In this paper, an extended divide and conquer algorithm is intended proposed, which is for solving the real symmetric band generalized eigenvalue problem under distributing environment Eigenvalue partition theorem is presented and proved Based on divide and conquer by extension, this algorithm computes generalized eigenpaires of symmetric band matrix pencil by bisection and generalized Rayleigh quotient iteration Theoretic analysis and numerical results show that this algorithm is better than the classic software package LAPACK when bandwidth is small and the scale is large Combined with multisection, which has good parallelism, it got good effects under distributed environments

提出了分布式環(huán)境下計算對稱帶狀廣義特征值問題的一種擴展分治算法999免费视频，給出了特征值分割定理及其證明算法在擴展分治的基礎(chǔ)上日韩视频在线观看国产，利用二分壓縮結(jié)合廣義Rayleigh商迭代計算廣義特征對理論分析和數(shù)值實驗表明，對于窄帶寬大規(guī)模的廣義特征值問題人人草公开操，該分治算法明顯優(yōu)于LAPACK軟件包結(jié)合并行性好的多分法先锋影音AV网站，在分布式環(huán)境下獲得了很好的并行效果1 引言本文研究了對稱帶狀廣義特征值問題Ax =λBx ( 1)的并行計算，其中美女扒开腿让我爽视频软件网站，A 黄片乱广一，B均為半帶寬為r的n階實對稱帶狀矩陣且其中之一是正定的本文總假設(shè)B是正定的求解此問題有兩種傳統(tǒng)方法，第1種方法是通過計算矩陣B的Cholesky分解欧美一级特黄大片色欧美精，將問題( 1)轉(zhuǎn)化為標(biāo)準(zhǔn)特征值問題[1～3] 小伙子操逼的黄片毛片毛片，進(jìn)一步

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下幾個方面的結(jié)果： 1、利用圖度平方和的De Caen不等式和Cauchy不等式給出單圈圖的最大Laplace特征值僅依賴于頂點數(shù)的嚴(yán)格的上下界www.zxdwt.com；利用樹的Laplace理論給出了單圈圖次小Laplace特征值的一個上界www.91小国产在线观看，并刻畫了達(dá)到該上界的極圖深夜A级毛片五月综合婷香久久；利用子圖的連通分支的頂點個數(shù)給出了單圈圖次大Laplace特征值的一個上界，并給出了單圈圖次大Laplace特征值一個理論上的一個求法一级老黄片小视频小电影；利用單圈圖的階數(shù)給出了其一般Laplace特征值的一個上界国产一区免费视频；利用單圈圖的匹配數(shù)給出其Laplace矩陣譜在區(qū)間[0，n]上的分布情況黄色视频暴力免费版。

We then diagonalize the matrix C and obtain the eigenvalue spectrum and eigenvectors. The large eigenvalues which go beyond the upper bound of the random matrix, i.e., the Wishart matrix, reflect the local correlations between stocks. The largest eigenvalue corresponds to the market mode, and next large eigenvalues represent the interactions between stocks in a same sector.

進(jìn)一步黄色一二区在线播放，通過對角化，我們得到矩陣C的特征值譜和特征向量男人扎爽进女人j网站视频无遮挡，超過隨機的Wishart矩陣特征值譜上邊界的特征值反映了股票間的局域關(guān)聯(lián)，其中最大的特征值對應(yīng)于市場模式www久久99com，其余的次大特征值代表了同一板塊內(nèi)股票間的相互作用日韩毛片在线中文字幕不卡。

First scanning the known handwriting materials then number them ,In pretreatment, we convert the valid part of the image into a standard size, as images carries out duotone and go throw off chirp handling in order to achieve better effect.draw features from the known handwriting materials with the Co-occurence,especially,we divided a copy of handwriting into 25 little pieces with the size of 128*128 ,drawing features from every little piecese with four directions(0 degree, 45 degrees, 90 degrees as well as 135 degrees) and calculate the four major feature values( veins and the statistical quantity of veins contrast and the statistical quantity of veins consistency Shang the statistical quantity of statistical quantity as well as the veins correlation of gray scale ), preservation all the feature value that drawn from all known ma terials to the handwriting characteristic database,then input the unknown handwriting materials, also using the method of the Co-occurence to draw those features, recycling the minimum European Distance law match the unknown writing material feature value with the handwriting characteristic feature database, export the label of the known hand writing materials which is most similar to the unknown material with minimum European Distance, and then we can confirm who is the author of the unknown material.

