The Polak-Ribière-Polyak conjugate gradient algorithm is a useful tool of unconstrained numerical optimization. Efficient implementations of the algorithm usually perform line searches satisfying the strong Wolfe conditions. It is well known that these conditions do not guarantee that the successive computed directions are descent directions. This paper proposes a relaxation of the strong Wolfe...

In this paper, we propose a modified Polak–Ribière–Polyak (PRP) conjugate gradient method. An attractive property of the proposed method is that the direction generated by the method is always a descent direction for the objective function. This property is independent of the line search used. Moreover, if exact line search is used, the method reduces to the ordinary PRP method. Under appropria...

1Department of Gynecology and Obstetrics, Faculty of Medicine, Masaryk University, Brno, Czech Republic, 2Department of Histology and Embryology, Faculty of Medicine, Masaryk University, Brno, Czech Republic, 3Department of Histology and Embryology, Faculty of Medicine, Comenius University, Bratislava, Slovakia, and 4University Centrum of Reproductive Medicine of the 1st Department of Gynecolog...

The BFGS method is one of the most famous quasi-Newton algorithms for unconstrained optimization. In 1984, Powell presented an example of a function of two variables that shows that the Polak–Ribière–Polyak (PRP) conjugate gradient method and the BFGS quasi-Newton method may cycle around eight nonstationary points if each line search picks a local minimum that provides a reduction in the object...

Gangguan jiwa merupakan salah satu dari masalah kesehatan terbesar yang terjadi selain penyakit degeneratif, kanker dan kecelakaan. Salah faktor utama penatalaksanaan terapi gangguan adalah kepatuhan kontrol dalam pengobatan. Penelitian ini bertujuan untuk mengetahui faktor-faktor berhubungan dengan berobat orang di UPTD Puskesmas Polak Pisang. lakukan wilayah kerja Pisang terletak Desa Simpang...

Kesalahan siswa dalam menyelesaikan permasalahan matematika khususnya pada soal cerita dipengaruhi oleh berbagai faktor. Salah satu aspek yang perlu dipertimbangkan adalah perbedaan gender. Penelitian ini bertujuan untuk mendeskripsikan jenis-jenis kesalahan topik pecahan ditinjau berdasarkan menggunakan pendekatan kualitatif dengan jenis studi kasus. melibatkan 2 laki-laki dan perempuan kelas ...

Diamondoids are cage-like saturated hydrocarbons consisting of fused cyclohexane rings. The Diamondoids family of compounds is one of the best candidates for molecular building blocks (MBBs) in nanotechnology to construct organic nanostructures compared to other MBBs known so far. The challenge is to find a route for self-assembly of these cage hydrocarbons and their applications in the bottom-...

This paper frames the main components required to setup Product Co-Creation Centers (PC 3) within (rural or urban) BoP environments as a method to (1) identify creative and entrepreneur individuals; (2) aid the process of generating new ideas; (3) support the co-creation of products and services as well as their related business models for BoP needs, and (4) carry out market and social impact a...