Matrices over a Hilbert space and their low-rank cross approximation | Paper Citation Record

Observation 0b6e6162-302b-4e2b-bac8-83d9e93c916f · outbound

This paper cites Adaptive cross tubal tensor approximation.Linear Algebra Appl695, 168–90.

Matrices over a Hilbert space and their low-rank cross approximation Adaptive cross tubal tensor approximation.Linear Algebra Appl695, 168–90

Reference 1

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Reference 2

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This paper cites Black box approximation of tensors in hierarchical Tucker format.

Matrices over a Hilbert space and their low-rank cross approximation Black box approximation of tensors in hierarchical Tucker format

Reference 3

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Reference 4

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This paper cites Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case.Electron Trans Numer Anal53, 28–112.

Matrices over a Hilbert space and their low-rank cross approximation Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case.Electron Trans Numer Anal53, 28–112

Reference 5

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Observation 8f58fd9a-7e5c-4531-a7da-872b594f50e1 · outbound

This paper cites Numer Math86,565–89.doi: 10.

Matrices over a Hilbert space and their low-rank cross approximation Numer Math86,565–89.doi: 10

Reference 6

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This paper cites Adaptive low-rank approximation of collocation matrices.Com- puting 70, 1–24.

Matrices over a Hilbert space and their low-rank cross approximation Adaptive low-rank approximation of collocation matrices.Com- puting 70, 1–24

Reference 7

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Observation 898a1a25-ba78-4fc9-8a61-f241dd8a3c31 · outbound

This paper cites Third-order tensors as linear operators on a space of matrices.Linear Algebra Appl 433, 1241–53.

Matrices over a Hilbert space and their low-rank cross approximation Third-order tensors as linear operators on a space of matrices.Linear Algebra Appl 433, 1241–53

Reference 8

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This paper cites 1007/978-0-387-70914-7 (Springer, 2011).

Matrices over a Hilbert space and their low-rank cross approximation 1007/978-0-387-70914-7 (Springer, 2011)

Reference 9

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Reference 10

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Reference 11

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Observation 6150280c-52b8-4286-a4ae-d3da66ffe09b · outbound

This paper cites Mode-wise Tensor Decompositions: Multi-dimensional Generalizations of CUR Decompositions.

Matrices over a Hilbert space and their low-rank cross approximation Mode-wise Tensor Decompositions: Multi-dimensional Generalizations of CUR Decompositions

Reference 12

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Observation df7abf64-e757-46ad-9ce4-99ec350898d7 · outbound

This paper cites Generalizing the column–row matrix decomposition to multi-way arrays.

Matrices over a Hilbert space and their low-rank cross approximation Generalizing the column–row matrix decomposition to multi-way arrays

Reference 13

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Observation a0d01508-e5d7-4706-89a2-67c4174228c3 · outbound

This paper cites Exact matrix completion via convex optimization.Found Comput Math 9, 717–72.

Matrices over a Hilbert space and their low-rank cross approximation Exact matrix completion via convex optimization.Found Comput Math 9, 717–72

Reference 14

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Observation fa9ad7ea-528b-46c1-9842-da0f90a05db9 · outbound

This paper cites QR decomposition of Laurent polynomial matrices sampled on the unit circle.IEEE Trans Inf Theory56, 4754–61.

Matrices over a Hilbert space and their low-rank cross approximation QR decomposition of Laurent polynomial matrices sampled on the unit circle.IEEE Trans Inf Theory56, 4754–61

Reference 15

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Observation 107b3b48-e60a-4742-82ef-36fd6f4c25b5 · outbound

This paper cites On the compression of low rank matrices.

Matrices over a Hilbert space and their low-rank cross approximation On the compression of low rank matrices

Reference 16

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Observation 32d6b3d5-9ac7-4582-b07f-0f81433185bc · outbound

This paper cites Approximation of high-dimensional parametric PDEs.Acta Numer24, 1–159.

Matrices over a Hilbert space and their low-rank cross approximation Approximation of high-dimensional parametric PDEs.Acta Numer24, 1–159

Reference 17

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Observation 0552a89d-1658-4361-87e6-c75465852f1e · outbound

This paper cites On maximum volume submatrices and cross approxi- mation for symmetric semidefinite and diagonally dominant matrices.Linear Algebra Appl 593, 251–68.

