
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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Condition numbers of the mixed least squarestotal least squares problem: revisited
A new closed formula for the first order perturbation estimate of the mi...
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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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Forbidden formations in 01 matrices
Keszegh (2009) proved that the extremal function ex(n, P) of any forbidd...
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Multidimensional Padé approximation of binomial functions: Equalities
Let ω_0,…,ω_M be complex numbers. If H_0,…,H_M are polynomials of degree...
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A multidimensional analog to the BurrowsWheeler transform
We show how to perform multidimensional pattern matching over an ndimen...
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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 least squares problem with linear equality constraint (TLSE). Based on the perturbation theory of invariant subspace, the TLSE problem is proved to be equivalent to a multidimensional unconstrained weighed total least squares problem in the limit sense. With a limit technique, Kroneckerproductbased formulae for normwise, mixed and componentwise condition numbers of the minimum Frobenius norm TLSE solution are given. Compact upper bounds of these condition numbers are provided to reduce the storage and computation cost. All expressions and upper bounds of these condition numbers unify the ones for the singledimensional TLSE problem and multidimensional total least squares problem. Some numerical experiments are performed to illustrate our results.
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