Huang, Baohua; Li, Wen Numerical subspace algorithms for solving the tensor equations involving Einstein product. (English) Zbl 07332763 Numer. Linear Algebra Appl. 28, No. 2, e2351, 32 p. (2021). Summary: In this article, we propose some subspace methods such as the conjugate residual, generalized conjugate residual, biconjugate gradient, conjugate gradient squared and biconjugate gradient stabilized methods based on the tensor forms for solving the tensor equation involving the Einstein product. These proposed algorithms keep the tensor structure. The convergence analysis shows that the proposed methods converge to the solution of the tensor equation for any initial value. Some numerical results confirm the feasibility and applicability of the proposed algorithms in practice. Cited in 6 Documents MSC: 65F10 Iterative numerical methods for linear systems 94A08 Image processing (compression, reconstruction, etc.) in information and communication theory Keywords:conjugate residual algorithm; Einstein product; generalized conjugate residual algorithm; image restoration; projection method; tensor equation PDFBibTeX XMLCite \textit{B. Huang} and \textit{W. Li}, Numer. Linear Algebra Appl. 28, No. 2, e2351, 32 p. (2021; Zbl 07332763) Full Text: DOI