and I-Der Chen, Iterative solution for a certain class of algebraic matrix Riccati equations arising in transport theory, Transport Theory Statist.. Lin, Convergence [r] ... See full document

12

Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research

Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research

... introduced a class of nonlinear matrix equations that is wider than those studied earlier in the ...motivation for studying this wider class is from the Green’s function approach for ... See full document

15

Numerical Solution of Nonlinear Matrix Equations Arising from Green's Function Calculations in Nano Research*

Numerical Solution of Nonlinear Matrix Equations Arising from Green's Function Calculations in Nano Research*

... CALCULATIONS IN NANO RESEARCH ∗ CHUN-HUA GUO † , YUEH-CHENG KUO ‡ , AND WEN-WEI LIN § ...approach for treating quantum transport in nano devices requires the solution of nonlinear matrix ... See full document

19

Global existence and stability of solutions of matrix riccati equations

Global existence and stability of solutions of matrix riccati equations

... The equation, with slab thickness z as a parameter, can be analyzed in the context of a dynamical .... for two steady-state solutions X min and X max is provided. In particular, ... See full document

12

Complex symmetric stabilizing solution of the matrix equation X+A^TX^{-1}A=Q

Complex symmetric stabilizing solution of the matrix equation X+A^TX^{-1}A=Q

... the existence of a unique complex symmetric stabilizing so- lution has been proved using advanced results on linear ...interest. In this paper we provide an elementary proof of the existence ... See full document

9

The Shift Techniques for a Nonsymmetric Algebraic Riccati Equation

The Shift Techniques for a Nonsymmetric Algebraic Riccati Equation

... Center for General Education,National Formosa University,Huwei 632, ...Abstract In this paper, we want to analyze a special instance of a nonsymmetric algebraic matrix Riccati ... See full document

22

Complex symmetric stabilizing solution of the matrix equation X plus A(T)X(-1)A = Q

Complex symmetric stabilizing solution of the matrix equation X plus A(T)X(-1)A = Q

... the matrix equation X + A  X − 1 A = Q , where A is a com- plex square matrix and Q is complex ...this equation appear in Green’s function calculation ... See full document

6

EXISTENCE OF SOLUTIONS FOR BERMANS EQUATION FROM LAMINAR FLOWS IN A POROUS CHANNEL WITH SUCTION

EXISTENCE OF SOLUTIONS FOR BERMANS EQUATION FROM LAMINAR FLOWS IN A POROUS CHANNEL WITH SUCTION

... Robinson, The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls.. Wang, On the nonunique solutions of laminar fl[r] ... See full document

6

Existence of multiple positive solutions for a semilinear elliptic equation in R^{N}

Existence of multiple positive solutions for a semilinear elliptic equation in R^{N}

... Series A: Theory, Methods & Applications Comments from the Editors and Reviewers: For further assistance, please visit our customer support site at ...search for solutions on a range of ... See full document

18

On A Doubling Algorithm for The Nonlinear Matrix Equation   when

On A Doubling Algorithm for The Nonlinear Matrix Equation when

... [15], a structure-preserving doubling algorithm (SDA) was proposed for the solution of the nonlinear matrix equation X + A T X −1 A = Q (with Q > ...−1 A lie inside the ... See full document

16

COMPARISON-THEOREMS FOR THE MATRIX RICCATI EQUATION

COMPARISON-THEOREMS FOR THE MATRIX RICCATI EQUATION

... The comparison theorems in which the positivity is defined in terms of positive semidefiniteness were obtained by Royden.. Because of the intrinsic disparity in th[r] ... See full document

9

Homotopy For Rational Riccati Equations Arising In Stochastic Control

Homotopy For Rational Riccati Equations Arising In Stochastic Control

... ciency, for both small and large-scale problems. In contrast, there are not many methods proposed so far for CRREs and DRREs, apart from the inefficient Newton’s methods in [14, 16] and the ... See full document

22

On Global Existence and Blow-Up of Solutions for an Integro-Differential Equation with Strong Damping

On Global Existence and Blow-Up of Solutions for an Integro-Differential Equation with Strong Damping

... GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH STRONG DAMPING Shun-Tang Wu and Long-Yi Tsai ...problem for an integro-differential equa- tion with strong ... See full document

36

Riccati matrix differential equation formulation for the analysis of nonuniform multiple-coupled microstrip lines

Riccati matrix differential equation formulation for the analysis of nonuniform multiple-coupled microstrip lines

... To calculate the input reflection coefficient matrix of ter- minated NCML’s, we derive a differential matrix equation, which is known as the Riccati matrix differ[r] ... See full document

7

THE MATRIX EQUATION X + A(T)X(-1) A = Q AND ITS APPLICATION IN NANO RESEARCH

THE MATRIX EQUATION X + A(T)X(-1) A = Q AND ITS APPLICATION IN NANO RESEARCH

... THE MATRIX EQUATION X + A T X −1 A = Q AND ITS APPLICATION IN NANO RESEARCH ∗ CHUN-HUA GUO † AND WEN-WEI LIN ‡ ...The matrix equation X + A T X −1 A = Q has ... See full document

19

Fast direct solver for Poisson equation in a 2D elliptical domain

Fast direct solver for Poisson equation in a 2D elliptical domain

... 10.1002/num.10080 In this article, we extend our previous work ...2002) for developing some fast Poisson solvers on 2D polar and spherical geometries to an elliptical ...the equation in an ... See full document

10

A NEWTON-TYPE METHOD WITH NONEQUIVALENCE DEFLATION FOR NONLINEAR EIGENVALUE PROBLEMS ARISING IN PHOTONIC CRYSTAL MODELING

A NEWTON-TYPE METHOD WITH NONEQUIVALENCE DEFLATION FOR NONLINEAR EIGENVALUE PROBLEMS ARISING IN PHOTONIC CRYSTAL MODELING

... to a high-dimensional subspace associated with the eigen- value zero and the fact that the desired eigenvalues (with smallest real part) cluster and are close to the zero ...eigenvalues. For the solution of ... See full document

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