arXiv Open Access 2009

Completeness of the WDS method in Checking Positivity of Integral Forms

Xiaorong Hou Junwei Shao

Lihat Sumber

Abstrak

Examples show that integral forms can be efficiently proved positive semidefinite by the WDS method, but it was unknown that how many steps of substitutions are needed, or furthermore, which integral forms is this method applicable for. In this paper, we give upper bounds of step numbers of WDS required in proving that an integral form is positive definite, positive semidefinite, or not positive semidefinite, thus deducing that the WDS method is complete.

Topik & Kata Kunci

cs.SC

Penulis (2)

Xiaorong Hou

Junwei Shao

Format Sitasi

APA MLA BibTeX

Hou, X., Shao, J. (2009). Completeness of the WDS method in Checking Positivity of Integral Forms. https://arxiv.org/abs/0912.1649

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