2014 講義  (msv2014-02-meeting) (msv2014-March4-meeting)
            (msv2014-March11-meeting)                          

 

哥廷根學派   高斯天下
  SVD 歷史 ( Anton )  
講義

台灣海大 (陳正宗)程宏達教授引介

德國哥廷根大學 (R. Schaback)

CMA 2007 Schaback合照在中山
EABE 2009 Schaback合照在高雄港觀光船
  Schaback JACM 2008文章
 

Schaback來信

Fredholm

Fredholm alternative Laplace Fredholm2014(new)
Fredholm2014 Fredholm吃遍天下
Mathematical point of view for degenerate scale in vector space  
充要 MFS是否充分必要    MFS failure 充要邊界積分方程 (Sufficient and necessary BIE) 內外通吃
充要MFS內外兼備 充要間接BIEM內外兼備
充要邊界積分方程  
三寶 胡海昌三寶 馮康三寶
正宗三寶
1.對偶邊界法

2.零場積分法

3.分離核

Bipolar Bipolar 9 conditions with indirect BEM coordinate
Direct and indirect BEM applied in Bipolar problem Eccentric
自癒方案 Comp-Structure-Fellipa

ijnme1996-Mantic

IJNME-Vodicka2006

eabe2006-Vodicka

CRASP-Verchery-1990 Self-Regularize

A Direct Flexibility Method

The construction of free–free flexibility matrices for
multilevel structural analysis

自救方案的由來
(雅瀞版)(簡頡版)
IJSS1998-Lutz

擋水牆數據

桿子(文生)

梁(Y.C.Tu)

含軸力與側力桿(Y.C.K)

自救方案&剛體解危
間接法虛擬頻率自救方案

自救方案整理

桁架測試例

梁力

含軸力與測力桿

SVD App SVD SIAM SVD updating(1)(2)
病態處理 真剛體模態測試 處理病態矩陣之方法
處理病態矩陣之三部曲 秩降求解三部曲
加 c有那麼重要嗎? Power1(EABE) Power2(NMPDE)
Inverse Inverse of 2*2 Block Matrices Some applications of the pseudoinverse of a matrix
Singular value decomposition and the Moore–Penrose inverse of bordered matrices GENERALIZED INVERSE OF A MATRIX AND ITS APPLICATIONS
Update the Inverse of a matrix Fichera’s method 有無限多解與無解
Generalized Inverse and Applications Wiley

數學與結構力學

Generalized Inverses: Theory and Applications
Bibliography for the 2nd Edition
Framework for biorthogonal Fourier series

加邊

C的功能

borderedMatrix BorderedMatrix-LAA
On Bordering of Regular Matrices GENERALIZED INVERSES OF BORDERED MATRICES
borderingMatrix STABLE SOLVERS AND BLOCK ELIMINATION FOR BORDERED SYSTEMS
A RANK-REVEALING METHOD WITH UPDATING, DOWNDATING, AND APPLICATIONS A RANK-REVEALING METHOD WITH UPDATING, DOWNDATING, AND APPLICATIONS. PART II
GENERALIZED DEFLATED BLOCK-ELIMINATION Singular Value Decomposition and the Moore–Penrose Inverse of Bordered Matrices
加邊矩陣Fichera早就有 加邊矩陣-Cook

加邊矩陣-Kim

 

基本解

Revisit of Kelvin solution  

                            1. 找來媒婆或引狼入室

                            2. 直接法與間接法在解空間的不等價

                            3. 分工