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## Garloff, Jürgen

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 Author ID: garloff.jurgen Published as: Garloff, J.; Garloff, Juergen; Garloff, Jürgen
 Documents Indexed: 74 Publications since 1978, including 8 Books
all top 5

#### Co-Authors

 28 single-authored 12 Adm, Mohammad 5 Smith, Andrew P. 5 Titi, Jihad 4 Białas, Stanisław 4 Smith, Andrew Paul 2 Almuhtaseb, Khawla 2 Alseidi, Rola 2 Ghani, Ayed Abedel 2 Hamadneh, Tareq 2 Hungerbühler, Ralf 2 Jansson, Christian 2 Margaliot, Michael 2 Schwierz, Klaus-Peter 2 Wagner, David Gustav 1 Al-Saafin, Doaa 1 Bose, Nirmal K. 1 Fallat, Shaun M. 1 Graf, Birgit 1 Granvilliers, Laurent 1 Hattenbach, Volker 1 Idriss, Ismail I. 1 Krawczyk, Robert J. 1 Popova, Evgeniya D. 1 Solak, Wieslaw W. 1 Srinivasan, B. R. 1 Szydełko, Zbigniew 1 Tyaglov, Mikhail 1 Zettler, M.
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#### Serials

 9 Linear Algebra and its Applications 6 Reliable Computing 5 Journal of Computational and Applied Mathematics 4 Journal of Mathematical Analysis and Applications 3 IEEE Transactions on Automatic Control 2 Journal of the Franklin Institute 2 Linear and Multilinear Algebra 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Applied Mathematics and Computation 2 Computing 2 SIAM Journal on Matrix Analysis and Applications 2 ELA. The Electronic Journal of Linear Algebra 1 International Journal of Control 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Wissenschaftliche Zeitschrift 1 SIAM Journal on Algebraic and Discrete Methods 1 Multidimensional Systems and Signal Processing 1 Zeszyty Naukowe Akademii Górniczo-Hutniczej Im. Stanisława Staszica. Opuscula Mathematica 1 Interval Computations 1 Operators and Matrices 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Special Matrices
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#### Fields

 43 Numerical analysis (65-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 9 Real functions (26-XX) 9 Approximations and expansions (41-XX) 8 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 4 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

