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

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2014
Yayıncı: BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ

Bu çalışmada Ax=b lineer denklem sisteminin çözümü için Simetrik-Ters Simetrik Ayrışım (SSS) metodu tanıtıldı. Daha sonra AXB+CXD+EXT F=Mgenelleştirilmiş Sylvester Transpoze matris denkleminin çözümü bu metot kullanılarak ortaya konuldu. Son olarak SSS metodunun performansını resmeden sayısal bir örnek verildi.

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

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

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