monotone matrix 中文意思是什麼
monotone matrix
解釋
單調矩陣-
First, we consider an additive schwarz algorithm for the solution of ax 4 - f ( x ) 0, x when coefficient a is an m - matrix and f ' ( x ) 0. by applying the theory of weak regular splitting of matrices to the above considered algorithm, we obtain the weighted max - norrn bound for iterations. moreover, under the assumption that f ( x ) is concave, we establish monotone convergence of the considered algorithm
本文內容如下：首先，應用加性schwarz演算法求解非線性互補問題，其中a是m陣，應用弱分解理論，我們獲得了在加權范數意義下誤差的幾何收斂速度，在f （ x ）是凹函數的假設下我們還獲得了此演算法的單調收斂性，同時我們給出此演算法的一種修改演算法，無需前面的假設，該演算法具有單調收斂性。 -
The necessary and sufficient conditions of uniqueness, recurrent, ergodicity, exponential ergodicity, strong ergodicity, stochastically monotone, feller and symmetric properties - in - for the processes are presented. chapter 3 is devoted to studying an extended birth - death q - matrix with catastrophes and instantaneous state. we are able to give easy - checking existence criteria for such processes
第二章討論具有突變率的廣義生滅全穩定q -矩陣，圓滿地獲得了q -矩陣零流出、零流入以及q過程的唯一性、常返性、遍歷性、指數遍歷性、強遍歷性、隨機單調性、 feller性、配稱性等充分必要條件。
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