Search Results - "Numerical solutions to inverse eigenvalue problems"

Inverse eigenproblems for real symmetric doubly arrowhead matrices

Authors: Pickmann Soto, Hubert Rohner Arela Pérez, Susana Egaña Arancibia, Juan Carlos et al.

Source: Proyecciones (Antofagasta, On line); Vol. 39 No. 5 (2020); 1315-1331 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 5 (2020); 1315-1331 ; 0717-6279 ; 10.22199/issn.0717-6279-2020-05

Subject Terms: Real Symmetric matrices, Doubly arrowhead matrices, Inverse eigenvalue problem, 15A18, Eigenvalues, singular values, and eigenvectors, 15A42, Inequalities involving eigenvalues and eigenvectors, 65F18, Numerical solutions to inverse eigenvalue problems

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Relation: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4006/3560; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4006

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https://doi.org/10.22199/issn.0717-6279-2020-05-0080

Solution of spectral problems for polynomial matrices

Authors: V. N. Kublanovskaya

Source: Journal of Mathematical Sciences. 127:2024-2032

Subject Terms: Eigenvalues, singular values, and eigenvectors, Matrices over function rings in one or more variables, greatest common divisor, Other matrix algorithms, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, polynomial matrices, 02 engineering and technology, 0101 mathematics, Inverse problems in linear algebra, 0210 nano-technology, 01 natural sciences, factorizations

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Access URL: https://zbmath.org/2214096
https://doi.org/10.1007/s10958-005-0160-9
https://link.springer.com/article/10.1007/s10958-005-0160-9

Orthonormal rational function vectors

Authors: Marc Van Barel Steven Delvaux

Source: Numerische Mathematik. 100:409-440

Subject Terms: orthonormal rational function vectors, Algorithms for approximation of functions, prescribed singularities, discrete inner product, block QR decomposition, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, 0101 mathematics, Direct numerical methods for linear systems and matrix inversion, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences

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Access URL: http://www.cs.kuleuven.be/publicaties/rapporten/tw/TW390.pdf
https://zbmath.org/2175550
https://doi.org/10.1007/s00211-005-0586-5
https://link.springer.com/article/10.1007/s00211-005-0586-5
https://core.ac.uk/display/34329948
https://link.springer.com/10.1007/s00211-005-0586-5

Strong Semismoothness of the Fischer-Burmeister SDC and SOC Complementarity Functions: Strong semismoothness of the Fischer-Burmeister SDC and SOC complementarity functions

Authors: Sun, D. Sun, J. MATHEMATICS et al.

Contributors: Sun, D. Sun, J. MATHEMATICS et al.

Source: Mathematical Programming. 103:575-581

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, 0211 other engineering and technologies, Numerical solutions to inverse eigenvalue problems, 02 engineering and technology, 16. Peace & justice, SDC, 01 natural sciences, strong semismoothness, Semidefinite programming, Fischer-Burmeister function, SOC, Strong semismoothness, 0101 mathematics, SVD, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)

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The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation

Authors: Zhen-yun Peng

Source: Applied Mathematics and Computation. 162:1377-1389

Subject Terms: numerical examples, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, 0101 mathematics, best approximation, inverse singular value problems, 01 natural sciences, matrix norm, Hermitian anti-reflexive matrix

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Access URL: http://www.sciencedirect.com/science/article/pii/S009630030400195X
https://dblp.uni-trier.de/db/journals/amc/amc162.html#Peng05
https://www.sciencedirect.com/science/article/pii/S009630030400195X

Constructing Jacobi matrices with prescribed ordered defective eigenpairs and a principal submatrix

Authors: Xuli Han Zhen-yun Peng

Source: Journal of Computational and Applied Mathematics. 175:321-333

Subject Terms: Computational Mathematics, algorithm, Jacobi matrix, Principal submatrix, Applied Mathematics, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, Ordered eigenpair, 0101 mathematics, Ordered defective eigenpair, 01 natural sciences, tridiagonal matrix

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Access URL: https://zbmath.org/2137456
https://doi.org/10.1016/j.cam.2004.05.016
https://www.sciencedirect.com/science/article/pii/S0377042704002365
https://www.sciencedirect.com/science/article/abs/pii/S0377042704002365
https://ui.adsabs.harvard.edu/abs/2005JCoAM.175..321P/abstract
https://core.ac.uk/display/82208852

