Semidefinite Relaxation Methods for Tensor Absolute Value Equations | PERPUSTAKAAN UNIVERSITAS KATOLIK PARAHYANGAN

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Semidefinite Relaxation Methods for Tensor Absolute Value Equations

Zhou, Anwa - Nama Orang; Liu, Kun - Nama Orang; Fan, Jinyan - Nama Orang;

In this paper, we consider the tensor absolute value equations (TAVEs). When one tensor is row diagonal with odd order, we show that the TAVEs can be reduced to an algebraic equation; when it is row diagonal and nonsingular with even order, we prove that the TAVEs is equivalent to a polynomial complementary problem. When no tensor is row diagonal, we formulate the TAVEs equivalently as polynomial optimization problems in two different ways. Each of them can be solved by Lasserre’s hierarchy of semidefinite relaxations. The finite convergence properties are also discussed. Numerical experiments show the efficiency of the proposed methods.

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Informasi Detail

Judul Seri: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS; Vol. 44, No. 4, October 2023-December 2023
No. Panggil: -
Penerbit: : .,
Deskripsi Fisik: p. 1667-1692
Bahasa: English
ISBN/ISSN: -
Klasifikasi: NONE
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: -
Subjek: POLYNOMIAL OPTIMIZATION
FINITE CONVERGENCE
SEMIDEFINITE RELAXATION
TENSOR ABSOLUTE VALUE EQUATIONS
Info Detail Spesifik: https://doi.org/10.1137/22M1539137
Pernyataan Tanggungjawab: Anwa Zhou, Kun Liu, Jinyan Fan

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