首先將筆跡材料作為圖象掃描輸入，并對其進(jìn)行編號成年人视频网站免费。預(yù)處理部分可將筆跡圖象的有效部分規(guī)范化到一個統(tǒng)一尺寸先锋影音官网，接著對其進(jìn)行二值化和去除噪聲的處理，以便于更好的提取圖像的特征又粗又爽又黄的吃奶视频。在此我們采用了灰度共生矩陣法提取手寫筆跡材料的紋理特征高清无码乱伦a，與以往有所不同的是，我們將一份手寫材料分割成64塊大小為80*80象素的子圖象一级黄色免费无码，每個小塊都從四個方向（0度国产无码视屏在线、45度、90度以及135度）來更全面的提取特征亚州a综合图片一区二区，并計算出四個最主要的特征值（紋理一致性的統(tǒng)計量亚洲小说图片、紋理反差的統(tǒng)計量、紋理熵的統(tǒng)計量以及紋理灰度相關(guān)性的統(tǒng)計量）一级做α爱过程免费视频，將從所有已知材料提取的特征值保存到紋理特征庫中97在线超级对对碰免费，對于待檢手寫材料，同樣采用灰度共生矩陣的方法提取其紋理特征一级毛片久久精品，再利用最小歐氏距離分類法將從待檢手寫材料中提取的特征值與紋理特征庫中的特征值進(jìn)行比對8×8x永久华人免费网址入口，與歐氏距離比對值最小的相匹配，輸出匹配成功的原材料的標(biāo)號国产168页视频，進(jìn)而識別出待檢材料書寫者的身份国产午夜精品理论免费视频。

Therefore, in order to offer reference to Readers, based on idempotent matrix, involutory matrix, nilpotent matrix, diagonal matrix, the main character of special matrix are proved in this paper after the Defined and algorithm of eigenvalue of matrix .for example , some problems of the eigenvalues of matrix are solved in a special method based on the eigenvalues of matrix .

為此， 本文除了介紹矩陣特征值的定義和算法外在线视频图区，還圍繞冪等矩陣91精品高清国产九九九、冪零矩陣、對角矩陣丝袜人妻一区二区三区网站、等特殊矩陣給出了其主要性質(zhì)并加以證明久久影院jiujiure99，同時還介紹了一些特殊矩陣的特征值的算法中文字幕日韩在线，例如：本文利用矩陣的特征值，對與矩陣的特征值相關(guān)的一些典型問題給出了較好的處理方法私人午夜影视。

And the sufficient and necessary conditions are obtained and the uniqueness of T is discussed and an algorithm for solving the inverse problem is provided. The other kind of structure inverse eigenvalue problem is for unitary Hessenberg matrices with positive subdiagonal elements. That is, a unitary Hessenberg matrices with positive sub-diagonal elements can be constructed when its eigenvalues and the eigenvalues of H_(11) and H_(22) are known. Here H_(11) and H_(22) are rank-one modifications of k × k leading principal submatrix of H and of its × remain submatrix respectively. In the end, the uniqueness of H and an algorithm is obtained.

文中首先討論了這三組特征值之間的交錯關(guān)系一级毛片91网站十年网站，接著確定了該逆問題有解的充要條件，并論證了其解的唯一性問題男女内射视频在线观看网站，最后給出了相應(yīng)的數(shù)值算法黄色视频链接你懂的；本文第二個問題解決的是一類不可約的酉Hessenberg陣的逆特征值問題：即一個不可約的酉Hessenberg陣可以由它的特征值、它的前k階秩一修正的順序主子陣的特征值以及它的后n—k階余子陣的秩一修正陣的特征值來確定超97人妻在线公开免费视频，文中最后討論了唯一性和相應(yīng)的算法无码黄片观看不卡。

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.

對周期Jacobi矩陣特征值反問題，通過研究周期Jacobi矩陣與其n-1階主子陣特征值的關(guān)系精品视频只有这里有，給出了周期Jacobi矩陣的一些新的譜性質(zhì)一级A爱在线；利用這些譜性質(zhì)，研究了一類周期Jacobi矩陣特征值反問題久久精品国产99精品九九，用新的方法推導(dǎo)出了該類特征值反問題有解的充分必要條件婷婷五月国产精品一区二区，并討論了解的個數(shù)以及解與解之間的關(guān)系；此外99热嫖妓国语对白，提出了一種新的構(gòu)造周期Jacobi矩陣反問題解的數(shù)值算法综合天天干，并與前人的算法做了一定比較；由于周期Jacobi矩陣特征值反問題和其他很多特征值反問題一樣往往存在多個解www日韩视频，本論文給出了周期Jacobi矩陣反問題解唯一的充要條件国内偷拍视频一区，并發(fā)現(xiàn)周期Jacobi矩陣特征值反問題的解唯一當(dāng)且僅當(dāng)構(gòu)造的矩陣滿足一定的條件；在解唯一的情況下99在精品，給出了構(gòu)造唯一解的數(shù)值算法欧美一级A片又大又爽，并做了相應(yīng)的穩(wěn)定性分析；最后国产55成熟老妇女，提出了一類新的有待于解決的周期Jacobi矩陣特征值反問題色8久久综合九色综合欧美9。

