AbstractThe stability of algorithms in numerical linear algebra is discussed. The concept of stability is extended to notions of weak stability and strong stability. Justifications are given for these extensions, and the implications of error analyses in terms of these definitions are discussed. The concept of weak stability helps to clarify some of the controversy which has arisen concerning the stability of algorithms for Toeplitz systems
Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines w...
The concept of D-stability is significant for matrices of any order, especially when they appear in ...
The concept of D-stability is significant for matrices of any order, especially when they appear in ...
Abstract. We survey the numerical stability of some fast algorithms for solving systems of linear eq...
The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All ...
The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All ...
AbstractWithout theoretical evidence to support the use of an algorithm, one cannot be certain that ...
We survey the numerical stability of some fast algorithms for solving systems of linear equations an...
The effects of rounding errors on algorithms in numerical linear algebra have been much-studied for ...
Without theoretical evidence to support the use of an algorithm, one can not be certain that if it s...
In this book, the author compares the meaning of stability in different subfields of numerical mathe...
In this paper we shall concentrate on some of the computational issues which arise in studying the r...
AbstractIn this paper, we consider the stability of the algorithms emerging from Toeplitz matrix inv...
In this dissertation, we analyze the mathematical structure and numerical algorithms associated with...
In this dissertation, we analyze the mathematical structure and numerical algorithms associated with...
Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines w...
The concept of D-stability is significant for matrices of any order, especially when they appear in ...
The concept of D-stability is significant for matrices of any order, especially when they appear in ...
Abstract. We survey the numerical stability of some fast algorithms for solving systems of linear eq...
The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All ...
The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All ...
AbstractWithout theoretical evidence to support the use of an algorithm, one cannot be certain that ...
We survey the numerical stability of some fast algorithms for solving systems of linear equations an...
The effects of rounding errors on algorithms in numerical linear algebra have been much-studied for ...
Without theoretical evidence to support the use of an algorithm, one can not be certain that if it s...
In this book, the author compares the meaning of stability in different subfields of numerical mathe...
In this paper we shall concentrate on some of the computational issues which arise in studying the r...
AbstractIn this paper, we consider the stability of the algorithms emerging from Toeplitz matrix inv...
In this dissertation, we analyze the mathematical structure and numerical algorithms associated with...
In this dissertation, we analyze the mathematical structure and numerical algorithms associated with...
Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines w...
The concept of D-stability is significant for matrices of any order, especially when they appear in ...
The concept of D-stability is significant for matrices of any order, especially when they appear in ...
DOI
Add to ORKG