The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

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In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

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From the history of Matrix and Transformation and the development of curriculum at home and abroad, putting matrix combined with the transformation, and orienting the study in 2×2 rank matrix, boosting matrix up the geometrical visualization as a algebra objects are a new perspective on knowing matrix.

從矩陣和變換的歷史發(fā)展過程和國內(nèi)外矩陣和變換的課程設(shè)置來看性三级视频久久，把矩陣與變換相結(jié)合，并定位在2×2階上研究矩陣99九九久久综合伊人不卡，增強(qiáng)作為代數(shù)對象的矩陣的幾何直觀性黄频污欧美激情，是認(rèn)識(shí)矩陣的一個(gè)新視角。

We make the following assumption for When 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of Least squares estimate have been discussed in many documents. Considered 2 is nonnegative definite matrix, this thesis derives Best linear unbiased Estimate of parameter matrix B and estimable parameter function KBL under the meaning of matrix nonnegative definite and the property of maximum probability of BLUE is investigated.

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Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩陣的求解由于（2）中的基本矩陣的列向量滿足微分方程A18以下勿进色禁网站色费看，進(jìn)而這個(gè)矩陣本身就滿足矩陣微分方程在线欧美黄片。

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

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As the widely used resin matrix and composites, two kinds of epoxy matrix and its CF/epoxy composite and GF/composite have different mechanics property under different temperature. The result shows that the thermal property of the composite mainly depends on the matrix. If the matrix can resist high temperature, its composite can also have high strength under high temperature. resin matrix composite, thermal resistance, thermal deformation coefficient, severity retentivity ratio

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At first, the paper quote a kind of special matrix ---sign symmetric matrix , anti sign symmetric matrix , weakly sign symmetric matrix and introduced some important results in spectral property about them from some bibliographies. And then, the paper extended the formerly results and gave more general conclusions about spectral property of sign symmetric matrix.

本文首先引入了一類特殊矩陣的概念——符號(hào)對稱矩陣日韩欧美亚综合视频，反符號(hào)對稱矩陣以及弱符號(hào)對稱矩陣色小说亚洲色图，在相關(guān)文獻(xiàn)中對這類矩陣譜特征的已經(jīng)有了一些結(jié)論，本文在前人研究的基礎(chǔ)上將相關(guān)結(jié)論做了進(jìn)一步的推廣，得出了有關(guān)這類符號(hào)對稱矩陣譜特征的更一般性的結(jié)論美女A片一级a_级a毛片。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

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The method according to claim 6, for manufacturing a blade wherein a part external to the shell comprises a blade rooting part having at least one attachment bar, in which an end portion for linkage to a hub of said rotor is fitted with a laminate attachment, also comprising thermoplastic composite, and extending said at least one spar bar housed in the shell, the method further comprising the step of producing the elementary piece comprising the at least one spar by producing each attachment bar and the spar bar in the form of a strip of continuous and unidirectional reinforcing fibres which are agglomerated by said thermoplastic matrix, obtained by pultrusion at a melting temperature of the matrix, of several plies of continuous and unidirectional fibres which are agglomerated by said matrix, and, if said rooting part comprises at least two attachment bars, each one of which respectively extends one spar bar, in superimposing parts of corresponding strips forming the spar part housed in the shell, with interposition of at least one ply of continuous and unidirectional fibres which are agglomerated by said matrix between the adjacent superimposed strip parts, and fitting a removable tool, in the shape of a wedge, between parts held spaced from each other of two neighbouring strips, to form two attachment bars of the rooting part, then arranging the strips in a mould, and inserting each linkage end portion of a pultruded strip between two laminate elements of the attachment, to superimpose all the laminate elements of the attachment, closing the mould and compacting its contents under pressure and at a melting temperature of said thermoplastic matrix, and solidifying the matrix by cooling to rigidify the spar thus obtained with the laminate attachment solidly attached to its rooting part.

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