Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian
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Publication:1594772
DOI10.1007/BF02168360zbMath0955.00017MaRDI QIDQ1594772
No author found.
Publication date: 7 February 2001
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to numerical analysis (65-06)
Uses Software
Cites Work
- Accurate Solutions of Ill-Posed Problems in control theory
- The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations
- Properties of the system matrix of a generalized state-space system†
- A Jordan Factorization Theorem for Polynomial Matrices
- A Hessenberg-Schur method for the problem AX + XB= C
- A Schur method for solving algebraic Riccati equations
- An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix
- On the Separation of Two Matrices
- Accelerated Gauss-Newton algorithms for nonlinear least squares problems
- The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators
- Fitting Empirical Data by Positive Sums of Exponentials
- Factorizations of Transfer Functions
- Minimal cascade factorization of real and complex rational transfer matrices
- The generalized eigenstructure problem in linear system theory
- A Generalized Eigenvalue Approach for Solving Riccati Equations
- Properties of numerical algorithms related to computing controllability
- Algorithms for Separable Nonlinear Least Squares Problems
- Numerical Solution of a Quadratic Matrix Equation
- The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems
- Towards a Generalized Singular Value Decomposition
- A relationship between sensitivity and stability of multivariable feedback systems
- Solving Symmetric-Definite Quadratic $\lambda $-Matrix Problems without Factorization
- Algorithm 590: DSUBSP and EXCHQZ : FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum
- Distributed and Shared Memory Block Algorithms for the Triangular Sylvester Equation with $\operatorname{sep}^{ - 1} $ Estimators
- Numerical Considerations in Computing Invariant Subspaces
- Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
- Gershgorin Theory for the Generalized Eigenvalue Problem Ax = λBx
- 𝑆𝑂𝑅-methods for the eigenvalue problem with large sparse matrices
- Simultaneous Iteration for Partial Eigensolution of Real Matrices
- A General Matrix Eigenvalue Algorithm
- Iterative Solution of the Generalized Eigenvalue Problem
- Generalizing the Singular Value Decomposition
- Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
- Some Thoughts on the QZ Algorithm for Solving the Generalized Eigenvalue Problem
- Solution of Non-linear Eigenvalue Problems by the Continuation Method
- Perturbation Bounds for the $QR$ Factorization of a Matrix
- The Algebraic Theory of Matrix Polynomials
- Toward a mathematical theory of inductive inference
- Generalized Eigenvalue Problems for Rectangular Matrices
- Algorithms for Solvents of Matrix Polynomials
- A propos de l’algorithme $QZ$
- Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
- LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs
- $Ax = \lambda Bx$ and the Generalized Eigenproblem
- Singular functions of polynomial matrices
- Solving eigenvalue problems for two-parameter polynomial matrices. Methods and algorithms. Part I.
