AbstractGeneralizations of Worpitzky's convergence theorem for ordinary continued fractions are proved for vector valued continued fractions defined by the Samelson inverse for vectors. Our convergence proof is constructive and thus yields more refined truncation-error estimates. This work shows that some of our results are exact generalizations or improvements of the scalar ones
In this paper we recall some results and some criteria on the convergence of matrix continued fracti...
AbstractA matrix continued fraction is defined and used for the approximation of a function F known ...
AbstractSufficient conditions are given to ensure that limn→∞B2zn+1=eγz for all zϵC, where the Bn(z)...
AbstractThe first purpose of this work is to prove a convergence theorem for vector valued continued...
AbstractIt is known that under the hypotheses in Worpitzky's Theorem on continued fractions, the app...
AbstractWe discuss the properties of matrix-valued continued fractions based on Samelson inverse. We...
There are infinite processes (matrix products, continued fractions, (r, s)-matrix continued fraction...
AbstractBy exploiting an isomorphism between vectors and certain matrices, the theory of vector-valu...
AbstractIn the study of simultaneous rational approximation of functions using rational functions wi...
AbstractGeneralizations of Śleszyński–Pringheim's convergence criteria for ordinary continued fracti...
AbstractIn this note we compare two recent methods of convergence acceleration for ordinary continue...
AbstractNecessary and sufficient conditions for the convergence of vector S-fractions are obtained, ...
AbstractIn this note we relate two methods of convergence acceleration for ordinary continued fracti...
Several results for continued fractions are first derived and are then shown to be applicable to num...
AbstractWe introduce a new concept of correspondence for continued fractions, based on modified appr...
In this paper we recall some results and some criteria on the convergence of matrix continued fracti...
AbstractA matrix continued fraction is defined and used for the approximation of a function F known ...
AbstractSufficient conditions are given to ensure that limn→∞B2zn+1=eγz for all zϵC, where the Bn(z)...
AbstractThe first purpose of this work is to prove a convergence theorem for vector valued continued...
AbstractIt is known that under the hypotheses in Worpitzky's Theorem on continued fractions, the app...
AbstractWe discuss the properties of matrix-valued continued fractions based on Samelson inverse. We...
There are infinite processes (matrix products, continued fractions, (r, s)-matrix continued fraction...
AbstractBy exploiting an isomorphism between vectors and certain matrices, the theory of vector-valu...
AbstractIn the study of simultaneous rational approximation of functions using rational functions wi...
AbstractGeneralizations of Śleszyński–Pringheim's convergence criteria for ordinary continued fracti...
AbstractIn this note we compare two recent methods of convergence acceleration for ordinary continue...
AbstractNecessary and sufficient conditions for the convergence of vector S-fractions are obtained, ...
AbstractIn this note we relate two methods of convergence acceleration for ordinary continued fracti...
Several results for continued fractions are first derived and are then shown to be applicable to num...
AbstractWe introduce a new concept of correspondence for continued fractions, based on modified appr...
In this paper we recall some results and some criteria on the convergence of matrix continued fracti...
AbstractA matrix continued fraction is defined and used for the approximation of a function F known ...
AbstractSufficient conditions are given to ensure that limn→∞B2zn+1=eγz for all zϵC, where the Bn(z)...
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