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Oblique projections: Formulas, algorithms, and error bounds

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-5700-4openalex-snapshot
A Short Introduction to Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-1-4612-6387-6openalex-snapshot
Finite-Dimensional Vector Spaces
inferredcites →https://doi.org/10.1007/978-1-4613-2267-2_11openalex-snapshot
Smoothing with Blackouts
inferredcites →https://doi.org/10.1007/bf02551235openalex-snapshot
Error bounds for the method of alternating projections
inferredcites →https://doi.org/10.1016/0022-247x(78)90214-7openalex-snapshot
The angles between the null spaces of X rays
inferredcites →https://doi.org/10.1017/s0305004100032916openalex-snapshot
Orthogonal and oblique projectors and the characteristics of pairs of vector spaces
inferredcites →https://doi.org/10.1080/00207178208922661openalex-snapshot
A unified treatment of fast algorithms for identification†
inferredcites →https://doi.org/10.1080/00207178408933184openalex-snapshot
A vector space approach to the indefinite LQR problem
inferredcites →https://doi.org/10.1080/00401706.1983.10487911openalex-snapshot
The Foundations of Multivariate Analysis
inferredcites →https://doi.org/10.1090/s0002-9947-1937-1501894-5openalex-snapshot
On complementary manifolds and projections in spaces 𝐿_{𝑝} and 𝑙_{𝑝}
inferredcites →https://doi.org/10.1090/s0002-9947-1939-1501988-6openalex-snapshot
On a calculus of operators in reflexive vector spaces
inferredcites →https://doi.org/10.1090/s0002-9947-1950-0051437-7openalex-snapshot
Theory of reproducing kernels
inferredcites →https://doi.org/10.1090/s0002-9947-1967-0214135-5openalex-snapshot
On the Alternating Projections Theorem and Bivariate Stationary Stochastic Processes
inferredcites →https://doi.org/10.1109/cdc.1986.267203openalex-snapshot
Fast algorithms for the reconstruction of images from hyperbolic systems
inferredcites →https://doi.org/10.1109/tac.1979.1101973openalex-snapshot
Computation and transmission requirements for a decentralized linear-quadratic-Gaussian control problem
inferredcites →https://doi.org/10.1109/tac.1980.1102389openalex-snapshot
Comments on "Computation and transmission requirements for a decentralized linear-quadratic-Gaussian control"
inferredcites →https://doi.org/10.1109/tac.1983.1103149openalex-snapshot
A normalized ladder form of the residual energy ratio algorithm for PARCOR estimation via projections
inferredcites →https://doi.org/10.1109/tac.1985.1103865openalex-snapshot
The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore
inferredcites →https://doi.org/10.1109/tcs.1978.1084541openalex-snapshot
Generalized Image Restoration by the Method of Alternating Orthogonal Projections
inferredcites →https://doi.org/10.1137/0126074openalex-snapshot
Solutions of the Matrix Equation $XAX = X$, and Relations between Oblique and Orthogonal Projectors
inferredcites →https://doi.org/10.1137/0322010openalex-snapshot
New Results on the Interpolation Problem for Continuous-Time Stationary Increments Processes
inferredcites →https://doi.org/10.1137/0719031openalex-snapshot
The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
inferredcites →https://doi.org/10.1137/1113049openalex-snapshot
A General Solution of a Problem in Linear Prediction of Stationary Processes
inferredcites →https://doi.org/10.1142/9789813270886_0005openalex-snapshot
Finite Dimensional Vector Spaces

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/9781119457695.ch7openalex-snapshot
Stochastic Subspace Identification
inferred← citeshttps://doi.org/10.1007/978-0-8176-8212-5_2openalex-snapshot
Sampling Without Input Constraints: Consistent Reconstruction in Arbitrary Spaces
inferred← citeshttps://doi.org/10.1007/s00041-003-0004-2openalex-snapshot
Sampling with Arbitrary Sampling and Reconstruction Spaces and Oblique Dual Frame Vectors
inferred← citeshttps://doi.org/10.1007/s10915-025-03004-xopenalex-snapshot
A surrogate hyperplane Kaczmarz method with oblique projection for solving linear systems
inferred← citeshttps://doi.org/10.1007/s11767-004-0036-zopenalex-snapshot
Oblique projection realization of a Kernel-based Nonlinear Discriminator
inferred← citeshttps://doi.org/10.1016/j.dsp.2025.105835openalex-snapshot
Gridless coherent polarization-DOA estimation using intermediate supervision with angle-guided
