Early heart disease control can be achieved by high disease prediction and diagnosis efficiency. This paper focuses on the use of model based clustering techniques to predict and diagnose heart disease via Poisson mixture regression models. Analysis and application of Poisson mixture regression models is here addressed under two different classes: standard and concomitant variable mixture regre...

Various normwise relative condition numbers that measure the sensitivity of Bott– Duffin inverse and the solution of constrained linear systems are characterized. The sensitivity of condition number itself is then investigated. Finally, upper bounds are derived for the sensitivity of componentwise condition numbers. 2002 Elsevier Science Inc. All rights reserved.

In stationary iterative methods for solving linear systems Ax = b, the iteration x = Hx + c, where H and c are the iteration matrix derived from A and the vector derived from A and b, respectively, is executed for an initial vector x. We present a theorem which yields componentwise error estimates for x, and clarify the relation between our result and a previous result.

Backward errors and condition numbers are defined and evaluated for eigenvalues and eigenvectors of generalized eigenvalue problems. Both normwise and componentwise measures are used. Unstructured problems are considered first, and then the basic definitions are extended so that linear structure in the coefficient matrices (for example, Hermitian, Toeplitz, Hamiltonian, or band structure) is pr...

Existing deenitions of backward error and condition number for linear systems do not cater for structure in the coeecient matrix, except possibly for sparsity. We extend the deenitions so that when the coeecient matrix has structure the perturbed matrix has this structure too. We show that when the structure comprises linear dependence on a set of parameters the structured componentwise backwar...

Given a linear system Ax = b and some vector x̃, the backward error characterizes the smallest relative perturbation of the input data such that x̃ is a solution of the perturbed system. If the input matrix has some structure such as being symmetric or Toeplitz, perturbations of the input matrix may be restricted to perturbations within the same class of structured matrices. For normwise perturba...

In this text we develop the formalism of products and powers of linear codes under componentwise multiplication. As an expanded version of the author’s talk at AGCT-14, focus is put mostly on basic properties and descriptive statements that could otherwise probably not fit in a regular research paper. On the other hand, more advanced results and applications are only quickly mentioned with refe...

For two normed algebras $A$ and $B$ with the character space   $bigtriangleup(B)neq emptyset$  and a left $B-$module $X,$  a certain class of bounded linear maps from $A$ into $X$ is introduced. We set $CMH_B(A, X)$  as the set of all non-zero $B-$character module homomorphisms from $A$ into $X$. In the case where $bigtriangleup(B)=lbrace varphirbrace$ then $CMH_B(A, X)bigcup lbrace 0rbrace$ is...