引用Inverse Eigenvalue Problems的参考文献

Inverse Eigenvalue Problems

This exposition also reveals many open questions that deserve further study. An extensive bibliography of pertinent literature is attached.

Copyright © 1998 Society for Industrial and Applied Mathematics

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(2015) Inverse eigenvalue problem for normal-hamiltonian matrices. Applied Mathematics Letters 48, 36-40.

(2015) Semidefinite inverse eigenvalue problems with prescribed entries and partial eigendata. Journal of Computational and Applied Mathematics 287, 115-124.

(2015) Construction of real skew-symmetric matrices from interlaced spectral data, and graph. Linear Algebra and its Applications 471, 241-263.

(2015) An algorithm for constructing nonnegative matrices with prescribed real eigenvalues. Applied Mathematics and Computation 256, 582-590.

(2015) A finite difference method for an inverse Sturm-Liouville problem in impedance form. Numerical Algorithms.

(2015) A structured method for the design-for-frequency of a brace-soundboard system using a scalloped brace. Applied Acoustics 88, 96-103.

(2015) An inverse eigenvalue problem for Jacobi matrix. Applied Mathematics and Computation 251, 633-642.

(2015) A backward error for the symmetric generalized inverse eigenvalue problem. Linear Algebra and its Applications 464, 90-99.

(2014) Generalized inverse eigenvalue problem for matrices whose graph is a path. Linear Algebra and its Applications 446, 224-236.

(2014) On a boundary value method for computing Sturm–Liouville potentials from two spectra. International Journal of Computer Mathematics 91, 490-513.

(2014) Transverse Vibration Analysis of Uniform Beams under Various Ends Restraints. APCBEE Procedia 9, 328-333.

(2013) Modified Numerov’s method for inverse Sturm–Liouville problems. Journal of Computational and Applied Mathematics 253, 181-199.

(2013) Decay rate estimations for linear quadratic optimal regulators. Linear Algebra

and its Applications 439, 3332-3358.

(2013) Linear parameterized inverse eigenvalue problem of bisymmetric matrices. Linear Algebra and its Applications 439, 1990-2007.

(2013) A Guass–Newton-like method for inverse eigenvalue problems. International Journal of Computer Mathematics 90, 1435-1447.

(2013) Leader–follower formation via complex Laplacian. Automatica 49, 1900-1906.

(2013) On the alternating direction method of multipliers for nonnegative inverse eigenvalue problems with partial eigendata. Journal of Computational and Applied Mathematics 239, 114-134.

(2013) A Globally Convergent Inexact Newton-Like Cayley Transform Method for Inverse Eigenvalue Problems. Journal of Applied Mathematics 2013, 1-11.

(2013) A note on the inverse mode shape problem for bars, beams, and plates. Inverse Problems in Science and Engineering 21, 1-16.

(2012) A gradient based iterative algorithm for solving model updating problems of gyroscopic systems. Applied Mathematical Modelling 36, 4810-4816.

(2012) Decent flow methods for inverse Sturm–Liouville problem. Applied Mathematical Modelling 36, 4452-4465.

(2012) Activation and Thermodynamic Parameter Study of the Heteronuclear C═O···H–N Hydrogen Bonding of Diphenylurethane Isomeric Structures by FT-IR Spectroscopy Using the Regularized Inversion of an Eigenvalue Problem. The Journal of Physical Chemistry A 116, 7797-7808.

(2012) Parameterized inverse singular value problem for anti-bisymmetric matrices. Numerical Algorithms 60, 501-522.

(2012) A general framework for Dynamic Emulation Modelling in environmental problems. Environmental Modelling & Software 34, 5-18.

(2012) Birefringence: calculation of refracted ray paths in biaxial crystals. The Visual Computer 28, 341-356.

(2012) An inverse problem for undamped gyroscopic systems. Journal of Computational and Applied Mathematics 236, 2574-2581.

(2012) On some inverse singular value problems with Toeplitz-related

structure. Numerical Algebra, Control and Optimization 2, 187-192.