inferred← citeshttps://doi.org/10.1016/j.jfranklin.2010.03.005openalex-snapshot
The geometry of linearly and quadratically constrained optimization problems for signal processing and communications
inferred← citeshttps://doi.org/10.1016/j.rinam.2022.100342openalex-snapshot
Kaczmarz method with oblique projection
inferred← citeshttps://doi.org/10.1016/j.sigpro.2009.04.023openalex-snapshot
Oblique projection for source estimation in a competitive environment: Algorithm and statistical analysis
inferred← citeshttps://doi.org/10.1016/s0167-8191(00)00100-9openalex-snapshot
Component averaging: An efficient iterative parallel algorithm for large and sparse unstructured problems
inferred← citeshttps://doi.org/10.1017/cbo9780511804458openalex-snapshot
Convex Optimization in Signal Processing and Communications
inferred← citeshttps://doi.org/10.1049/iet-rsn.2014.0197openalex-snapshot
Multiple input and multiple output synthetic aperture radar multiple waveform separation based on oblique projection in same frequency coverage
inferred← citeshttps://doi.org/10.1088/1751-8113/40/24/007openalex-snapshot
Constructive updating/downdating of oblique projectors: a generalization of the Gram–Schmidt process
inferred← citeshttps://doi.org/10.1109/4234.975484openalex-snapshot
On geometric properties of the decorrelator
inferred← citeshttps://doi.org/10.1109/78.286957openalex-snapshot
Signal processing applications of oblique projection operators
inferred← citeshttps://doi.org/10.1109/acc.1995.531232openalex-snapshot
Oblique state-space estimation algorithms
inferred← citeshttps://doi.org/10.1109/icassp.1998.679545openalex-snapshot
Subspace-based detection for CDMA communications
inferred← citeshttps://doi.org/10.1109/icccas.2004.1346373openalex-snapshot
Eigenface classification using an extended kernel-based nonlinear discriminator
inferred← citeshttps://doi.org/10.1109/lawp.2016.2599925openalex-snapshot
On the Properties of 2 × 2 Oblique Projection Operators
inferred← citeshttps://doi.org/10.1109/mape.2009.5355940openalex-snapshot
A polarization filtering method based on oblique projection operator
inferred← citeshttps://doi.org/10.1109/msp.2002.1043298openalex-snapshot
Quantum signal processing
inferred← citeshttps://doi.org/10.1109/ssp.2005.1628611openalex-snapshot
Multi-Rank Adaptive Beamforming
inferred← citeshttps://doi.org/10.1109/tac.2021.3103905openalex-snapshot
State Conditional Filtering
inferred← citeshttps://doi.org/10.1109/taslp.2019.2957883openalex-snapshot
Successive Relative Transfer Function Identification Using Blind Oblique Projection
inferred← citeshttps://doi.org/10.1109/tsp.2004.837400openalex-snapshot
Two-channel constrained least squares problems: solutions using power methods and connections with canonical coordinates
inferred← citeshttps://doi.org/10.1109/tsp.2006.873488openalex-snapshot
A minimum squared-error framework for generalized sampling
inferred← citeshttps://doi.org/10.1109/tsp.2007.896284openalex-snapshot
Minimax Approximation of Representation Coefficients From Generalized Samples
inferred← citeshttps://doi.org/10.1109/tsp.2007.900761openalex-snapshot
GPS Civil Signal Self-Interference Mitigation During Weak Signal Acquisition
inferred← citeshttps://doi.org/10.1109/tsp.2007.909348openalex-snapshot
Oblique Projections for Direction-of-Arrival Estimation With Prior Knowledge
inferred← citeshttps://doi.org/10.1134/s1054661817020080openalex-snapshot
Subjective models, oblique projectors, and optimal decisions in image morphology
inferred← citeshttps://doi.org/10.1134/s1064226918110128openalex-snapshot
Effect of Oblique Projection Beamforming on the Achievable Rate in Massive MIMO System
inferred← citeshttps://doi.org/10.1137/100792093openalex-snapshot
On the Numerical Analysis of Oblique Projectors
inferred← citeshttps://doi.org/10.1155/s108533750321201xopenalex-snapshot
Iterative algorithms with seminorm‐induced oblique projections
inferred← citeshttps://doi.org/10.1186/s12938-016-0244-4openalex-snapshot
Eigenspace-based beamformer using oblique signal subspace projection for ultrasound plane-wave imaging
inferred← citeshttps://doi.org/10.2514/6.2007-3446openalex-snapshot
Acoustic Array Measurements in Aerodynamic Wind Tunnels : A Subspace Approach for Noise Suppression
inferred← citeshttps://doi.org/10.4064/bc67-0-12openalex-snapshot
A classification of projectors
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