53 Publications have been cited 288 times in 195 Documents Cited by Year
Hadamard products of stable polynomials are stable. Zbl 0860.15018
Garloff, Jürgen; Wagner, David G.
1996
Bounds for the eigenvalues of the solution of the discrete Riccati and Lyapunov equations and the continuous Lyapunov equation. Zbl 0591.15010
Garloff, Jürgen
1986
Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion. Zbl 0906.93046
Zettler, M.; Garloff, J.
1998
The Bernstein algorithm. Zbl 0829.65017
Garloff, Jürgen
1993
Convex combinations of stable polynomials. Zbl 0562.30009
Białas, S.; Garloff, J.
1985
Stability of polynomials under coefficient perturbation. Zbl 0555.65010
Białas, S.; Garloff, J.
1985
Investigation of a subdivision based algorithm for solving systems of polynomial equations. Zbl 1042.65526
Garloff, Jürgen; Smith, Andrew P.
2001
Lower bound functions for polynomials. Zbl 1032.65055
Garloff, Jürgen; Jansson, Christian; Smith, Andrew P.
2003
Criteria for sign regularity of sets of matrices. Zbl 0534.15017
Garloff, Jürgen
1982
Interval Gaussian elimination with pivot tightening. Zbl 1181.65047
Garloff, Jürgen
2009
Solution of systems of polynomial equations by using Bernstein expansion. Zbl 0987.65043
Garloff, Jürgen; Smith, Andrew P.
2001
Intervals of totally nonnegative matrices. Zbl 1283.15099
2013
Improved tests and characterizations of totally nonnegative matrices. Zbl 1327.15065
2014
Intervals of almost totally positive matrices. Zbl 1019.15008
Garloff, Jürgen
2003
Application of Bernstein expansion to the solution of control problems. Zbl 0965.65095
Garloff, Jürgen
2000
Preservation of total nonnegativity under the Hadamard product and related topics. Zbl 0891.15015
Garloff, Jürgen; Wagner, David G.
1996
The Hadamard factorization of Hurwitz and Schur stable polynomials. Zbl 0876.26014
Garloff, J.; Srinivasan, B.
1996
Convergent bounds for the range of multivariate polynomials. Zbl 0598.65006
Garloff, J.
1986
Intervals of P-matrices and related matrices. Zbl 0545.15009
Białas, S.; Garloff, J.
1984
Totally nonnegative interval matrices. Zbl 0537.15012
Garloff, Jürgen
1980
Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices. Zbl 1349.15090
2017
Invariance of total positivity of a matrix under entry-wise perturbation and completion problems. Zbl 1347.15039
2016
Invariance of total nonnegativity of a tridiagonal matrix under element-wise perturbation. Zbl 1286.15042
2014
Robust Schur stability of polynomials with polynomial parameter dependency. Zbl 0940.93055
Garloff, Jürgen; Graf, Birgit
1999
Block methods for the solution of linear interval equations. Zbl 0712.65016
Garloff, Jürgen
1990
On the spectral properties of nonsingular matrices that are strictly sign-regular for some order with applications to totally positive discrete-time systems. Zbl 1415.15008
Alseidi, Rola; Margaliot, Michael; Garloff, Jürgen
2019
Intervals of special sign regular matrices. Zbl 1369.15019
2016
Solving linear systems with polynomial parameter dependency with application to the verified solution of problems in structural mechanics. Zbl 1311.65033
Garloff, Jürgen; Popova, Evgenija D.; Smith, Andrew P.
2013
Inclusion isotonicity of convex-concave extensions for polynomials based on Bernstein expansion. Zbl 1239.65028
Garloff, Jürgen; Jansson, Christian; Smith, Andrew Paul
2003
Solution of linear equations having a Toeplitz interval matrix as coefficient matrix. Zbl 0631.65023
Garloff, Jürgen
1986
Optimal inclusion of a solution set. Zbl 0598.65028
Garloff, J.; Krawczyk, R.
1986
New integration formulas which use nodes outside the integration interval. Zbl 0591.65020
Garloff, J.; Solak, W.; Szydełko, Z.
1986
Majorization between the diagonal elements and the eigenvalues of an oscillating matrix. Zbl 0493.15016
Garloff, Juergen
1982
Matrix methods for the tensorial Bernstein form. Zbl 1429.65125
2019
Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization. Zbl 1386.15031
Adm, Mohammad; Al Muhtaseb, Khawla; Ghani, Ayed Abedel; Fallat, Shaun; Garloff, Jürgen
2018
Matrix methods for the simplicial Bernstein representation and for the evaluation of multivariate polynomials. Zbl 1426.41009
2017
Bounds for the range of a bivariate polynomial over a triangle. Zbl 0896.65008
Hungerbühler, Ralf; Garloff, Jürgen
1998
Vertex implications for totally nonnegative matrices. Zbl 0891.15016
Garloff, Jürgen
1996
An inverse eigenvalue problem for totally nonnegative matrices. Zbl 0557.15010
Garloff, Jürgen
1985
A bibliography on interval mathematics (Continuation). Zbl 0426.65014
Garloff, Jürgen; Schwierz, Klaus-Peter
1980
Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices. Zbl 1440.15027
2020
Total nonnegativity of the extended Perron complement. Zbl 1346.15029
2016
Total nonnegativity of matrices related to polynomial roots and poles of rational functions. Zbl 1329.15064
2016
Convergence of the simplicial rational Bernstein form. Zbl 1370.90174
2015
Guaranteed parameter set estimation for exponential sums: the three-terms case. Zbl 1120.65077
Garloff, Jürgen; Idriss, Ismail; Smith, Andrew P.
2007
A comparison of methods for the computation of affine lower bound functions for polynomials. Zbl 1132.90361
Garloff, Jürgen; Smith, Andrew P.
2005
Accelerating consistency techniques and Prony’s method for reliable parameter estimation of exponential sums. Zbl 1132.65309
Garloff, Jürgen; Granvilliers, Laurent; Smith, Andrew P.
2005
An improved method for the computation of affine lower bound functions for polynomials. Zbl 1165.90593
Garloff, J.; Smith, A. P.
2004
Computation of the Bernstein coefficients on subdivided triangles. Zbl 0958.65026
Hungerbühler, Ralf; Garloff, Jürgen
2000
On power-boundedness of interval matrices. Zbl 0593.65022
Garloff, J.
1986
Zur intervallmäßigen Durchführung der schnellen Fourier- Transformation. Zbl 0462.65080
Garloff, J.
1980
Untersuchungen zur Intervallinterpolation. Zbl 0439.41002
Garloff, Jürgen
1980
Optimale Schranken bei Intervallinterpolation mit Polynomen und mit Funktionen $$ax^b$$. Zbl 0415.65029
