## Advances in Matrix Theory and Its Applications: Proceedings of the Eighth International Conference on Matrix Theory and Its Applications : Taiyuan, China, July 16-18, 2008, Volume 1 |

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### Contents

ErXiong Jiang | 4 |

Group Inverse for a Class of Block Matrices over Skew Fields | 13 |

On Convergence of the + Compositions of Matrices over Distributive Lattice GuiYing Chen 21 | 21 |

Some Rank Equalities Related to Drazin Inverse ZeXi Deng XiaoJi Liu 28 | 28 |

On the Positive Definiteness of the Left Semitensor Product of Matrices | 31 |

The Necessary and Sufficient Conditions for Block NonHermitian Positive Definite Matrices Tao Fan 36 | 36 |

A Note on the Proof of lim A1 MaoZhong Fang 44 | 44 |

A Class of Special Matrices and Controllable Analysis ZunHai Gao Kai Zhao Qin Jiang 51 | 51 |

On a Class of Additively Diagonal Stable Matrices JinLiang Shao TingZhu Huang 200 | 200 |

Star Sign Patterns That Require All Distinct Eigenvalues YanLing Shao YuBin Gao 203 | 203 |

Comparison Results for Exclusion Intervals of the Real Eigenvalues of a Real Matrix ... | 207 |

Extreme Ranks of a Quaternion Matrix Expression Subject to Consistent Matrix Equations with Applications ... | 211 |

The kpotence Preserving Maps on the Space of 2x2 Symmetric Complex Matrices XiaoFei S... | 215 |

A Note on a Conjecture of the Maximal Rank of Matrix Expressions Ying Song WenBin Guo 219 | 219 |

Tcongruence Lrelations on Boolean Algebra ShaoQuan Sun Juan Liu GuangBin Wang 223 | 223 |

Practical Criteria for Hmatrices ZhiYan Tai 227 | 227 |

Minimum Quality of Condition Number Related with Wweighted Drazin Inverse | 59 |

Some Conditions Which Make ABf and BAf Similar over Skew Fields | 62 |

On the ogeneralized Orthogonal Matrix Wei Guo Li Xia YiPing Zhang 67 | 67 |

Matrix Operations over a Finite Prime Field SuQing Han FuJiao Ren 75 | 75 |

Distances k Preserving Maps on Matrices over a Ring LiPing Huang 83 | 83 |

Rank Equalities for Some Matrix Expressions Related to Least Squares ginverses with Applications | 85 |

The Spectral Decomposition Method for Hermite Matrix Equation LiXin Jia 95 | 95 |

29 | 103 |

DongFang Li JianLi Zhao CaiQin Song 119 | 119 |

Estimations for the Spectral Radius of Block Iterative Matrices HouBiao Li TingZhu Huang Hong Li 123 | 123 |

A Note on Preconditioners for Nonsymmetric Matrices JianLei Li TingZhu Huang 127 | 127 |

The adiagonal Dominant Matrices According to Circuit and Its Applications Min Li YuXiang Sun 131 | 131 |

On Schur Complements of Weak Block Diagonally Dominant Matrices and Weak Block Hmatrices ... | 135 |

Determinant and Adjoint of Quaternion Matrix Ying Li 139 | 139 |

A Minimal Spectrally Arbitrary Pattern with 2n Nonzero Entries ZhiHua Li YuBin Gao 143 | 143 |

On the Smarandaches Base and the Stiring Matrix FangChi Liang AiWen Jing 147 | 147 |

The Group Inverse of a Partitioned Morphism in a Preadditive Category ... | 151 |

Generalized MoorePenrose Inverse of Morphisms 1 ZuHua Liao 155 | 155 |

A New Solvable Condition to a Linear Matrix Equations over a Regular Ring with Identity ... | 159 |

On Centrosymmetric Solutions of a Quaternion Matrix Equation SiTao Ling TongSong Jian... | 163 |

Selfdual Additive Codes Based of Paley Method Jian Liu RongZu Yu 167 | 167 |

The Equivalent Representation of Block adiagonally Dominant Matrix and Its Application Lei Liu 171 | 171 |

The Weightedsingular Value Partial Ordering XiaoJi Liu 174 | 174 |

Criteria for Generalized Strictly Diagonally Dominant Matrix ZhiJun Liu YuXiang Sun 177 | 177 |

The Methods to Solve Characteristic Values and Characteristic Vectors of the Matrix at the Same Time ... | 181 |

The Symmetric Idempotent Solutions of the Matrix Equation XA B ChunJun Meng XiYan Hu Can Zhon... | 185 |

Leastsquare Solutions for Inverse Problem of Skewsymmetric Orthogonal Skewisymmetric Matrices ... | 189 |

A Necessary and Sufficient Condition for Nonsingular Hmatrices HongMin Mo ShuHuang Xiang 193 | 193 |

The Rank Constrained Symmetric Solution of the Matrix Equation ZhenYun Peng 196 | 196 |

The Inequalities of Hermitian Matrix Trace with Constrained Condition vi BaoGuang Tian DongF... | 231 |

Convergence Analysis of Extrapolated Iterative Methods for Singular Linear Systems | 242 |

Linear Maps Preserving Drazin Inverses of Matrices over PID of chR2 | 250 |

SAOR Preconditioned Conjugate Gradient Method JianGuo Wang QingShan Zhao 258 | 258 |

The Leastnorm of the General Solution to a System of Quaternion Matrix Equations | 266 |

Extreme Ranks of the Solution to a Consistent System of Quaternion Matrix Equations | 273 |

The New Estimation of the Eigenvalues of the Product of Positive Hermitian Matrices | 281 |

The Solution of Inverse Quadratic Eigenvalue Problem for Generalized Centrosymmetric Matrices | 289 |

Determinant Expressions and Properties of the Volume of Parallel Bodies | 296 |

The Preconditioned Iterative Methods for Lmatrices System | 304 |

Perturbation Bounds for Eigenvalues of Commuting Matrices | 312 |

Convergence Theorems for the Splittings of NonHermitian Positive Definite Systems | 319 |

The Solution Hull for a Kind of Interval Romatrix Linear Complementarity Problems | 331 |

Solution of the Matrix Equation AXXB c ZhongZhou Xie XiaoJi Liu 339 | 339 |

The KhatriRao Product of Block Diagonally Dominant Matrices | 346 |

Reverse Order Laws for Weighted Leastsquares ginverses and Weighted Minimun Norm ginverses of the Product of | 354 |

Convergence of the Relative Gain Array of the Matrix A adyt33 | 362 |

96 | 369 |

Ranks of Real Matrices in the Solution to a Pair of Complex Matrix Equations | 378 |

The Optimal Approximation of Generalized Reflexive Matrices Solution for the Inverse Generalized Eigenvalue | 386 |

The Closures of ukorbits of Class Essentially Normal Operators with the Same Spectral Picture as an Dostáls Operator | 394 |

The Bounds Which Are Modulus of Determinant for Positively Stable Matrix with Respect to | 401 |

Extreme Ranks for Block Matrices FengXia Zhang JianLi Zhao LinLin Zhao 409 | 409 |

HuaSheng Zhang QingWen Wang 417 | 417 |

The Weaker Convergence of Matrix Multisplitting Methods for the Linear Complementarity Problem | 433 |

Submatrixconstrained Symmetric Inverse Eigenvalue Problems in Structural Dynamic Model Updating | 457 |

Author Index 484 | 484 |

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