數值線性代數 的英文怎麼說

中文拼音 [shǔzhíxiànxìngdàishǔ]
數值線性代數 英文
numerical linear algebra
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 代 : Ⅰ動詞1 （代替） take the place of; be in place of 2 （代理） act on behalf of; acting Ⅱ名詞1 （歷...
  • 數值 : numerical value; numerial number; figure; magnitude; value數值表 numerical tabular; 數值天氣預報 ...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  1. For a class of quadratic finite element diseretization systems of an elliptic boundary problem with jump coefficients under the unstructured quadrilateral grids, we are concerned with two kinds of quadratic lagrangian finite element equations, by analyzing the relationship between the linear finite element and quadratic finite element basis functions, a hew amg method is designed

    摘要針對一類帶間斷系數的橢圓邊值問題，在非結構四邊形剖分下，討論了兩種二次拉格朗日有限元方程的代數多重網格法，通過利用雙線性元和二次元基函數之間的表示關系，給出了一種新的網格粗化演算法和構造提升運算元的代數途徑。
  2. The new algorithm bases on bisection and secant iteration, which is different cuppen ' s method and newton iteration. the results of theoretical analysis and numerical testing show that convergent rant of our algorithm is obviously faster that of the classical algorithm

    該演算法以割線法迭代為基礎，明顯不同與傳統的newton迭代法，理論和數值實驗表明改進的演算法的收斂性比經典演算法好
  3. The signal we named it fundamental wave ; according to the fundamental wave, coefficients of the fundamental wave can be lined in a sequence. when the unique of the dissolve of the fundamental wave can be confirmed, the sequence of the coefficients can be regarded as one of representation forms of the signal itself ; theory of dissolvable signal shows that when order of the matrix of fundamental wave sampling equals to number of fundamental waves, the sequence of the sampling values from sampling points must be matched one by one with the sequence of the coefficients of fundamental waves. the sampling composed by sequences of the sampling values must be full sampling ; the relevant deductions of the theory of dissolvable signal shows that when sampling the signal, sampling frequency must be lager than the ratio of the number of fundamental waves to the occupation time of the fundamental waves ; to band - limited signals, when the fundamental wave is a sine signal, the results from the relevant deductions of theory of dissolvable signal is coherent to the classic sampling theory

    本文通過分析認為，當信號集中的任一信號可表示為一系列已知信號的線性代數和時，信號集便構成可分解信號集，已知信號稱為基波信號；對可分解信號而言，基波系數構成一序列，當對指定的基波信號集分解唯一確定時，系數序列本身便是信號的一個表示；可分解信號采樣定理指出當基波樣值矩陣的秩等於基波數時，則由采樣點處的采樣樣構成的樣值序列必與基波系數序列一一對應，從而由該樣值序列構成的采樣必為完全采樣；可分解信號采樣定理中的推論指出，對信號集進行采樣，采樣頻率必須大於其信號分解的基波數與其對應時長之比；對有限帶寬信號，若基波信號為正弦信號時，由可分解信號采樣定理推論給出的結論與經典采樣定理一致。
  4. Furthermore, the dq value ranges of profile multifarctal spectra in different landform types and in different directions of the same sections perform different properties and anisotrpies. it can be concluded that the landscape fractal properties depends closely on the int ensity, manner and inhomogenity of exogenic and inogenic processess, and with the properties, we can study quantatively the dynamic geomorphic process. by using the same methods just above, local fractal dimensions d, crossover length tc and the multifractal spectra dq - q of two large - scale landform profiles ( across and along tianshan mountain ranges respectively ) are calculated. the results show that in the studied scaling range the two profiles perform different scaling properties, and both of them can be divided to three evident different linear scaling subsections

