Judul: Modifikasi waktu berbunga variets tetua padi hibrida (Oryza Sativa L.) dan pengaruhnya terhadap viabilitas benih
Abstrak: Unsynchronous flowering of parental lnes due to the effect of genetic X environment interaction is a mayor constrain to high yield in hybrid rice seed production. In order to improve the flowering synchronization, a research was conducted to study the effect of foliar fertilization on flowering date, seed yield and seed viability of some parental lines of hybrid rice. The research was conducted at Muara Research Station, Bogor in December 2003 - May 2004 and at the Seed Science and Technology Laboratory, IPB in June - December 2004.
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Judul: Pengaruh perlakuan invigorasi terhadap viabilitas benih dan hasil padi (Oryza sativa L.)
Abstrak: Seed quality with high viability and vigor is an important factor to get high yield of rice. A research was conducted from April to August 2011 aimed to study the effects of invigoration treatments on seed viability and yield of rice (Oryza sativa L.). The research consisted of laboratory experiment conducted in the laboratory of seed Science and Technology, IPB and field experiment conducted at Muara Research Station Bogor. A split - split plot design with three replications and three treatment factors i.e. variety, seed viability level, and invigoration treatment, was applied to the experiments. The variety treatment included an irrigated lowland varieties (Ciherang, Maro) and upland rice (Limboto). Seed with different viability levels were provided by applying rapid aging treatments of etanol vapour for 0 and 75 minutes. The invigoration treatments included 50, 100, 150 ppm of GA3 and 100, 150, 200 ppm of KH2PO4. The results indicated the invigoration treatment of KH2PO4 150 ppm could improve seed viability and vigor of rice seed significantly shown on varieties Ciherang and Maro, respectively. The invigoration treatments were also increased rice yield mainly due to the increase of the grain number per panicle.
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Judul: Invers Drazin dari Matriks Toeplitz Singular
Abstrak: Matriks Toeplitz adalah matriks yang setiap unsur pada diagonal utama bernilai sama dan setiap unsur pada subdiagonal yang bersesuaian dengan diagonal utama juga bernilai sama. Matriks singular adalah matriks yang tidak bisa ditentukan inversnya. Akan tetapi, dapat diupayakan untuk ditentukan inversnya menggunakan invers matriks yang diperumum. Invers Drazin merupakan salah satu jenis invers matriks yang diperumum. Pada karya ilmiah ini ditentukan invers Drazin dari matriks Toeplitz singular dengan menggunakan metode Leverrier Faddeev. Kemudian, ditentukan invers Drazin dari matriks Toeplitz singular yang direpresentasikan sebagai penjumlahan segitiga bawah dan segitiga atas matriks Toeplitz berdasar pada teorema Gohberg dan Semencul., Toeplitz matrix is a matrix in with element on the main diagonal has the same value and on the subdiagonal corresponding to the main diagonal also has the same value. Singular matrix is a matrix that has no inverse. However, it can be attempted to determine the inverse using a generalized inverse matrix. Inverse Drazin is a type of generalized matrix inverse. This paper discussed the inverse Drazin for a singular Toeplitz matrix using the Leverrier Faddeev method. Then, the Drazin inverse of the singular Toeplitz matrix which is represented as a sum of products of lower and upper triangular Toeplitz matrix based on Gohberg and Semencul theorem.
Keyword: inverse Drazine, singular Toeplitz matrix