Determination of the Thermal-Conductivity Tensor by Tikhonov Regularization in Spherical Coordinates

Deterministic solution of algebraic equations in sentiment analysis

“…But it was also not possible to obtain an answer only with the least-squares condition in the devices of discrete position equations due to the bad conditions of the operator, so in Tikhonov's method, while minimizing the residuals vector, by minimizing a feature of unknowns, the infinity of the answer is prevented. Tikhonov has many applications in various research fields belong to computer science, simulations and engineering such as load identification [51], radiation problem [60], Thermal-Conductivity problem [8], Hemivariational Inequality problems [68], Time-fractional diffusion equation [74] and Singular value decomposition [12].…”

“…According to the expression (8), it is clear that the rate of velocity that u T i b and σ i tends to zero to each other plays an important role in the behavior of the bad condition. Intuitively, we expect that when the coefficients |u T i b| tend to be zero at a much slower rate of σ i Tikhonov's regularization and other methods that filter out small singular values cannot provide a well-ordered systematic answer.…”