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[PDF] Top 20 The Matrix Equation F(A)X - XA = O

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The Matrix Equation F(A)X - XA = O

The Matrix Equation F(A)X - XA = O

... be assumed to be in diagonal form with the eigenvalues of X ordered such that equal eigenvalues are adjacent on the diagonal.. ,k is the ordering of the eigenva[r] ... See full document

61

Effector protease receptor 1 mediates the mitogenic activity of factor Xa for vascular smooth muscle cells in vitro and in vivo

Effector protease receptor 1 mediates the mitogenic activity of factor Xa for vascular smooth muscle cells in vitro and in vivo

... factor Xa, but was inhibited by factor Xa (IC50 = ...factor Xa on various cell types. A factor X peptide duplicating the inter- EGF sequence Leu83-Leu88-(Gly) blocked the binding of ... See full document

9

The iterative methods for solving nonlinear matrix equation X+A⋆X−1A+B⋆X−1B=Q

The iterative methods for solving nonlinear matrix equation X+A⋆X−1A+B⋆X−1B=Q

... In this section, we present some numerical examples to show the effectiveness of the new inversion-free variant of the basic fixed point iteration methods. Hermitian positive defi- nite solutions of matrix ... See full document

10

Iterative Methods for Solving the Nonlinear Matrix Equation X A*XpA B*X qB=I (0p,q

Iterative Methods for Solving the Nonlinear Matrix Equation X A*XpA B*X qB=I (0p,q

... In this paper, we prove that the Equation (1.1) always has the unique positive definite solution by using the fixed point theorem for mixed monotone operator in the normal cone P n ( ) . Furthermore, two different ... See full document

8

Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation X+A* X-2 A+B* X-2B=I

Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation X+A* X-2 A+B* X-2B=I

... X  A * X  2 A  B * X  2 B  I ...identity matrix, A and B are n  n nonsingular complex matrices , ( A * , B * stand for the conjugate transpose of A , B ... See full document

5

Least squares Hermitian problem of complex matrix equation \((AXB,CXD)=(E,F)\)

Least squares Hermitian problem of complex matrix equation \((AXB,CXD)=(E,F)\)

... complex matrix equation (AXB,CXD) = (E, F) with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, ...a matrix-vector product and the Moore-Penrose generalized ... See full document

13

The stability of functional equation min{f(x + y), f(x   y)} = |f(x)   f(y)|

The stability of functional equation min{f(x + y), f(x y)} = |f(x) f(y)|

... { f (x + y), f (x − y) } = f (x)f (y), x, y ∈ G, (1:3) where G is an abelian group and f : G ® ...by f (x) = |a(x)|, where a: G ® ℝ is ... See full document

6

Z = {(f, X, t): (f, X, t) F × X × T , z(f, X, t) = (•X, •t)}, I is the set of inputs,Oi s the set of outputs,

Z = {(f, X, t): (f, X, t) F × X × T , z(f, X, t) = (•X, •t)}, I is the set of inputs,Oi s the set of outputs,

... experimentally obtaining an estimate for the instantaneous probability Y (M, i) that a particular run with a population size M yields, for the first time, on a specified generation i, an individual is satisfying the ... See full document

5

Optimal interpolation grids for accurate numerical solutions of singular ordinary differential equations

Optimal interpolation grids for accurate numerical solutions of singular ordinary differential equations

... Error is inversely proportional to data measurement time. Spending more time measuring data at each location will increase the accuracy of the nu- merical solution of the differential equation. Due to a finite ... See full document

73

Characterization of Relationships Between the Domains of Two Linear Matrix-Valued Functions with Applications

Characterization of Relationships Between the Domains of Two Linear Matrix-Valued Functions with Applications

... D f = {f (X 1 , X 2 , . . . , X k ) | X i ∈ C p i ×q i , i = 1, 2, ...well-known matrix expressions with variable entries as its special cases, such as, A + BX , A + BXC, ... See full document

16

Implication Operator on Intuitionistic Fuzzy Tautological Matrix

Implication Operator on Intuitionistic Fuzzy Tautological Matrix

... fuzzy matrix theory and obtained results in sub-inverse of fuzzy matrix using fuzzy relational ...fuzzy matrix in all fields such as g- inverse, intuitionistic fuzzy linear equation, ... See full document

9

Equivalence Problem of the Painlevé Equations

Equivalence Problem of the Painlevé Equations

... an equation of the form y    F x y y  , ,   to be equivalent to the first and second Painlevé equation under a general point transformation are ... See full document

7

On the difference equation \(x {n+1}=ax {n l}+bx {n k}+f ( x {n l},x {n k} )\)

On the difference equation \(x {n+1}=ax {n l}+bx {n k}+f ( x {n l},x {n k} )\)

... The rest of the paper is organized as follows. In Sect. 2, we study the stability behav- ior and boundedness of the solutions of equation (1.1) and give an illustrative example in support of our analysis. In Sect. ... See full document

14

Effect of Ultrasound and Xylanase Treatment on the Physical Mechanical Properties of Bleached Eucalyptus Kraft Pulp

Effect of Ultrasound and Xylanase Treatment on the Physical Mechanical Properties of Bleached Eucalyptus Kraft Pulp

... The modification on the fiber structure of bleached eucalyptus kraft pulp is a very attractive alternative for improve- ments in the properties of paper production. The enzymatic treatment by xylanases and ultrassonic ... See full document

5

root2.2

root2.2

... Methods such as the bisection method and the false position method of finding roots of a nonlinear equation f (x) = 0 require bracketing of the root by two guesses. Such methods are called bracketing ... See full document

31

Dynamics of difference equation \(x {n+1}=f( x {n l},x {n k})\)

Dynamics of difference equation \(x {n+1}=f( x {n l},x {n k})\)

... Amid the most recent two decades, there has been an extraordinary research of the utiliza- tion of difference equations in the solution of numerous issues that emerge in economy, statistics, and engineering science. ... See full document

14

Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy

Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy

... Look for a solution of the recurrence inequality 4.3b of the form s.. Substitution of the inequality 4.5 in the inequality 4.3b.[r] ... See full document

18

On Positive Definite Solutions of Nonlinear Matrix Equation X   A*X( 1)A = I

On Positive Definite Solutions of Nonlinear Matrix Equation X A*X( 1)A = I

... that X is the unique positive definite solution of (3) if and only if X O is the unique positive definite solution W of the NME (5), which seems to give us a way to compute the unique positive ... See full document

8

On the solvability of a Neumann boundary value problem for the differential equation f(t,x,x′,x′′)=0

On the solvability of a Neumann boundary value problem for the differential equation f(t,x,x′,x′′)=0

... the equation (p(t)x ) + f (t, x, x , x ) = y(t), under appropriate conditions on f , has been studied in ...the equation x = f (t, x, x ... See full document

11

GENETIC RECOMBINATION AND CLONAL SELECTION IN DROSOPHILA MERCATORUM

GENETIC RECOMBINATION AND CLONAL SELECTION IN DROSOPHILA MERCATORUM

... homozygous genotypes+ xa d.f. -f Fitness estimates of the original S-Im and RSB-Br parental genotypes are given in the first and last columns, respectively. Fitness estimates o[r] ... See full document

18

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