(2012) Consistent systems and pole assignment: I. Differential Equations 48, 120-135.

(2011) The constrained inverse eigenvalue problem and its approximation for normal matrices. Linear Algebra and its Applications 435, 3115-3123.

(2011) Exploring isospectral spring-mass systems with firefly algorithm. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, 3222-3240.

(2011) Finite difference methods for half inverse Sturm–Liouville problems. Applied Mathematics and Computation 218, 445-457.

(2011) Modeling of Isomeric Structure of Diphenyl Urethane by FT-IR Spectroscopy During Synthesis from Phenylisocyanate and Phenol as an Inverse Kinetic Problem. The Journal of Physical Chemistry A 115, 8832-8844.

(2011) Solutions to an inverse monic quadratic eigenvalue problem. Linear Algebra and its Applications 434, 2367-2381.

(2011) Isospectral flow method for nonnegative inverse eigenvalue problem with prescribed structure. Journal of Computational and Applied Mathematics 235, 3990-4002.

Seak-weng Vong, Zheng-jian Bai, and Xiao-qing Jin. (2011) An Ulm-like Method for Inverse Singular Value Problems. SIAM Journal on Matrix Analysis and Applications 32:2, 412-429.Abstract | PDF (191 KB)

(2011) A Ulm-like method for inverse eigenvalue problems. Applied Numerical Mathematics 61, 356-367.

(2011) Inverse eigenvalue problems for bisymmetric matrices under a central principal submatrix constraint. Linear and Multilinear Algebra 59, 117-128.

(2010) The reconstruction of an hermitian toeplitz matrix with prescribed eigenpairs. Journal of Systems Science and Complexity 23, 961-970.

(2010) Snapshot selection for groundwater model reduction using proper orthogonal decomposition. Water Resources Research 46, n/a-n/a.

(2010) A backward error for the inverse singular value problem. Journal of Computational and Applied Mathematics 234, 2450-2455.

(2010) The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices. Journal of Computational and Applied Mathematics 234, 743-749.

(2010) On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks. Applied Mathematics and Computation 216, 1819-1830.

(2010) Fixing multiple eigenvalues by a minimal perturbation. Linear Algebra and its Applications 432, 1785-1817.

(2010) Conditionally Stable Multidimensional Schemes for Advective Equations. Journal of Scientific Computing 42, 96-117.

(2009) Inverse mode problems for the finite element model of a vibrating rod. Applied Mathematics and Computation 214, 479-486.

(2009) State feedback control with time delay. Mechanical Systems and Signal Processing 23, 1940-1945.

(2009) Spectroscopic and Kinetic Evidence on How Bacteriorhodopsin Accomplishes Vectorial Proton Transport under Functional Conditions. Journal of the American Chemical Society 131, 5891-5901.

(2009) Matrix Completion Problems. Linear Algebra and its Applications 430, 2511-2540.

(2008) A family of symmetric polynomials of the eigenvalues of a matrix. Linear Algebra and its Applications 429, 2199-2208.

(2008) An inexact Newton-type method for inverse singular value problems. Linear Algebra and its Applications 429, 527-547.

(2008) A survey on inverse and generalized inverse eigenvalue problems for Jacobi matrices. Applied Mathematics and Computation 195, 355-363.

Gautam Bharali and Olga Holtz. (2008) Functions Preserving Nonnegativity of Matrices. SIAM Journal on Matrix Analysis and Applications 30:1, 84-101.Abstract | PDF (207 KB)

(2008) Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method. Boundary Value Problems 2008, 749865.

(2008) Constructing the physical parameters of a damped vibrating system from eigendata. Linear Algebra and its Applications 428, 625-656.

(2007) An inverse eigenvalue problem and a matrix approximation problem for symmetric skew-hamiltonian matrices. Numerical Algorithms 46, 23-34.

(2007) An inverse eigenvalue problem and an associated approximation problem for generalized K-centrohermitian matrices. Journal of Computational and Applied Mathematics 206, 578-585.

