最小二乘解 的英文怎麼說
中文拼音 [zuìxiǎoèrchéngjiě]
最小二乘解
英文
least square solution-
Least squares solution of equation is used to calculate and adjustment transformation matrix at same time, transformation matrix is used to calculate the 3 - axis angle of star sensor. so is very fast and precise
利用方程組的最小二乘解求取轉換矩陣,通過轉換矩陣計算星敏感器的三軸姿態角,使姿態計算和平差同時進行,具有較高的姿態計算精度和計算速度。The least - squares solutions of the inverse problem of anti - centrosymmetric matrices is discussed, and the expression of the solution is obtained
摘要討論反中心對稱矩陣反問題的最小二乘解,得到?解的具體表達式。The paper is built as follows. in chap 1, we introduce the applied context of the minimal norm least square solutions for vandermonde matrix first. the fast algorithm of the minimal norm least square solutions for vandermonde matrix with mxn order and its transpose are presented later through constructing vtv ( or wt ) and seeking their inverses
本文的結構如下:第一章先給出了vandermonde方程組的極小范數最小二乘解的一些實際應用背景,然後通過構造方陣v ~ tv (或vv ~ t )並求其逆矩陣導出了求以m n階vandermonde矩陣及其轉置,以及m n階跳行vandermonde矩陣為系數陣的線性方程組極小范數最小二乘解的快速演算法。Robust partial least - squares study on near - lnfrared spectroscopy of reformed gasoline
重整汽油近紅外光譜的穩健偏最小二乘解析D. x. xie, l. zhang and x. y. hu, least - square solutions of inverse eigenvalue probem of bisymmetric matrices, math. numer sinica, 1 ( 1999 ) 62 - 72
廖安平,謝冬秀,雙對稱非負定矩陣一類逆特徵值問題的最小二乘解,計算數學, 23 : 2 ( 2001 ) 209 - 218Neelam gupta et al developed a constraint solving technique by using the least square error solution
Neelamgupta等人將最小二乘解法用於求解問題2 。Least - squares solution for the inverse problem of real matrices with a submatrix constraint
子陣約束下實矩陣反問題的最小二乘解Least - squares solutions of a class of matrix equation on linear manifolds
線性流行上一類矩陣方程的對稱和對稱半正定最小二乘解Least - squares solutions for inverse problem of anti - hermitian generalized anti - hamiltonian matrices on the linear manifold and optimal approximation problem
線性流形上反埃爾米特廣義反漢密爾頓矩陣反問題的最小二乘解及其最佳逼近問題Least squares symmetric and skew - symmetric solutions of the matrix equation axat bybt
的對稱與反對稱最小范數最小二乘解The least - squares skew - symmetric solution and the optimal approximation on a class of generalized sylvester equation
方程的反對稱最小二乘解及其最佳逼近The minimal norm solutions of the equation f4 ( x ) = 0 over srmxm are derived, and also the necessary and sufficient conditions for the existence of and the general expressions of the skew - symmetric solution of the equation f4 ( x ) = 0 are obtained, the related l - s problem f4 ( x ) = min is solved. 5. the necessary and sufficient conditions for the existence of and the general expressions of the skew - symmetric solution of the generalized sylvester equation f5 ( x, y ) = 0 are obtained, and the related optimal approximation solution is obtained, too
得到了矩陣方程f _ 4 ( x ) = 0在sr ~ ( m m )上的極小范數解,同時導出了此方程具有反對稱解的充分必要條件和解的通式,解決了相應的l一s問題人( x )二min . 5 .得到了廣義sylvester方程兒( x , y ) = 0具有反對稱最小二乘解的充分必要條件和解的通式以及解的最佳逼近問題的解,導出了幾( x , y )二0具有置換對稱解的充分必要條件,解的通式及解的最佳逼近問題的解Solving linear equations arise in a surprising number in the computing problems of engineering, but sometimes they are unsolvable. in this paper fast algorithms are presented which compute the minimal norm least square solutions for linear equations with special rectangular matrices coefficients, such as vandermonde matrices, toeplitz matrices, loewner matrices etc. and then, this paper presents an algorithm of computing the left inverse or right inverse for these special rectangle matrices
工程中的計算問題大部分都可轉化成求解線性方程組的問題,而這些線性方程組有的時候是不相容的,本文研究以一些特殊的長方矩陣為系數陣的不相容方程組? ? vandermonde方程組, toeplitz方程組, loewner方程組等的極小范數最小二乘解的快速演算法,以及求這些特殊矩陣的左逆及右逆的快速演算法。The approaches of linearity error and roundness error evaluating are presented, among which the least square method is emphasized. the conclusion that only when the little error assumption or little departure assumption are fulfilled the general least square algorithms are the suitable least square solution is provided
重點研究了圓度誤差評定的最小二乘方法,指出只有滿足「小誤差假設」和「小偏差假設」 ,最小二乘通用演算法的評定結果才是嚴格意義上的最小二乘解。Abstract : by applying the matrix rank method, in this note, the general expressions of the common least - square solutions to the matrix equations ax = c, xb = d is deduced, the extremal ranks of the common least - square solutions is obtained
文摘:通過使用矩陣秩方法,我們給出了矩陣方程組ax = c , xb = d的公共最小二乘解的通解表達式,以及公共最小二乘解的極大秩和極小秩When the solution of equations is unique, unique solution is given ; when the number of the solution of equations is infinite, mininum norm solution is solved ; when the solutions of equations don ' t exist, the mininum norm least squares solution is solved
若方程組有唯一解,求出其唯一解;若方程組有無窮解,求出其極小范數解;若方程組無解,求出其極小范數最小二乘解。Abstract : a simple method of searching the least squares solution to the contradictory matrix equation ax = b is given by means of elementarily transforming of the matrices
文摘:用矩陣初等變換的方法給出了求不相容矩陣方程ax = b最小二乘解的一種簡便方法。A path - wise test data generation framework is proposed in this thesis, whose fundamental algorithm is the improved method. this framework adopts a constraint solver using linear programming and linear ( mixed ) integer programming methods for w on which all of the predicate functions with respect to the input variables are linear. for w on which there is nonlinear function ( s ) with respect to the input variables
該框架以改進后的迭代鬆弛法為核心演算法,對于謂詞函數均為輸入變量的線性函數的程序路徑,採用基於線性規劃、線性(混合)整數規劃的約束求解器;對于謂詞函數中含有輸入變量的非線性函數的程序路徑,採用線性規劃、線性(混合)整數規劃和最小二乘解法相結合的約束求解器。Iterative method of 3rd order for solving nonlinear equations
求線性方程組最小二乘解的一種方法Fast algorithms for the minimal norm least square solutions of loewner matrix
方程組極小范數最小二乘解的快速演算法分享友人