Rump, Siegfried M. Kleine Fehlerschranken bei Matrixproblemen. (German) Zbl 0437.65036 Fakultät für Mathematik der Universität Karlsruhe. VI, 131 S., Anh. (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 31 Documents MSC: 65F30 Other matrix algorithms (MSC2010) 65G30 Interval and finite arithmetic 65F05 Direct numerical methods for linear systems and matrix inversion 65F10 Iterative numerical methods for linear systems 65F15 Numerical computation of eigenvalues and eigenvectors of matrices 65F35 Numerical computation of matrix norms, conditioning, scaling 65H10 Numerical computation of solutions to systems of equations 65H05 Numerical computation of solutions to single equations 65-04 Software, source code, etc. for problems pertaining to numerical analysis 65K05 Numerical mathematical programming methods 90C25 Convex programming Keywords:linear systems; eigenproblems; algorithms; bounds for the solution; floating-point; rounded arithmetic; error estimates; Gauss-, Jacobi- and Crout-Doolittle-algorithms; interval arithmetic; Hilbert matrix; roots of a polynomial; convex programming problems; large sparse linear and non- linear systems; floating-point algorithms; Fortran-programs PDFBibTeX XML