Matrices over a Hilbert space and their low-rank cross approximation On maximum volume submatrices and cross approxi- mation for symmetric semidefinite and diagonally dominant matrices.Linear Algebra Appl 593, 251–68

Reference 18

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Observation 2aa3cdd0-71be-43c3-845d-aa4debf66c2b · outbound

This paper cites A multilinear singular value decomposition.

Matrices over a Hilbert space and their low-rank cross approximation A multilinear singular value decomposition

Reference 19

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Observation ecc5761f-abb7-4fdc-b3be-8ee3d4b3be29 · outbound

This paper cites Hyperspectral image super-resolution via subspace-based low tensor multi- rank regularization.IEEE Trans Image Process28, 5135–46.

Matrices over a Hilbert space and their low-rank cross approximation Hyperspectral image super-resolution via subspace-based low tensor multi- rank regularization.IEEE Trans Image Process28, 5135–46

Reference 20

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Matrices over a Hilbert space and their low-rank cross approximation Unresolved cited work

Reference 21

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Observation 1ca4e582-159e-4207-904d-425ccf9019bd · outbound

This paper cites On slow-fading MIMO systems with nonseparable correlation.

Matrices over a Hilbert space and their low-rank cross approximation On slow-fading MIMO systems with nonseparable correlation

Reference 22

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Observation fd8cacb1-e78b-471c-b92f-542285c6f575 · outbound

This paper cites An algorithm for calculating the QR and singular value decompositions of polynomial matrices.IEEE Trans Signal Process58, 1263–74.

Matrices over a Hilbert space and their low-rank cross approximation An algorithm for calculating the QR and singular value decompositions of polynomial matrices.IEEE Trans Signal Process58, 1263–74

Reference 23

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Observation 9e0cfb93-a933-413b-a449-a02741310d78 · outbound

This paper cites Nuclear norm of higher-order tensors.Math Comput 87, 1255–81.

Matrices over a Hilbert space and their low-rank cross approximation Nuclear norm of higher-order tensors.Math Comput 87, 1255–81

Reference 24

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Reference 25

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Observation 3a7c6067-c640-48e5-ab78-325e5cffc0f8 · outbound

This paper cites Matrix Polynomials doi:10.

Matrices over a Hilbert space and their low-rank cross approximation Matrix Polynomials doi:10

Reference 26

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Reference 27

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Observation ff2fd565-c8a3-4b07-9e64-b1f67b97b767 · outbound

This paper cites A theory of pseudoskeleton approxima- tions.

Matrices over a Hilbert space and their low-rank cross approximation A theory of pseudoskeleton approxima- tions

Reference 28

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Observation 91626036-07ed-4957-bbd9-68cc9d40bf1a · outbound

This paper cites Pseudo-skeleton approximations of matri- ces.

Matrices over a Hilbert space and their low-rank cross approximation Pseudo-skeleton approximations of matri- ces

Reference 29

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Observation 5992d3e3-f429-4288-8fba-ec15bddd322b · outbound

This paper cites Computing 74,205–23.doi: 10.

Matrices over a Hilbert space and their low-rank cross approximation Computing 74,205–23.doi: 10

Reference 30

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This paper cites doi:10.1007/978- 3- 030-35554-8 (Springer, 2010).

Matrices over a Hilbert space and their low-rank cross approximation doi:10.1007/978- 3- 030-35554-8 (Springer, 2010)

Reference 32

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Observation 97aa9baf-9e0a-4222-9526-1d7d5307526e · outbound

This paper cites Perspectives on CUR decompositions.Appl Comput Harmon Anal48, 1088–99.

Matrices over a Hilbert space and their low-rank cross approximation Perspectives on CUR decompositions.Appl Comput Harmon Anal48, 1088–99

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Observation bc5ca3c4-4e40-4c59-a3bd-dfdb3420eb75 · outbound

This paper cites Perturbations of CUR decompositions.SIAM J Matrix Anal Appl42, 351–75.

Matrices over a Hilbert space and their low-rank cross approximation Perturbations of CUR decompositions.SIAM J Matrix Anal Appl42, 351–75

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Observation 2afa5448-da32-4256-a392-6aa9be3b6698 · outbound

This paper cites Guaranteed functional tensor singular value decomposition.J Am Stat Assoc119, 995–1007.

Matrices over a Hilbert space and their low-rank cross approximation Guaranteed functional tensor singular value decomposition.J Am Stat Assoc119, 995–1007

Reference 35

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Reference 36

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Observation 7218349d-1fa5-45a4-b401-4d786424aaed · outbound

This paper cites hal: hal-00747253.