- Experience with a Matrix Norm Estimator
- Analytic properties of the singular values of a rational matrix
- The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
- Structural properties of linear dynamical systems
- Construction of analogs of the Lyapunov equation for a matrix polynomial
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Irreducible Realizations and the Degree of a Rational Matrix
- Calculating the Singular Values and Pseudo-Inverse of a Matrix
- The Rotation of Eigenvectors by a Perturbation. III
- Perturbation bounds for means of eigenvalues and invariant subspaces
- On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices
- Numerical Linear Algebra
- On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$
- An Algorithm for Generalized Matrix Eigenvalue Problems
- An algorithm for numerical determination of the structure of a general matrix
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- Algorithms for the Nonlinear Eigenvalue Problem
- The singular pencil of a linear dynamical system†
- The method of conjugate gradients used in inverse iteration
- Rang revealing QR factorizations
- The generalized eigenvalue problem and acoustic surface wave computations
- The codimension of singular matrix pairs
- The computation of Kronecker's canonical form of a singular pencil
- Rational Krylov sequence methods for eigenvalue computation
- Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
- Inversion of lamdba-matrices and application to the theory of linear vibrations
- AB-algorithm and its modifications for the spectral problems of linear pencils of matrices
- Computing the CS and the generalized singular value decompositions
- The Lanczos-Arnoldi algorithm and controllability
- The generalized singular value decomposition and the general (A-\(\lambda\) B)-problem
- Perturbation bounds for the Cholesky and QR factorizations
- Matrices and indefinite scalar products
- Numerical aspects of Gram-Schmidt orthogonalization of vectors
- Computing the CS decomposition of a partitioned orthonormal matrix
- A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix
- Solving nonlinear eigenvalue problems by algorithmic differentiation
- On perturbations and the equivalence orbit of a matrix pencil
- Lanczos algorithms and field of value rotations for symmetric matrix pencils
- Computing stable eigendecompositions of matrices
- Computing stable eigendecompositions of matrix pencils
- An improved algorithm for the computation of Kronecker's canonical form of a singular pencil
- The weak and strong stability of algorithms in numerical linear algebra
- Minimal factorization of matrix and operator functions
- An accelerated subspace iteration method
- On rank-deficient pseudoinverses
- Kronecker's canonical form and the QZ algorithm
- Pole assignment via Sylvester's equation
- Solving sparse symmetric definite quadratic lambda-matrix problems
- Computation of zeros of linear multivariable systems
- An Arnoldi-based iterative scheme for nonsymmetric matrix pencils arising in finite element stability problems
- Componentwise perturbation bounds for some matrix decompositions
- The roots of matrix pencils \((Ay=\lambda By)\): Existence, calculations, and relations to game theory
- On the closeness of eigenvalues and singular values for almost normal matrices
- Iterative eigenvalue algorithms based on convergent splittings
- Matrix eigensystem routines - EISPACK guide. 2nd ed
- On the latent roots of \(\lambda\)matrices
- A fundamental theorem on lambda-matrices with applications. I: Ordinary differential equations with constant coefficients
- Relative factorization of polynomials of several variables
- Solution of systems of nonlinear algebraic equations in three variables. Methods and algorithms. III
- On a method for estimating unremovable error.
- Parallel and large-scale matrix computations in control: Some ideas
- On roots of functional lambda matrices
- The eigenstructure of an arbitrary polynomial matrix: Computational aspects
- The AB-algorithm and its properties
- The singular-function method for computing the eigenvalues of polynomial matrices
- On eigenvalues of matrices dependent on a parameter
- Nonlinear eigenvalue problems
- The solution of characteristic value-vector problems by Newton's method
- Singular value decomposition and least squares solutions
- Computational aspects of F. L. Bauer's simultaneous iteration method
- A gradient method for the matrix eigenvalue problem \(Ax = \lambda Bx\)
- An Algorithm for Computing Reducing Subspaces by Block Diagonalization
- On the Perturbation of LU, Cholesky, and QR Factorizations
- A New Algorithm for Numerical Path Following Applied to an Example from Hydrodynamical Flow
- Fundamental, reachability, and observability matrices for discrete descriptor systems
- On Kublanovskaya’s Approach to the Solution of the Generalized Latent Value Problem for Functional $\lambda $-Matrices
- Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
- A LINPACK-style condition estimator for the equation<tex>AX-XB^{T} = C</tex>
- The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses
- Computation of eigenpairs of for vibrations of spinning deformable bodies
- Accurate Singular Values of Bidiagonal Matrices
- Algorithm 598
- A method for eigenvalues of sparse λ-matrices
- Perturbation Analysis for the Generalized Singular Value Problem
- Polynomial matrices and feedback
- RGSVD—AN Algorithm for Computing the Kronecker Structure and Reducing Subspaces of Singular $A - \lambda B$ Pencils
- Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
- Data-flow algorithms for parallel matrix computation
- Computing the Generalized Singular Value Decomposition
- Numerical Solution of Matrix Polynomial Equations by Newton's Method