(2007) Physical parameters reconstruction of a fixed–fixed mass-spring system from its characteristic data. Journal of Computational and Applied Mathematics 206, 645-655.

Yuen‐Cheng Kuo, Wen-Wei Lin, and Shu-Fang Xu. (2006) Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem. SIAM Journal on Matrix Analysis and Applications 29:1, 33-53.Abstract | PDF (213 KB)

(2006) Computing Sturm–Liouville potentials from two spectra. Inverse Problems 22, 2069-2081.

(2006) Free vibration and physical parameter identification of non-uniform composite beams. Composite Structures 74, 37-50.

(2006) Left and right inverse eigenpairs problem of skew-centrosymmetric matrices. Applied Mathematics and Computation 177, 105-110.

(2006) Least–Squares Solution of Inverse Problem for Hermitian Anti–reflexive Matrices and Its Appoximation. Acta Mathematica Sinica, English Series 22, 477-484.

(2006) Transcendental Inverse Eigenvalue Problem Associated with Longitudinal Vibrations in Rods. AIAA Journal 44, 317-322.

Robert Orsi. (2006) Numerical Methods for Solving Inverse Eigenvalue Problems for Nonnegative Matrices. SIAM Journal on Matrix Analysis and Applications 28:1,

190-212.Abstract | PDF (226 KB)

(2006) Reconstruction of potentials in the Sturm-Liouville inverse problem by the variational method. Doklady Mathematics 73, 107-111.

(2005) Fixing two eigenvalues by a minimal perturbation. Linear Algebra and its Applications 406, 177-200.

(2005) Weak stability for an inverse Sturm–Liouville problem with finite spectral data and complex potential. Inverse Problems 21, 1275-1290.

(2005) Strong Semismoothness of the Fischer-Burmeister SDC and SOC Complementarity Functions. Mathematical Programming 103, 575-581.

(2005) On an inverse spectral problem for a quadratic Jacobi matrix pencil. Journal of Mathematical Analysis and Applications 306, 1-17.

(2005) The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation. Applied Mathematics and Computation 162, 1377-1389.

(2005) Numerov's method for inverse Sturm–Liouville problems. Inverse Problems 21, 223-238.

(2005) On the sensitivity of Lanczos recursions to the spectrum. Linear Algebra and its Applications 396, 103-125.

(2005) Designing structured tight frames via an alternating projection method. IEEE Transactions on Information Theory 51, 188-209.

(2005) Realization of mechanical systems from second-order models. The Journal of the Acoustical Society of America 118, 762.

(2004) Material characterization of a Kelvin chain from dynamic response. ZAMM 84:10.1002/zamm.v84:12, 807-817.

(2004) An inexact Cayley transform method for inverse eigenvalue problems. Inverse Problems 20, 1675-1689.

(2004) Gradient flow methods for matrix completion with prescribed eigenvalues. Linear Algebra and its Applications 379, 85-112.

(2004) Some partial inverse eigenvalue problems: recovering diagonal entries of symmetric matrices. Linear Algebra and its Applications 380, 263-270.

(2004) Gradient flows and double bracket equations. Differential Geometry and its Applications 20, 209-224.

Moody T. Chu, Yuen-Cheng Kuo, and Wen-Wei Lin. (2006) On Inverse Quadratic Eigenvalue Problems with Partially Prescribed Eigenstructure. SIAM Journal on Matrix Analysis and Applications 25:4, 995-1020.Abstract | PDF (239 KB)

Fasma Diele, Teresa Laudadio, and Nicola Mastronardi. (2006) On Some Inverse Eigenvalue Problems with Toeplitz-Related Structure. SIAM Journal on Matrix Analysis and Applications 26:1, 285-294.Abstract | PDF (185 KB)

(2003) Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars. Linear Algebra and its Applications 373, 311-330.

(2003) Low rank perturbations and the spectrum of a tridiagonal sign pattern. Linear Algebra and its Applications 374, 219-230.

(2003) Centrosymmetric isospectral flows and some inverse eigenvalue problems. Linear Algebra and its Applications 366, 199-214.