On the comparison of some realizability criteria for the real nonnegative inverse eigenvalue problem

Authors: Soto, R Borobia, A Moro, J

Source: LINEAR ALGEBRA AND ITS APPLICATIONS
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANID
instacron:ANID
Articulos_ANID
Agencia Nacional de Investigación y Desarrollo

Subject Terms: Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, Brauer's theorem, Nonnegative inverse eigenvalue problem, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, Brauer's Theorem, Inverse problems in linear algebra, nonnegative matrix, 01 natural sciences, Positive matrices and their generalizations, cones of matrices, Real matrices with constant row sums, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics

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https://core.ac.uk/display/82286130
http://hdl.handle.net/10533/176461
https://repositorio-qa.anid.cl/handle/10533/176461
https://hdl.handle.net/10533/176461

On the sensitivity of Lanczos recursions to the spectrum

Authors: Liliana Borcea Leonid Knizhnerman Vladimir Druskin

Source: Linear Algebra and its Applications. 396:103-125

Subject Terms: Iterative numerical methods for linear systems, Numerical Analysis, discrete Gel'fand-Levitan method, Algebra and Number Theory, Orthogonal polynomials, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, error bounds, 01 natural sciences, discrete Sturm-Liouville problems, Lanczos recurrence, Sturm-Liouville theory, Sylvester equation, stability estimates, Jacobi inverse eigenvalue problem, Lanczos process, Discrete Mathematics and Combinatorics, Discrete Gel'fand–Levitan method, Geometry and Topology, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, tridiagonal matrix

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0024379504003933
https://core.ac.uk/display/82431073
https://www.sciencedirect.com/science/article/pii/S0024379504003933
http://www-personal.umich.edu/~borcea/Publications/lanczrec.pdf

Orthogonal Rational Functions and Structured Matrices: Orthogonal rational functions and structured matrices

Authors: M. VAN BAREL D. FASINO GEMIGNANI, LUCA et al.

Source: SIAM journal on matrix analysis and applications
26 (2005): 810–829. doi:10.1137/S0895479803444454
info:cnr-pdr/source/autori:Marc Van Barel; Dario Fasino; Luca Gemignani; Nicola Mastronardi/titolo:Orthogonal rational functions and structured matrices/doi:10.1137%2FS0895479803444454/rivista:SIAM journal on matrix analysis and applications (Print)/anno:2005/pagina_da:810/pagina_a:829/intervallo_pagine:810–829/volume:26

Subject Terms: inverse eigenvalue problems, recurrence relation, Numerical solutions to inverse eigenvalue problems, orthogonal rational functions, structured matrices, diagonal-plus-semiseparable matrices, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences

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https://doi.org/10.1137/S0895479803444454
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https://hdl.handle.net/20.500.14243/161688
https://doi.org/10.1137/S0895479803444454
https://hdl.handle.net/11568/96413

Necessary and Sufficient Conditions for the Existence of Positive Definite Solutions to the Symmetric Recursive Inverse Eigenvalue Problem: Necessary and sufficient conditions for the existence of positive definite solutions to the symmetric recursive inverse eigenvalue problem

Authors: Min Fang Jing Wang Zhenyue Zhang

Source: SIAM Journal on Matrix Analysis and Applications. 26:1115-1131

Subject Terms: Eigenvalues, singular values, and eigenvectors, Hermitian, skew-Hermitian, and related matrices, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, overdetermined linear system, 0101 mathematics, Inverse problems in linear algebra, numerical experiments, positive definite/semidefinite solution, 01 natural sciences

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https://dl.acm.org/doi/10.1137/S0895479803431338
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https://epubs.siam.org/doi/10.1137/S0895479803431338

The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation: The inverse eigenproblem of centrosymmetric matrices with a submatrix constraint and its approximation

Authors: Bai, Z.-J. MATHEMATICS

Contributors: Bai, Z.-J. MATHEMATICS

Source: SIAM Journal on Matrix Analysis and Applications. 26:1100-1114

Subject Terms: algorithm, centrosymmetric matrix, 4. Education, Numerical computation of matrix norms, conditioning, scaling, Numerical solutions to inverse eigenvalue problems, 01 natural sciences, Frobenius distance, Inverse problem, inverse eigenproblem, Best approximation, 0101 mathematics, numerical experiments, Centrosymmetric matrix, best approximation

