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| 1 | A projection method and Kronecker product preconditioner for solving Sylvester tensor equations显示文摘The preconditioned iterative solvers for solving Sylvester tensor equations are considered in this paper.By fully exploiting the structure of the tensor equation,we propose a projection method based on the tensor format,which needs less flops and storage than the standard projection method.The structure of the coefficient matrices of the tensor equation is used to design the nearest Kronecker product(NKP) preconditioner,which is easy to construct and is able to accelerate the convergence of the iterative solver.Numerical experiments are presented to show good performance of the approaches. | CHEN Zhen LU LinZhang | 2012 | Science China Mathematics2012，55，6： | 5 |
| 2 | New Alternately Linearized Implicit Iteration for M-matrix Algebraic Riccati Equations显示文摘Research on the theories and the efficient numerical methods of M-matrix algebraic Riccati equation(MARE)has become a hot topic in recent years due to its broad applications.In this paper,based on the alternately linearized implicit iteration method(ALI)[Z.-Z.Bai et al.,Numer.Linear Algebra Appl.,13(2006),655-674.],we propose a new alternately linearized implicit iteration method(NALI)for computing the minimal nonnegative solution of M-matrix algebraic Riccati equation.Convergence of the NALI method is proved by choosing proper parameters for the MARE associated with nonsingular M-matrix or irreducible singular M-matrix.Theoretical analysis and numerical experiments show that the NALI method is more efficient than the ALI method in some cases. | Jinrui Guan Linzhang Lu | 2017 | Journal of Mathematical Study2017，50，1： | 2 |
| 3 | Prediction and validation of tonal noise from underwater propellers显示文摘Prediction and validation of low-frequency line spectrum noise from ship propeller under non-cavitating condition is presented.The flow field is analyzed with potential-based panel method,which requires the hydrodynamic forces to be integrated over the actual blade surface,rather than over the mean-chord surface.Then the pressure data is used as the input for Ffowcs Williams-Hawkings formulation to predict the far field acoustics.At the same time,propeller unsteady force is measured in hull-behind condition in China Large Cavitation Channel(CLCC).Line spectrum noise of the 1st blade passage frequency(BPF) of a five-bladed propeller operating in a non-uniform flow field is got according to the calculated and measured unsteady forces,in which good agreement is obtained,and the 1st BPF noise difference is within 3.0 dB.The investigation reveals that prediction precision of the propeller's 1st BPF unsteady force with panel method have reached engineering practical degree,providing significant parameters for prediction of propeller line spectrum noise. | XIONG Ziying ZHU Xiqing LU Linzhang HUANG Hongbo | 2016 | Chinese Journal of Acoustics2016，35，1： | 1 |
| 4 | Perron complement and Perron root显示文摘 | Linzhang Lu | 2002 | Linear Algebra Appl2002，341，： | 1 |
| 5 | Perron complement and perron root显示文摘 | Lu linzhang | 2002 | Linear Algebra Appl2002，341，： | 1 |
| 6 | Perron complement and Perron root显示文摘 | Linzhang Lu | 2002 | Linear Algebra Appl2002，，341： | 1 |
| 7 | Perron complement and Perron root 显示文摘 | LINZHANG LU | 2002 | Linear Algebra Appl2002，341，： | 1 |
| 8 | An iterative algorithm for the solution of the discrete-time algebraic Riccati equation显示文摘 | Lu Linzhang Lin Wenwei | 1993 | Linear Algebra and Its Applications1993，，188189： | 1 |
| 9 | Block Triangular and Skew-Hermitian Splitting Methods forPositive-Definite Linear System 显示文摘 | BAI Zhongzhi Golub G H LU Linzhang | 2005 | SIAM J Sci Comput2005，26，3： | 1 |
| 10 | The adsorption process during inorganic phosphorus removal by cultured periphyton显示文摘 | Haiying Lu Linzhang Yang Sadaf Shabbir Yonghong Wu | 2014 | Environmental Science and Pollution Research2014，，14： | 1 |
| 11 | 显示文摘 | Lu Linzhang | 2001 | Journal of Xiamen University (Natural Science)2001，40，2： | 1 |
