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All Journal MATEMATIKA Jurnal Ilmu Dasar Jurnal Sains dan Seni ITS UNEJ e-Proceeding Limits: Journal of Mathematics and Its Applications Sains & Matematika
Dian Winda Setyawati
Jurusan Matematika FMIPA Institut Teknologi Sepuluh Nopember
Arts Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemistry Control & Systems Engineering Education Mathematics Physics

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Journal : MATEMATIKA

 1 
PRIME IDEAL ON SEMIRINGS D_nxn (Z^+) Setyawati, Dian Winda
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (69.991 KB)

Abstract

Let R be a semirings. A subset I of R is called an ideal of R if and then and I is called prime ideal if  for  then or  On semirings ,  a non zero ideal I is prime if and only if  , for p is prime or I = <2,3>. A paper will show form of prime ideal of semirings
MATRIKS JORDAN DAN APLIKASINYA PADA SISTEM LINIER WAKTU DISKRIT ., Soleha; Setyawati, Dian Winda
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (81.766 KB)

Abstract

Matrix is diagonalizable (similar with matrix diagonal) if and only if the sum of geometric multiplicities of its eigenvalues is n.If we search for an upper triangular form that is nearly diagonal as possible but is still attainable by similarity for every matrix, especially the sum of geometric multiplicities of its eigenvalues is less than n, the result is the Jordan canonical form, which is denoted by , and . In this paper, will be described how to get matrix S(in order to get matrix ) by using generalized eigenvector. In addition, it will also describe the Jordan canonical form and its properties, and some observation and application on discrete time linear system.
Co-Authors Komar Baihaqi Mochammad Reza Habibi Nur Qomariah Rimadhany, Ruzika Ruzika Rimadhany Soleha . Soleha Soleha Soleha Soleha Subiono -