An inverse problem for singular values and the Jacobian of the elementary symmetric functions

The inverse Horn problem

“…Since α 1 > • • • > α n , J(α) is nonsingular. In [16], the inverse of J(α) is found and related to the Vandermonde matrix with parameters α.…”

Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values

“…The ISVP arises in a variety of applications such as the inverse problem in some quadratic group, the optimal sequence design for direct spread spectrum code division multiple access, the constructions of Toeplitz-related matrices from prescribed singular values, the passive forcing in nonlinear circuit simulation, and so on. For theories, algorithms and other applications for the ISVP (1.3), one may refer to and others [2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Two‐step Ulm–Chebyshev‐like method for inverse singular value problems

“…Inverse singular value problems arise in various of scientific computing and engineering applications, such as the constructions of Toeplitz-related matrices from prescribed singular values, [1][2][3] the inverse problem in some quadratic group, 4 the passivity enforcement in nonlinear circuit simulation, 5 the optimal sequence design for direct-spread code division multiple access, 6 and others. [7][8][9][10][11][12][13] Our goal in this article is to investigate two-step Ulm-Chebyshev-like method for solving inverse singular value problems (ISVPs).…”