The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

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A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

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The mechanism of the least squares approximation that MFNN with finite nodes carried out on a given discrete point set is made, which, for the first time, results in an important theorem.

分析了有限規(guī)模多層前向網(wǎng)絡(luò)用于離散點(diǎn)集上的最小二乘逼近的機(jī)理黑人精品视频55，首次給出了一個(gè)有關(guān)的定理。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

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Exive least-squares solutions, antire?exive least-squares solutions, bisymmetric least-squaressolutions, symmetric and antipersymmetric least-squares solutions, symmetric or-thogonal symmetric least-squares solutions, symmetric orthogonal antisymmetricleast-squares solutions and their optimal approximation to the linear matrix equa-tion AX = B, and solve them successfully. 2. For Problem II, we can convert it to another problem of finding the least-squares solutions with the least norm of a new consistent matrix equation. Onthe base of the solutions of Problem I we can apply the iterative method to get

本文所構(gòu)造的迭代法的優(yōu)點(diǎn)在于先利用法方程變換將求矩陣方程的最小二乘解轉(zhuǎn)化為求一個(gè)相容矩陣方程的解的問題人人澡人人看人人摸，再利用迭代法對(duì)于任意給定的初始矩陣進(jìn)行迭代国产综合男女视频一区二区，均可在有限步內(nèi)迭代出所求問題的一個(gè)解；可將問題II轉(zhuǎn)化為求新方程的極小范數(shù)解的問題99农村一级毛片，同樣用迭代法求解日韩一区黄色小视频，從而系統(tǒng)且全面地解決了問題I、II在約束矩陣類如中心對(duì)稱黄网站色视频免费一级毛片、中心反對(duì)稱日韩-本道黄色网站站、自反矩陣、反自反矩陣国产又黄又爽又色视频在线、雙對(duì)稱久久免费AV片国产精品、對(duì)稱次反對(duì)稱91久久久久精品久久久久久久久、對(duì)稱正交對(duì)稱、對(duì)稱正交反對(duì)稱矩陣中的最小二乘解及其最佳逼近問題日本高清wwwcom。

This paper researchs into the problem on fitting the shell flight-time of anti-aircraft gun by interpolation and quadratic approximation.

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This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

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The solutions of ProblemⅠ,ⅡandⅢare discussed by using the generalized conjugate gradient method. When the equation is consistent, the solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are successfully found; When the equation is inconsistent, the least-squares solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are also found successfully. The generalized conjugate gradient method has the following traits:(1) It can judge automatically the information of solutions.

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In this paper ,we present a class of new factorized quasi-Newton algorithms for nonlinear least squares problems which are based on new quasi-Newton equation and factorized quasi-Newton method.

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This paper considers nonlinear least squares problems,connecting new quasi-newton equations which has a higher-order curvature approximation with factorized quasi-newton method which is symmetric.

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least square error approximation：最小二乘[方]逼近

最平時(shí)延逼近|maximally flat delay approximation | 最小二乘[方]逼近|least square error approximation | 最小檢測(cè)信噪比|minimum detectable signal-to-noise ratio

least significant digit：最小有效數(shù)字

least common right multiple 右最小公倍數(shù) | least significant digit 最小有效數(shù)字 | least squares approximation 最小二乘逼近

least squares estimator：最小二乘估計(jì)量

least squares approximation 最小二乘逼近 | least squares estimator 最小二乘估計(jì)量 | least upper bound 最小上界

maximally flat delay approximation：最平時(shí)延逼近

最平幅度逼近|maximally flat amplitude approxiation | 最平時(shí)延逼近|maximally flat delay approximation | 最小二乘[方]逼近|least square error approximation

Optimization Toolbox：最優(yōu)化工具箱

文章摘要:運(yùn)用MATLAB的最優(yōu)化工具箱(Optimization toolbox)實(shí)現(xiàn)了非線性回歸久久精品免费视频60-70、最佳一致逼近已及約束條件下的最小二乘回歸等現(xiàn)代回歸分析方法,從而能夠更加準(zhǔn)確有效地對(duì)測(cè)量或?qū)嶒?yàn)數(shù)據(jù)進(jìn)行處理.