    不同類型地貌區二維地貌表面也表現出多度域分形特徵，而且隨著觀測尺度的增加，每個區間的分維值均表現為依次減小，表明外營力作用的影響逐漸被內營力作用所取代：不同類型地貌區在相應區間的分維值表現為高山區中低山區盆地區，體現了不同類型地貌表面粗糙性或復雜性的差異，因此分維值大小可作為地貌表面外營力侵蝕作用強度的重要指標：利用標度區的間斷點和各種地貌類型表面分維值或宏觀效應趨於一致，提出5 - 6km左右可作為地貌的宏觀臨界點，並且與利用地貌剖線研究所得到的5km這一數值是基本吻合的。
  5. For obtaining the numeral solutions of round elastic plates in axisymmetrical deformation with varying - thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field, by establishing the equations of motion, the equations of distortion, the equations of lorentz force, the equations of electronic dynamic mechenical, and adopting iterative method, we gained the nonlinear magneto - elastic calculation method and outcome of current - carrying shell, and gained the influencing degree toward mechanical parameter of varying thickness round ferreous plates in the electromagnetic field and mechanical field

    摘要為了獲得內邊界固定的環形導電薄板在均布力與橫向磁場作用下的變形問題的數值解，通過建立運動方程、變形方程、電動力學方程和洛侖茲力方程，運用迭代法得出了載流板殼的非線性磁彈性的計算方法和結果，以及機械場、電磁場對鐵質變厚度圓板各力學參量的影響程度。
  6. Third, based on the non - linearity feature of the system, the lmf algorithm is given by using the non - linearity least square optimal method. the simulating results show that the accuracy of the algorithm approaches the cramer - rao - bound. finally, the radial based function network localization algorithm is present for bistatic sonar

    為了克服lmf演算法在進行迭代時依賴于初始值的缺點，根據人工神經網路在求解非線性問題方面的特點，提出了用徑向基函數網路方法來進行雙基地聲吶定位的優化演算法。
  7. Calculus, differential equations, linear algebra, statistics, computer science and at least one in numerical analysis, matrix algebra or computer systems

    微積分，微分方程，線性代數，統計，計算機科學和至少一數值分析，矩陣代數或計算機系統
  8. The property shows that the maximal solution is well - conditioned. two new iteration methods for finding the maximal solution are proposed. of these two methods, one is a linearly convergent iteration without matrix inversion, and one is related to newton s method and quadratically convergent

    這2種方法，一種是線性收斂的，其優點是迭代過程不需要求矩陣的逆另一種是二次收斂的，數值試驗的結果表明該方法在計算速度和精度方面都明顯地優于現有的其他幾種迭代方法。
  9. Theory of portfolio optimization is an important part of the modern ? nance in - vestment theories, which uses mathematical facilities such as convex analysis, random analysis, nonsmooth analysis, ( nonlinear ) programming etc, combined with the mean - variance method the basic method of modern portfolio theory. by setting up mathe - matical models, discussed the investment rules of ? nance market and o ? ered theoretic guide for investors

    投資組合優化理論是現代金融投資理論的重要組成部分，它運用凸分析、隨機分析、非光滑優化、 （非）線性規劃等數學工具，並與現代投資組合理論的基本方法均值方差方法相結合，通過建立數學模型討論金融市場投資規律並為個人或機構投資者提供理論指導。
  10. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. the finite - difference of governing equations with fourth - order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations. the combination of global and local methods is implemented, and a new iterative formula is derived

    對于曲線坐標系下的拋物化穩定性方程，文中發展了求解的高效數值方法:引進法向變換，使得在臨界層與壁面之間的擾動量變化最快的區域有更多的法向網格點;導出包含邊界鄰域在內的完全四階精度的法向有限差分格式，這對方程精確離散至關重要;採用全局法和局部法相結合的方法及其新的迭代公式，大大加速收斂並得到更精確的特徵值。
  11. In this paper the response surface method ( rsm ) is introduced into the structure optimization of linear fire work departing installation, which make the target fuction explicit, adopt the big finite element procedure to numerically simulate the departing process of the fire work departing installation instead of the expensive substance experiment, establish reasonable optimization model and resolve it, the final result is satisfied, and analyse the question presented during optimization process in detail

    本文把響應面方法引入到線性火工分離裝置的結構優化中，使得優化模型中的目標函數顯式化，採用大型有限元軟體對線性火工分離裝置的分離解鎖過程進行數值模擬，代替了代價昂貴的實際試驗，建立了科學合理的優化模型並求解，最終得到令人滿意的優化結果，並對優化過程中出現的問題進行了細致的分析。
  12. Based on the saint - venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of preissmann weighted implicit four - point scheme are solved with the netwon - raphson method, which raises the accurate of the numerical solution, and the convergence of the numerical solution is discussed, 2

