Let m, m＇, n be positive integers such that m ≠ m＇. Let A be an ruth order n-dimensional tensor, and let B be an m＇th order n-dimensional tensor. ）, ∈ C is called a B-eigenvalue of A if Ax^m-1 = λBx^m＇-1 and B...Let m, m＇, n be positive integers such that m ≠ m＇. Let A be an ruth order n-dimensional tensor, and let B be an m＇th order n-dimensional tensor. ）, ∈ C is called a B-eigenvalue of A if Ax^m-1 = λBx^m＇-1 and Bx^m＇ = 1 for some x ∈ Cn／{0}. In this paper, we propose a linear homotopy method for solving this eigenproblem. We prove that the method finds all isolated B- eigenpairs. Moreover, it is easy to implement. Numerical results are provided to show the efficiency of the proposed method.展开更多
文摘Let m, m＇, n be positive integers such that m ≠ m＇. Let A be an ruth order n-dimensional tensor, and let B be an m＇th order n-dimensional tensor. ）, ∈ C is called a B-eigenvalue of A if Ax^m-1 = λBx^m＇-1 and Bx^m＇ = 1 for some x ∈ Cn／{0}. In this paper, we propose a linear homotopy method for solving this eigenproblem. We prove that the method finds all isolated B- eigenpairs. Moreover, it is easy to implement. Numerical results are provided to show the efficiency of the proposed method.