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http://math.xmu.edu.cn/school/teacher/bai/papers/ip6.pdf
https://dblp.uni-trier.de/db/journals/siammax/siammax26.html#Bai05
https://locus.siam.org/doi/abs/10.1137/S0895479803434185

Generalized Finite Algorithms for Constructing Hermitian Matrices with Prescribed Diagonal and Spectrum: Generalized finite algorithms for constructing Hermitian matrices with prescribed diagonal and spectrum

Authors: Dhillon, Inderjit S. Heath, Robert W., Jr. Sustik, Mátyás A. et al.

Source: SIAM Journal on Matrix Analysis and Applications. 27:61-71

Subject Terms: numerical examples, plane rotations, finite-step algorithms, Hermitian matrices, majorization, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, 0101 mathematics, Schur-Horn theorem, 01 natural sciences

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Access URL: http://www.cs.utexas.edu/users/inderjit/public_papers/hermitian_diag_eig.pdf
https://authors.library.caltech.edu/9036/
https://authors.library.caltech.edu/9036/1/DHIsiamjmaa05.pdf
https://dblp.uni-trier.de/db/journals/siammax/siammax27.html#DhillonHST05
https://epubs.siam.org/doi/10.1137/S0895479803438183
https://dl.acm.org/doi/10.1137/S0895479803438183
https://www.cs.utexas.edu/users/inderjit/public_papers/hermitian_diag_eig.pdf

Inverse eigenproblem for centrosymmetric and centroskew matrices and their approximation

Authors: Zheng-jian Bai Raymond H. Chan

Source: Theoretical Computer Science. 315:309-318

Subject Terms: centrosymmetric matrix, Eigenproblem, centroskew symmetric matrix, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, 0101 mathematics, Centrosymmetric matrix, 01 natural sciences, Centroskew matrix, Theoretical Computer Science, Computer Science(all)

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https://dl.acm.org/doi/10.1016/j.tcs.2004.01.017
https://ccam.xmu.edu.cn/teacher/zjbai/papers/centro.pdf
https://core.ac.uk/display/41346769

On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem

Authors: Lu, L. Z. Ng, M. K.

Source: Numerische Mathematik. 98:167-176

Subject Terms: Eigenvalues, singular values, and eigenvectors, algorithm, Inverse problems involving ordinary differential equations, inverse Sturm-Liouville problems, Numerical solutions to inverse eigenvalue problems, Inverse problems in linear algebra, 01 natural sciences, Sturm-Liouville theory, inverse eigenvalue problems, existence of solutions, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Numerical solution of inverse problems involving ordinary differential equations, Jacobi matrices

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https://doi.org/10.1007/s00211-004-0525-x
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https://dblp.uni-trier.de/db/journals/nm/nm98.html#LuN04
https://core.ac.uk/display/41371171

Gradient flow methods for matrix completion with prescribed eigenvalues: Gradient flow methods for matrix completion with prescribed eigenvalues.

Authors: CHU M. T DIELE F SGURA, Ivonne

Source: Linear algebra and its applications 379 (2004): 85–112. doi:10.1016/S0024-3795(03)00393-8
info:cnr-pdr/source/autori:Chu, M.T.; Diele F.; Sgura I./titolo:Gradient flow methods for matrix completion with prescribed eigenvalues/doi:10.1016%2FS0024-3795(03)00393-8/rivista:Linear algebra and its applications/anno:2004/pagina_da:85/pagina_a:112/intervallo_pagine:85–112/volume:379

Subject Terms: Matrix completion, Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, prescribed entries, ODE solvers, Prescribed entries, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, Inverse problems in linear algebra, 01 natural sciences, Isospectral matrices, Restart, gradient flow methods, isospectral matrices, Gradient flow, Inverse eigenvalue problem, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, numerical experiments, matrix completion

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https://hdl.handle.net/20.500.14243/161555
https://doi.org/10.1016/S0024-3795(03)00393-8

Orthogonal basis functions in discrete least-squares rational approximation: Orthogonal basis functions in discrete least-squares rational approximation.

