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

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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