Firstly, an inverse eigenvalue problem for Jacobi matrices is presented: we could construct the Jacobi matrix T if we know the spectral data: the eigenvalues of T and the eigenvalues of T_1 and of T_2, where T_1 is different to the k × k leading principal submatrix of T only at the position, while T_2 is different to the × remain submatrix only at the (1, 1) position.

首先給出的是一類Jacobi陣的逆特征值問題，即給定三組實數(shù)：一組是Jacobi陣的n個特征值人人操人人干人人擦，一組是只修改了最后一個對角元的它的前k階順序主子陣的特征值精品区二区三区免费A片视频，最后一組是修改了第一個對角元的后n—k階余子陣的特征值，用這些給定的特征值來確定相應(yīng)的Jacobi矩陣jk黄色网站。

The perturbational reanalysis method of repeated eigenvalues and associated eigenvectors of the lineargeneralized eigenvalue problem is further investigated on the basis of the relevant results of previous stud-ies.

本文基于已有研究結(jié)果国产乱子论在线一区二区视频，進(jìn)一步探討了線性廣義特征值問題的重特征值及其特征向量攝動重分析理論和方法，闡述了重特征值情形下攝動重分析方法的一些重要特點老熟女AV午夜，完善了重特征值的特征向量的二階攝動算式欧美一级欧美一级A片，并論證了重特征值攝動法與相異特征值攝動法之間的統(tǒng)一性。

Following from the results of sensitivity analysis of standard eigenvalue problems,the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved,and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained.

以標(biāo)準(zhǔn)特征值問題靈敏度分析的有關(guān)結(jié)論為基礎(chǔ)吹朝A片视频日本一区二区，證明了單參數(shù)非對稱廣義特征值問題半單重特征值的可微性欧美一级精品黄视频，給出了特征值導(dǎo)數(shù)的表達(dá)式和特征向量的級數(shù)展開式欧美性爱视频一区在线观看。以所得結(jié)論為基礎(chǔ)，定義了廣義特征值問題半單重特征值的靈敏度国产一级a做片免费网站，給出了確定矩陣對中敏感元素的方法

characteristic value matrix：特征值表

characteristic value inheritance 特征值繼承 | characteristic value matrix 特征值表 | characteristic value record 特征值記錄

characteristic value：特征值

characteristic point 特性點 | characteristic value 特征值 | characteristics 特征

characteristic value assignment：特征值分配

characteristic value assignment screen 特征值指定屏幕 | characteristic value assignment 特征值分配 | characteristic value check 特征值檢查

characteristic value inheritance：特征值繼承

characteristic value description 特征值描述 | characteristic value inheritance 特征值繼承 | characteristic value matrix 特征值表

characteristic value description：特征值描述

characteristic value dependency 特征值依賴 | characteristic value description 特征值描述 | characteristic value inheritance 特征值繼承

eigenvalue problem：特征值問題

最優(yōu)特征值:dominance eigenvalue | 特征值問題:eigenvalue problem | 逆特征值:Inverse eigenvalue

eigenvalue problem：特征值間題

特征值校正:eigenvalue correction | 特征值間題:eigenvalue problem | 特征值法:the eigenvalue method

generalized inverse characterize value problems of matrices：廣義逆特征值問題

矩陣廣義逆特征值問題:generalized inverse eigenvalue problems... | 廣義逆特征值問題:generalized inverse characterize value problems of matrices | 抽象廣義矢量平衡問題:Abstract generalized vector equilib...

proper value of matrix：方陣的特征值(固有值)

特征值;固有值 proper value | 方陣的特征值(固有值) proper value of matrix | 特征(固有)向量 proper vector

eigenvalues：計算矩陣的特征值

EigenConditionNumbers 計算數(shù)值特征值制約問題的特征值或特征向量的條件數(shù) | Eigenvalues 計算矩陣的特征值 | Eigenvectors 計算矩陣的特征向量