Genelleştirilmiş Sylvester Transpoz Matris Denkleminin Simetrik – Ters Simetrik Ayrışım Metodu ile Çözümü

Year 2020, Volume: 7 Issue: 1, 319 - 328, 28.06.2020

Murat Sarduvan , Esra Kaplan

https://doi.org/10.35193/bseufbd.670846

Abstract

Bu çalışmada Ax=b lineer denklem sisteminin çözümü için Simetrik-Ters Simetrik Ayrışım (SSS) metodu tanıtıldı. Daha sonra

AXB+CXD+EX^T F=M

genelleştirilmiş Sylvester Transpoze matris denkleminin çözümü bu metot kullanılarak ortaya konuldu. Son olarak SSS metodunun performansını resmeden sayısal bir örnek verildi.

Keywords

SSS metodu, Genelleştirilmiş Sylvester transpoz matris denklemi, Kronecker çarpım, Matris normu, Spektral yarıçap

On Solution of Generalized Sylvester Transpose Matrix Equation Using Symmetric – Skew Symmetric Splitting Method

Abstract

In this study, Symmetric-Skew Symmetric Splitting (SSS) method is introduced to solve the system of linear equations Ax=b. Then, the solution of

AXB+CXD+EX^T F=M
generalized Sylvester transpose matrix equation is established by using this method. Lastly, an example is given to illustrate the performance of the SSS method.

Keywords

SSS method, Generalized Sylvester transpose matrix equation, Kronecker product, Matrix norm, Spectral radius

References

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