    用newton方法直接求解按preissmann加權四點格式離散擴展形式的saint - venant方程組所得的非線性代數方程組，提高了數值解的精確性，並對數值解的收斂性進行了討論。
  13. The high - performance solution of sparse linear algebra equations is very important in solving many problems from science and engineering applications, including computational fluid, simulation and design of materials, data processing in oil exploitation and earthquake prediction, numerical forecast of weather, and numerical simulation of nuclear blast

    稀疏線性代數方程組的高效求解是許多科學與工程計算的核心，如計算流體力學、材料模擬與設計、石油地震數據處理、數值天氣預報從核爆數值模擬等都離不開稀疏線性代數方程組的求解。
  14. A great lot of analysis and experimental results indicate that the experiential formula can give more exact order than traditional methods, such as a1c, b1c, cat and svd

    大量的試驗與計算機模擬表明，該經驗公式在簡訊號的分析中優于傳統的信息量準則以及基於線性代數方法的奇異值分解（ svd ）定階演算法。
  15. This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices

    此課程提供了對線性代數嚴謹的處理，包括向量空間、線性方程組、基底、線性獨立、矩陣、行列式、特徵值、內積、二次式、和矩陣的標準型式。
  16. About dirac eigenvalue problem with general two points " liner algebra, corresponding operator of which often is non - self - adjoint operator

    對於一般兩點線性（代數）邊界條件下的dirac特徵值問題，相應的運算元一般說是非自伴的。
  17. The assignments will have both theoretical and computational questions. the preferred language of this class ( and of numerical linear algebra, in general ) is matlab ?

    作業含理論的問題，同時也有使用電腦來解答的問題。本課程建議採用的語言（也是一般數值線性代數所採用的語言）是matlab ? 。
  18. Review of linear algebra, applications to networks, structures, and estimation, lagrange multipliers, differential equations of equilibrium, laplace ' s equation and potential flow, boundary - value problems, minimum principles and calculus of variations, fourier series, discrete fourier transform, convolution, applications

    線性代數回顧，網路，結構以及估計的應用，拉格朗日乘數，平衡態的微分方程，拉普拉斯方程和勢流，邊值問題，最小值原理和變分法，傅立葉級數，離散傅立葉變換，卷積，應用。
  19. It comes up with a new notion, d - solution, which is applied to the distance estimation, by virtue of hilbert space ; furthermore, the dissertation has gained a necessary condition which is identity of minimum mean - square value in linear function classes, so that d - solution extends minimum mean - square value within the domain of nonlinear function equation or equation system ; and, the dissertation studies in detail the classical moment estimation and maximal likelihood estimation on the parameters of ar ( p ), a series of theorems in the estimation section shows the moment estimators are consistent on the ground of large samples jikewise, those distribution functions of the estimated parameters accord to maximum likelihood estimation converge gauss distribution if the white noise is gaussan

    首先，藉助hilbert空間理論，提出了距離估計的d -解，給出了d -解的必要條件，這個條件在線性函數類里即是極小二乘估計法， d -解的必要條件滿足的方程實質上將極小二乘估計法推廣到多函數及非線性函數類。再而，詳細地研究了多元弱平穩序列自回歸模型ar （ p ）的參數經典的矩的替代估計和極大似然估計，獲得矩的替代估計的一致性的結果。對基於gauss白噪聲假設多元弱平穩序列自回歸模型的均值、白噪聲的協方差陣的極大似然估計都有依分佈收斂到多元正態分佈的統計性質。
  20. The two kind of harmonic balance methods, analytical hbm and dft numerical hba, are used for the analysis of the parametrically excited flexible cam - follower system with consideration of the clearance between cam and follower. through the two methods, the system equation is reduced to a series of nonlinear algebraic equations

    這種非線性代數方程組需要依靠數值計算的迭代法才能求解，而由於問題的復雜性，普通的newton法很難求解，本文採用一種廣泛應用的擬newton法一一broyden方法來求解，得出了出含間隙凸輪系統模型的穩態響應。
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