An LDLT factorization based ADI algorithm for solving large-scale differential matrix equations

PAMM ◽  
2014 ◽  
Vol 14 (1) ◽  
pp. 827-828 ◽  
Author(s):  
Norman Lang ◽  
Hermann Mena ◽  
Jens Saak
Keyword(s):  
Large Scale ◽  
Matrix Equations ◽  
Differential Matrix

scholarly journals Solving large-scale nonlinear matrix equations by doubling

2013 ◽  
Vol 439 (4) ◽  
pp. 914-932 ◽  
Author(s):  
Peter Chang-Yi Weng ◽  
Eric King-Wah Chu ◽  
Yueh-Cheng Kuo ◽  
Wen-Wei Lin
Keyword(s):  
Large Scale ◽  
Matrix Equations ◽  
Nonlinear Matrix

Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations

2019 ◽  
Vol 62 (1-2) ◽  
pp. 157-177
Author(s):  
El. Mostafa Sadek ◽  
Abdeslem Hafid Bentbib ◽  
Lakhlifa Sadek ◽  
Hamad Talibi Alaoui
Keyword(s):  
Large Scale ◽  
Krylov Subspace ◽  
Krylov Subspace Methods ◽  
Matrix Equations ◽  
Subspace Methods ◽  
Sylvester Matrix ◽  
Sylvester Matrix Equations

Numerical Solution of Large Scale Sparse Matrix Equations in Python

PAMM ◽  
2014 ◽  
Vol 14 (1) ◽  
pp. 959-960
Author(s):  
Björn Baran ◽  
Martin Köhler ◽  
Nitin Prasad ◽  
Jens Saak
Keyword(s):  
Numerical Solution ◽  
Large Scale ◽  
Sparse Matrix ◽  
Matrix Equations

Calculation of the Natural Frequencies of Transverse Vibration of Complex Beams Using the Differential-Matrix Equations

2011 ◽  
Vol 243-249 ◽  
pp. 284-289
Author(s):  
Yu Zhang
Keyword(s):  
Iterative Method ◽  
Boundary Conditions ◽  
Cross Section ◽  
Transverse Vibration ◽  
Natural Frequencies ◽  
Composite Beams ◽  
Matrix Equations ◽  
Generalized Differential ◽  
Set Up ◽  
Differential Matrix

The generalized differential-matrix equations of transverse vibration of the beams were set up and they were solved by means of Cauchy sequence iterative method. Then according to the boundary conditions at two ends of the beams the natural frequencies of the transverse vibration of the different beams including the complex beams of non-uniform section and composite beams under different boundary conditions were figured out. The form of the differential-matrix is simple. The calculation of the sequence iterations can be accomplished by simple computer program. Using the method in this paper, the amount of work of calculation is reduced greatly and the results are accurate compared with the approximate method in which a beam of non-uniform section is replaced by many small segments of equal cross-section.

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