Authors: Bultheel, Adhemar Van Barel, Marc Van gucht, Patrick

Source: Journal of Computational and Applied Mathematics. :175-194

Subject Terms: 0209 industrial biotechnology, polynomials, Mathematics, Applied, Numerical & Computational Mathematics, generalized orthonormal basis, 02 engineering and technology, FREQUENCY, 01 natural sciences, system-identification, Least squares, least squares, models, Approximation by rational functions, POLYNOMIALS, 0102 Applied Mathematics, BASES, Orthogonal rational functions, bases, 4901 Applied mathematics, ALGORITHM, 0101 mathematics, System identification, approximation, Approximation, system identification, 4613 Theory of computation, algorithm, Science & Technology, 0103 Numerical and Computational Mathematics, Applied Mathematics, GENERALIZED ORTHONORMAL BASIS, orthogonal rational functions, Numerical solutions to inverse eigenvalue problems, General harmonic expansions, frames, 0906 Electrical and Electronic Engineering, Computational Mathematics, frequency, Physical Sciences, 4903 Numerical and computational mathematics, plus-semiseparable matrices, SYSTEM-IDENTIFICATION, Mathematics

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Access URL: https://zbmath.org/2057224
https://doi.org/10.1016/s0377-0427(03)00497-7
https://dl.acm.org/citation.cfm?id=986735.986749
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Some partial inverse eigenvalue problems: recovering diagonal entries of symmetric matrices: Some partial inverse eigenvalue problems: recovering diagonal entries of symmetric matrices.

Authors: D. Paul Phillips

Source: Linear Algebra and its Applications. 380:263-270

Subject Terms: Symmetric matrices, Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, Discrete Mathematics and Combinatorics, Numerical solutions to inverse eigenvalue problems, Partial inverse eigenvalue problems, Geometry and Topology, 0101 mathematics, Inverse problems in linear algebra, 01 natural sciences

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Access URL: https://zbmath.org/2062872
https://doi.org/10.1016/j.laa.2003.10.025
https://core.ac.uk/display/82544622
https://www.sciencedirect.com/science/article/abs/pii/S0024379503008358
https://www.sciencedirect.com/science/article/pii/S0024379503008358

An inverse eigenvalue procedure for damage detection in rods

Authors: Raúl Jiménez Juan C. Egaña Nelson M. Kuhl et al.

Source: Computers & Mathematics with Applications. 47:643-657

Subject Terms: Computational Mathematics, Vibrations in dynamical problems in solid mechanics, Computational Theory and Mathematics, Inverse eigenvalue problems, Modelling and Simulation, 0103 physical sciences, Numerical solutions to inverse eigenvalue problems, Rods (beams, columns, shafts, arches, rings, etc.), Damage detection, 0101 mathematics, 01 natural sciences

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Access URL: http://www.sciencedirect.com/science/article/pii/S0898122104900521
https://www.sciencedirect.com/science/article/pii/S0898122104900521

On Inverse Quadratic Eigenvalue Problems with Partially Prescribed Eigenstructure: On inverse quadratic eigenvalue problems with partially prescribed eigenstructure

Authors: Moody T. Chu Yuen-Cheng Kuo Wen-Wei Lin

Source: SIAM Journal on Matrix Analysis and Applications. 25:995-1020

Subject Terms: quadratic eigenvalue problem, partially prescribed spectrum, partial eigenstructure assignment, eigenvectors, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, 0101 mathematics, Matrix pencils, quadratic pencil, 01 natural sciences

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Access URL: https://epubs.siam.org/doi/10.1137/S0895479803404484
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https://doi.org/10.1137/S0895479803404484
https://dblp.uni-trier.de/db/journals/siammax/siammax25.html#ChuKL04

Stability Estimates on the Jacobi and Unitary Hessenberg Inverse Eigenvalue Problems: Stability estimates on the Jacobi and unitary Hessenberg inverse eigenvalue problems

Authors: Leonid Knizhnerman

Source: SIAM Journal on Matrix Analysis and Applications. 26:154-169

Subject Terms: numerical examples, unitary Hessenberg inverse eigenvalue problem, Lanczos method, stability estimates, Jacobi inverse eigenvalue problem, Szegö polynomials, Numerical solutions to inverse eigenvalue problems, 0101 mathematics, Gaussian quadrature formula, 01 natural sciences, Hankel determinants, orthonormal polynomials

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https://doi.org/10.1137/s0895479802410098
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