Shifted Power Method for Computing Tensor Eigenpairs

• Published in: SIAM journal on matrix analysis and applications Vol. 32; no. 4; pp. 1095 - 1124
• Main Authors: Kolda, Tamara G., Mayo, Jackson R.
• Format: Journal Article
• Language: English
• Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.10.2011
• Subjects: Algebra; Exact sciences and technology; Global analysis, analysis on manifolds; Linear and multilinear algebra, matrix theory; Mathematics; Nonlinear algebraic and transcendental equations; Numerical analysis; Numerical analysis. Scientific computation; Numerical linear algebra; Sciences and techniques of general use; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Symmetric tensor; Eigenvalue; Iteration; 15A18; Fix point; Imaging; Shift; Eigenvector; Magnetic resonance; rank-1 approximation; tensor eigenvalues; Rank; 15A69; eigenpairs; l; symmetric higher-order power method (S-HOPM); E-eigenpairs; Z-eigenpairs; Numerical analysis; Symmetric matrix; Linear algebra; Optimal approximation; shifted symmetric higher-order power method (SS-HOPM); Computing method; Fixed point