The classic iterative ones need special characters of the coefficient matrix; CG has over linear convergence, but the coefficient matrix is positive definite; Krylov subspace ones can deal with non-symmetric linear systems, but sometimes it must face"collapse"problems.

經(jīng)典迭代法的收斂需要由系數(shù)矩陣的一些特定性質(zhì)來(lái)保證；共軛梯度法具有超線(xiàn)性收斂性激情图片!激情小说，但是系數(shù)矩陣必須是正定矩陣人人干人人操福利；Krvlov子空間法可用于非對(duì)稱(chēng)矩陣問(wèn)題，但可能出現(xiàn)崩潰現(xiàn)象最新91视屏在线免费。

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

將Lyapunov第二方法用于研究常系數(shù)線(xiàn)性系統(tǒng)零解的部分變?cè)獫u近穩(wěn)定性国产av中文字幕，可引出相關(guān)的一些特殊矩陣問(wèn)題，包括部分穩(wěn)定矩陣全国最大的黄色网站、部分位正定矩陣国产免费永久黄色精品、矩陣方程的可解性等。

This condition only requires finding a common positive definite matrix in each maximal overlapped-rule group.

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This condition only requires finding a common positive-definite matrix in each maximal overlapped-rule group. It can reduce the difficulty of former stability analysis approaches.

該條件只需在各最大交疊規(guī)則組內(nèi)分別尋找公共的正定矩陣狼友视频-首页，減小了以往穩(wěn)定性判定方法的局限性和難度欧美黄色网站址。

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系數(shù)矩陣為分塊三對(duì)角矩陣的線(xiàn)性代數(shù)方程組的新型二次PEk方法以及其外插迭代二次EPEk方法，對(duì)系數(shù)矩陣為對(duì)稱(chēng)正定矩陣情形国产淑女色视频，證明了新型二次PEk方法和二次EPEk方法的可解性和收斂性

The calculus of maxima and ''.

正定積分的極大與極小的微積分學(xué)激情.com。

Some sufficient and necessary conditions of the full symmetric real matrix is full definite matrix are discussed.

討論了全對(duì)稱(chēng)實(shí)矩陣是全正定矩陣的幾個(gè)充分必要條件。

Then A is positive semidefinite, negative definite and negative semidefinite.

則A是半正定能看av网站，負(fù)定青草视频免费看，半負(fù)定的。

Positive semi-definite matrices are positive definite if and only if they are nonsingular.

正半定矩陣是正定的激情一级，當(dāng)且僅當(dāng)它們是非奇異矩陣日本玖玖玖在线视频。

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文獻(xiàn)[1]中定理3.3的不準(zhǔn)確，同時(shí)給出了當(dāng)線(xiàn)性方程組Ax=b的系數(shù)矩陣A為對(duì)稱(chēng)正定陣時(shí)第一次处破女18分钟网站，PSD迭代法收斂的一個(gè)充分條件與之比較国产女主播喷水高潮视频，并且在§2.3中用實(shí)例說(shuō)明了對(duì)于一部分矩陣而言本文得到的充分條件廣于[1]中定理3.3的充分條件；另一方面91视频精彩，按照文獻(xiàn)[14]的方法，我們從PSD迭代法的特征值λ與其Jacobi迭代矩陣B的特征值μ的關(guān)系式：出發(fā)爱爱大学网址入口，在不同條件下對(duì)PSD迭代法的收斂性和最優(yōu)參數(shù)以及最優(yōu)譜半徑進(jìn)行了完整的分析：(1)在系數(shù)矩陣A為(1欧美三级片免费看，1)相容次序矩陣且對(duì)角元全不為零，其Jacobi迭代矩陣B的特征值全為實(shí)數(shù)的條件下一级a做一级a做片性视，給出了PSD迭代法收斂的充分必要條件亚州熟妇久久国内精品，此結(jié)果與[9]中的定理1等價(jià)免费人妻系列无码专区，此時(shí)最優(yōu)參數(shù)及最優(yōu)譜半徑由[8]得：(2)第三章表3.3中給出了，當(dāng)系數(shù)矩陣A為(1国产在线观看精品5555，1)相容次序矩陣且對(duì)角元全不為零十次啦国产精品91，其Jacobi迭代矩陣B的特征值全為純虛數(shù)或零時(shí)的PSD迭代法的收斂范圍和最優(yōu)參數(shù)，并且我們可以得到當(dāng)0