
On the condition number of the total least squares problem with linear equality constraint
This paper is devoted to the condition number of the total least squares...
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A contribution to condition numbers of the multidimensional total least squares problem with linear equality constraint
This paper is devoted to condition numbers of the multidimensional total...
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Structured condition numbers for the total least squares problem with linear equality constraint and their statistical estimation
In this paper, we derive the mixed and componentwise condition numbers f...
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Condition numbers for the truncated total least squares problem and their estimations
In this paper, we present explicit expressions for the mixed and compone...
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Impedance Control of a Transfemoral Prosthesis using Continuously Varying Ankle Impedances and Multiple Equilibria
Impedance controllers are popularly used in the field of lower limb pros...
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Wilkinson's bus: Weak condition numbers, with an application to singular polynomial eigenproblems
We propose a new approach to the theory of conditioning for numerical an...
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Minoration via Mixed Volumes and Cover's Problem for General Channels
We propose a method for establishing lower bounds on the supremum of pro...
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Condition numbers of the mixed least squarestotal least squares problem: revisited
A new closed formula for the first order perturbation estimate of the mixed least squarestotal least squares (MTLS) solution is presented. It is mathematically equivalent to the one by Zheng and Yang(Numer. Linear Algebra Appl. 2019; 26(4):e2239). With this formula, general and structured normwise, mixed and componentwise condition numbers of the MTLS problem are derived. Perturbation bounds based on the normwise condition number, and compact forms for the upper bounds of mixed and componentwise condition numbers are also given in order for economic storage and efficient computation. It is shown that the condition numbers and perturbation bound of the TLS problem are unified in the ones of the MTLS problem.
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