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Total shell matrix volume Thundiy, Squares A-D

Squares from D(–4) and D(20) Triples

Squares from D(–4) and D(20) Triples

... D -triple (see [3]) so that many of their properties follow from the properties of the general (pencils of) Euler triples (see [4,5] ). It is therefore interesting to look for those properties in which at least ...

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Convex Total Least Squares

Convex Total Least Squares

... sured explanatory variables (Golub & Van Loan, 1980). It has become an indispensable tool in a variety of disci- plines including chemometrics, system identification, as- tronomy, computer vision, and econometrics ...

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Magic squares with a given total. Challenging Magic Squares for Magicians

Magic squares with a given total. Challenging Magic Squares for Magicians

... magic squares for your ...scribed total by setting x = (A + B C D)/ 2, but that tends not to be worth the effort, even when x is an integer, since it adds to the mental effort and often generates ...

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3.1 Least squares in matrix form

3.1 Least squares in matrix form

... ‘education’. This is clear from Panel 2 in Exhibit 3.5, which shows that x 2 and x 3 have a correlation of around 69 per cent. We refer also to Exhibit 3.1 (d), which shows a strong positive relation between x 2 ...

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Implicitly-weighted total least squares

Implicitly-weighted total least squares

... 5.2. No prior information on σ A 2 or σ B 2 If we do not have any prior information about error variances σ A 2 or σ B 2 , we cannot use (5.2) or (5.3). Instead, we use the convergence property (4.9) to evaluate a given ...

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On the computation of the structured total least squares estimator

On the computation of the structured total least squares estimator

... is O ( n 2 ) in n per iteration. The last experiment in this subsection deals with a multivariate STLS problem and compares the proposed algorithms with the algorithm of [12] (labelled STLNB). The simulation setup is as ...

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Least Squares Symmetrizable Solutions for a Class of Matrix Equations

Least Squares Symmetrizable Solutions for a Class of Matrix Equations

... least squares symmetrizable solutions of matrix equations (AX = B, XC = D) and its optimal approximation ...the matrix row stacking, Kronecker product and special relations between two linear ...

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The element wise weighted total least squares problem

The element wise weighted total least squares problem

... The total least-squares method yields an inconsistent estimate of the parameter in this ...Modified total least-squares problem, called element-wise weighted total least-squares, ...

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Adaptive matching pursuit with constrained total least squares

Adaptive matching pursuit with constrained total least squares

... The scattering intensities are a 1 = a 2 = 10, a 3 = 1, and the ranges and the velocities are set such that the p, q parameters are p 1 = 10.1/M, p 2 = 10.7/M, p 3 = 20/M, q 1 = 19.4/M, q 2 = 10.2/M and q 3 = 15.2/M. ...

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The widely linear quaternion recursive total least squares

The widely linear quaternion recursive total least squares

... Quaternion-valued signal processing is a very convenient al- ternative to 3-D and 4-D multichannel statistical signal pro- cessing [1], as conventional techniques employed typically do not fully accommodate ...

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Large-scale Tikhonov regularization of total least squares

Large-scale Tikhonov regularization of total least squares

... Regularized total least squares based on quadratic eigenvalue problem solvers, BIT 44 (2004) ...the total least squares problem, SIAM ...

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Tikhonov regularization for weighted total least squares problems

Tikhonov regularization for weighted total least squares problems

... diagonal matrix whose elements are 1 /σ for the first 16 elements and the last 16 elements are 3 σ which are not larger than ...The matrix S is the identity matrix and the matrix D is ...

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On the equivalence between Total Least Squares and Maximum Likelihood PCA

On the equivalence between Total Least Squares and Maximum Likelihood PCA

... data matrix D 0 was calcu- lated by multiplying the 10 × 3 matrix of concentrations by the 3 × 11 matrix of pure component ...noise matrix D of correlated measurement errors to ...

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Recursive Generalized Total Least Squares with Noise Covariance Estimation

Recursive Generalized Total Least Squares with Noise Covariance Estimation

... generalized total least squares (GTLS), yield the maximum likelihood estimates for EIV problems with a closed-form solution if the problem can be formulated ...

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Vehicle Mass Estimation Using a Total Least-Squares Approach

Vehicle Mass Estimation Using a Total Least-Squares Approach

... g = E < max(E)d AND E > min(E)d (19) determines samples that are within an allowed error range, where {d ∈ R |0 < d < 1} is a constant. Only samples remain in the buffer where g = ...

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High performance numerical algorithms and software for structured total least squares

High performance numerical algorithms and software for structured total least squares

... The problems listed below are special cases of the block-Toeplitz/Hankel STLS problem, for particular choices of the structure specification K, D . If not given, K and the third element of D l are by default ...

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Application of structured total least squares for system identification and model reduction

Application of structured total least squares for system identification and model reduction

... D. Known Initial Conditions In the GTLS problem, no prior knowledge about initial con- ditions is assumed. Thus, the best fitting trajectory is searched in the whole behavior of the approximating system. If the ...

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Total Least Squares Methods

Total Least Squares Methods

... namely into scalar minimization problems, where each function evaluation requires the solution of a quadrat- ically constrained linear least squares problem. 26 The constrained formulation (10) has been solved via ...

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Robust local vegetation records from dense archaeological shell matrixes: a palynological analysis of the Thundiy shell deposit, Bentinck Island, Gulf of Carpentaria, Australia

Robust local vegetation records from dense archaeological shell matrixes: a palynological analysis of the Thundiy shell deposit, Bentinck Island, Gulf of Carpentaria, Australia

... the Thundiy shell midden deposit, Bentinck Island, Gulf of Carpentaria, northern Australia, to provide a vegetation and fire record for this site, which sheds light on human occupation of the southern ...

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Teaching Least Squares in Matrix Notation

Teaching Least Squares in Matrix Notation

... least squares method, a fundamental piece of knowledge for students of all scientific tracks, is often introduced considering the simple linear regression with only two parameters to be ...least squares ...

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