Garloff, J.
1979
Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices. Zbl 1440.15027
2020
On the spectral properties of nonsingular matrices that are strictly sign-regular for some order with applications to totally positive discrete-time systems. Zbl 1415.15008
Alseidi, Rola; Margaliot, Michael; Garloff, Jürgen
2019
Matrix methods for the tensorial Bernstein form. Zbl 1429.65125
2019
Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization. Zbl 1386.15031
Adm, Mohammad; Al Muhtaseb, Khawla; Ghani, Ayed Abedel; Fallat, Shaun; Garloff, Jürgen
2018
Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices. Zbl 1349.15090
2017
Matrix methods for the simplicial Bernstein representation and for the evaluation of multivariate polynomials. Zbl 1426.41009
2017
Invariance of total positivity of a matrix under entry-wise perturbation and completion problems. Zbl 1347.15039
2016
Intervals of special sign regular matrices. Zbl 1369.15019
2016
Total nonnegativity of the extended Perron complement. Zbl 1346.15029
2016
Total nonnegativity of matrices related to polynomial roots and poles of rational functions. Zbl 1329.15064
2016
Convergence of the simplicial rational Bernstein form. Zbl 1370.90174
2015
Improved tests and characterizations of totally nonnegative matrices. Zbl 1327.15065
2014
Invariance of total nonnegativity of a tridiagonal matrix under element-wise perturbation. Zbl 1286.15042
2014
Intervals of totally nonnegative matrices. Zbl 1283.15099
2013
Solving linear systems with polynomial parameter dependency with application to the verified solution of problems in structural mechanics. Zbl 1311.65033
Garloff, Jürgen; Popova, Evgenija D.; Smith, Andrew P.
2013
Interval Gaussian elimination with pivot tightening. Zbl 1181.65047
Garloff, Jürgen
2009
Guaranteed parameter set estimation for exponential sums: the three-terms case. Zbl 1120.65077
Garloff, Jürgen; Idriss, Ismail; Smith, Andrew P.
2007
A comparison of methods for the computation of affine lower bound functions for polynomials. Zbl 1132.90361
Garloff, Jürgen; Smith, Andrew P.
2005
Accelerating consistency techniques and Prony’s method for reliable parameter estimation of exponential sums. Zbl 1132.65309
Garloff, Jürgen; Granvilliers, Laurent; Smith, Andrew P.
2005
An improved method for the computation of affine lower bound functions for polynomials. Zbl 1165.90593
Garloff, J.; Smith, A. P.
2004
Lower bound functions for polynomials. Zbl 1032.65055
Garloff, Jürgen; Jansson, Christian; Smith, Andrew P.
2003
Intervals of almost totally positive matrices. Zbl 1019.15008
Garloff, Jürgen
2003
Inclusion isotonicity of convex-concave extensions for polynomials based on Bernstein expansion. Zbl 1239.65028
Garloff, Jürgen; Jansson, Christian; Smith, Andrew Paul
2003
Investigation of a subdivision based algorithm for solving systems of polynomial equations. Zbl 1042.65526
Garloff, Jürgen; Smith, Andrew P.
2001
Solution of systems of polynomial equations by using Bernstein expansion. Zbl 0987.65043
Garloff, Jürgen; Smith, Andrew P.
2001
Application of Bernstein expansion to the solution of control problems. Zbl 0965.65095
Garloff, Jürgen
2000
Computation of the Bernstein coefficients on subdivided triangles. Zbl 0958.65026
Hungerbühler, Ralf; Garloff, Jürgen
2000
Robust Schur stability of polynomials with polynomial parameter dependency. Zbl 0940.93055
Garloff, Jürgen; Graf, Birgit
1999
Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion. Zbl 0906.93046
Zettler, M.; Garloff, J.
1998
Bounds for the range of a bivariate polynomial over a triangle. Zbl 0896.65008
Hungerbühler, Ralf; Garloff, Jürgen
1998
Hadamard products of stable polynomials are stable. Zbl 0860.15018
Garloff, Jürgen; Wagner, David G.
1996
Preservation of total nonnegativity under the Hadamard product and related topics. Zbl 0891.15015
Garloff, Jürgen; Wagner, David G.
1996
The Hadamard factorization of Hurwitz and Schur stable polynomials. Zbl 0876.26014
Garloff, J.; Srinivasan, B.
1996
Vertex implications for totally nonnegative matrices. Zbl 0891.15016
Garloff, Jürgen
1996
The Bernstein algorithm. Zbl 0829.65017
Garloff, Jürgen
1993
Block methods for the solution of linear interval equations. Zbl 0712.65016
Garloff, Jürgen
1990
Bounds for the eigenvalues of the solution of the discrete Riccati and Lyapunov equations and the continuous Lyapunov equation. Zbl 0591.15010
Garloff, Jürgen
1986
Convergent bounds for the range of multivariate polynomials. Zbl 0598.65006
Garloff, J.
1986
Solution of linear equations having a Toeplitz interval matrix as coefficient matrix. Zbl 0631.65023
Garloff, Jürgen
1986
Optimal inclusion of a solution set. Zbl 0598.65028
Garloff, J.; Krawczyk, R.
1986
New integration formulas which use nodes outside the integration interval. Zbl 0591.65020
Garloff, J.; Solak, W.; Szydełko, Z.
1986
On power-boundedness of interval matrices. Zbl 0593.65022
Garloff, J.
1986
Convex combinations of stable polynomials. Zbl 0562.30009
Białas, S.; Garloff, J.
1985
Stability of polynomials under coefficient perturbation. Zbl 0555.65010
Białas, S.; Garloff, J.
1985
An inverse eigenvalue problem for totally nonnegative matrices. Zbl 0557.15010
Garloff, Jürgen
1985
Intervals of P-matrices and related matrices. Zbl 0545.15009
Białas, S.; Garloff, J.
1984
Criteria for sign regularity of sets of matrices. Zbl 0534.15017
Garloff, Jürgen
1982
Majorization between the diagonal elements and the eigenvalues of an oscillating matrix. Zbl 0493.15016
Garloff, Juergen
1982
Totally nonnegative interval matrices. Zbl 0537.15012
Garloff, Jürgen
1980
A bibliography on interval mathematics (Continuation). Zbl 0426.65014
Garloff, Jürgen; Schwierz, Klaus-Peter
1980
Zur intervallmäßigen Durchführung der schnellen Fourier- Transformation. Zbl 0462.65080
Garloff, J.
1980
Untersuchungen zur Intervallinterpolation. Zbl 0439.41002
Garloff, Jürgen
1980
Optimale Schranken bei Intervallinterpolation mit Polynomen und mit Funktionen $$ax^b$$. Zbl 0415.65029
Garloff, J.
1979
all top 5