| 12 | On sufficient and necessary conditions for tile Jacobi matrix inverse eigenvalue problem显示文摘 | Linzhang Lu Michael K Ng | 2004 | Numerische Mathematik2004，98，1： | 1 |
| 13 | UNCONDITIONAL SUPERCONVERGENT ANALYSIS OF QUASI-WILSON ELEMENT FOR BENJAMIN-BONA-MAHONEY EQUATION显示文摘This article aims to study the unconditional superconvergent behavior of nonconforming quadrilateral quasi-Wilson element for nonlinear Benjamin Bona Mahoney(BBM)equation.For the generalized rectangular meshes including rectangular mesh,deformed rectangular mesh and piecewise deformed rectangular mesh,by use of the special character of this element,that is,the conforming part(bilinear element)has high accuracy estimates on the generalized rectangular meshes and the consistency error can reach order O(h^(2)),one order higher than its interpolation error,the superconvergent estimates with respect to mesh size h are obtained in the broken H^(1)-norm for the semi-/fully-discrete schemes.A striking ingredient is that the restrictions between mesh size h and time stepτrequired in the previous works are removed.Finally,some numerical results are provided to confirm the theoretical analysis. | Xiangyu Shi Linzhang Lu | 2023 | Journal of Computational Mathematics2023，41，1： | 0 |
| 14 | An Implicitly Restarted Block Arnoldi Method in a Vector-Wise Fashion显示文摘In this paper, we develop an implicitly restarted block Arnoldi algorithm in a vector-wise fashion. The vector-wise construction greatly simplifies both the detection of necessary deflation and the actual deflation itself, so it is preferable to the block-wise construction. The numerical experiment shows that our algorithm is effective. | Qian Yin Linzhang Lu | 2006 | Numerical Mathematics A Journal of Chinese Universities(English Series)2006，15，3： | 0 |
| 15 | Optimal Parameters for Doubling Algorithms显示文摘.In using the structure-preserving algorithm(SDA)[Linear Algebra Appl.,2005,vol.396,pp.55–80]to solve a continuous-time algebraic Riccati equation,a parameterdependent linear fractional transformation z→(z−γ)/(z+γ)is first performed in order to bring all the eigenvalues of the associated Hamiltonian matrix in the open left half-plane into the open unit disk.The closer the eigenvalues are brought to the origin by the transformation via judiciously selected parameterγ,the faster the convergence of the doubling iteration will be later on.As the first goal of this paper,we consider several common regions that contain the eigenvalues of interest and derive the bestγso that the images of the regions under the transform are closest to the origin.For our second goal,we investigate the same problem arising in solving an M-matrix algebraic Riccati equation by the alternating-directional doubling algorithm(ADDA)[SIAM J.Matrix Anal.Appl.,2012,vol.33,pp.170–194]which uses the product of two linear fractional transformations(z_(1),z_(2))→[(z_(2)−γ_(2))/(z_(2)+γ_(1))][(z_(1)−γ_(1))/(z_(1)+γ_(2))]that involves two parameters.Illustrative examples are presented to demonstrate the efficiency of our parameter selection strategies. | Tsung-Ming Huang Ren-Cang Li Wen-Wei Lin Linzhang Lu | 2017 | Journal of Mathematical Study2017，50，4： | 0 |
| 16 | STRUCTURES OF CIRCULANT INVERSE M-MATRICES显示文摘在这篇论文,我们在场 circulant 逆 M 矩阵的结构上的有用结果。它被看那是否 nxn 非否定的 circulant 矩阵 A = Circ [c<sub>0</sub>,c<sub>1</sub>…, c<sub>n</sub>-1 ]不是一个积极矩阵并且不等于到 c<sub>0</sub>I ,如果并且仅当,那么, A 是反的M矩阵在那里存在积极整数 k ,它是 n 的一个合适的因素c<sub>jk</sub>>
0 为 j = 0 , 1 ,-…,[ n-k/k ],另外的c<sub>i</sub>是零并且 Circ [c<sub>0</sub>,c<sub>k</sub>,…, c<sub>n</sub>-k ]是反的M矩阵。结果然后被扩大到所谓的概括 circulant 逆 M 矩阵。 | Yurui Lin Linzhang Lu | 2007 | Journal of Computational Mathematics2007，25，5： | 0 |
| 17 | AN EFFECTIVE INITIALIZATION FOR ORTHOGONAL NONNEGATIVE MATRIX FACTORIZATION显示文摘直角的 nonnegative 矩阵因式分解(ONMF ) 在象数据采矿,信息处理和模式识别那样的许多区域有许多应用程序。在这份报纸,我们基于 Lanczos bidiagonalization 和等级一矩阵的 nonnegative 近似为 ONMF 建议一个新奇初始化方法。数字实验被给证明我们的初始化策略有效、有效。 | Xuansheng Wang Xiaoyao Xie Linzhang Lu | 2012 | Journal of Computational Mathematics2012，30，1： | 0 |
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