#### Cited by 268 Authors

 27 Linear Algebra and its Applications 14 Systems & Control Letters 12 International Journal of Control 9 Automatica 9 Journal of Global Optimization 7 Journal of the Franklin Institute 6 Journal of Mathematical Analysis and Applications 6 Linear and Multilinear Algebra 6 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 4 International Journal of Systems Science 4 Computing 4 Computer Aided Geometric Design 4 Reliable Computing 4 ELA. The Electronic Journal of Linear Algebra 3 MCSS. Mathematics of Control, Signals, and Systems 3 Applied Mathematical Modelling 3 Annals of Mathematics and Artificial Intelligence 3 Mathematical Problems in Engineering 3 Soft Computing 2 Journal of Optimization Theory and Applications 2 Proceedings of the American Mathematical Society 2 Journal of Automated Reasoning 2 Multidimensional Systems and Signal Processing 2 Mathematical Programming. Series A. Series B 2 Mathematical Methods of Operations Research 2 Mathematics in Computer Science 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 BIT 1 Information Sciences 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Computer and System Sciences 1 Mathematics and Computers in Simulation 1 Opsearch 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Circuits, Systems, and Signal Processing 1 Optimization 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Computers & Operations Research 1 SIAM Journal on Matrix Analysis and Applications 1 Neural Networks 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 Formal Methods in System Design 1 Engineering Analysis with Boundary Elements 1 Constraints 1 Science in China. Series E 1 International Journal of Shape Modeling 1 Abstract and Applied Analysis 1 Journal of Shanghai University 1 Advances in Difference Equations 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Advances in Numerical Analysis 1 Asian Journal of Control 1 S$$\vec{\text{e}}$$MA Journal 1 International Journal of Applied and Computational Mathematics