Matrices over a Hilbert space and their low-rank cross approximation hal: hal-00747253

Reference 37

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Observation b37ff9c7-ca48-4366-9ff4-b4ce97922b33 · outbound

This paper cites Robust quaternion matrix completion with applications to image inpainting.

Matrices over a Hilbert space and their low-rank cross approximation Robust quaternion matrix completion with applications to image inpainting

Reference 38

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Observation 326d8f37-866f-41c1-b9ac-6641e2896f70 · outbound

This paper cites Tensor-tensor products with invertible linear transforms.

Matrices over a Hilbert space and their low-rank cross approximation Tensor-tensor products with invertible linear transforms

Reference 39

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This paper cites Third-order tensors as operators on matrices: A theoretical and computational framework with applications in imaging.SIAM J Matrix Anal Appl34, 148–72.

Matrices over a Hilbert space and their low-rank cross approximation Third-order tensors as operators on matrices: A theoretical and computational framework with applications in imaging.SIAM J Matrix Anal Appl34, 148–72

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Observation 65bdc825-b762-43c6-9a9a-8bafb625a820 · outbound

This paper cites Factorization strategies for third-order tensors.Linear Algebra Appl 435, 641–58.

Matrices over a Hilbert space and their low-rank cross approximation Factorization strategies for third-order tensors.Linear Algebra Appl 435, 641–58

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Observation c5421514-488a-4fac-a04c-f1ff8a66ae7b · outbound

This paper cites Factorization of a 768-bit RSA modulusin CRYPTO 2010 (2010), 333–50.

Matrices over a Hilbert space and their low-rank cross approximation Factorization of a 768-bit RSA modulusin CRYPTO 2010 (2010), 333–50

Reference 42

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Observation 05023ff3-893d-4df0-8a3a-dbb286ca2af6 · outbound

This paper cites On the approximation of vector-valued functions by volume sampling.

Matrices over a Hilbert space and their low-rank cross approximation On the approximation of vector-valued functions by volume sampling

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Observation 6f692e7b-3ca6-4cdb-84c0-eaf6a8e44f31 · outbound

This paper cites Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data.

Matrices over a Hilbert space and their low-rank cross approximation Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data

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Observation 7963a642-26c3-429b-a851-db07f8a53ccc · outbound

This paper cites Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing.Signal Process84, 1177–99.

Matrices over a Hilbert space and their low-rank cross approximation Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing.Signal Process84, 1177–99

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Observation dd06d907-73ab-478a-ab2b-3441ecc2b077 · outbound

This paper cites An Empirical Analysis of Privacy in the Lightning Network.

Matrices over a Hilbert space and their low-rank cross approximation An Empirical Analysis of Privacy in the Lightning Network

Reference 46

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Observation 1a2f6066-d21b-49d5-ba8f-711fa5028636 · outbound

This paper cites CUR matrix decompositions for improved data analysis.Proc Natl Acad Sci106, 697–702.

Matrices over a Hilbert space and their low-rank cross approximation CUR matrix decompositions for improved data analysis.Proc Natl Acad Sci106, 697–702

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Observation d14baad3-3dde-482b-b19a-e466dacd05ff · outbound

This paper cites Interpolatory tensorial reduced order models for parametric dynamical systems.Comput Methods Appl Mech Eng397, 115122.

Matrices over a Hilbert space and their low-rank cross approximation Interpolatory tensorial reduced order models for parametric dynamical systems.Comput Methods Appl Mech Eng397, 115122

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Observation 8f9ae705-22e9-46fd-bfd2-37763156f0fa · outbound

This paper cites Model order reduction of parametric dynamical systems by slice sampling tensor completion.

Matrices over a Hilbert space and their low-rank cross approximation Model order reduction of parametric dynamical systems by slice sampling tensor completion

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Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T23:21:24.388796Z

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Observation e731edc9-13f7-4538-a4bc-f8c1a4d08c64 · outbound

This paper cites Tensorial parametric model order reduction of nonlinear dy- namical systems.SIAM J Sci Comput46, A1850–A1878.

Matrices over a Hilbert space and their low-rank cross approximation Tensorial parametric model order reduction of nonlinear dy- namical systems.SIAM J Sci Comput46, A1850–A1878

Reference 50

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Observation 9048b5f2-0b85-4c0f-a373-fe1f17158fcc · outbound

This paper cites A priori analysis of a tensor ROM for parameter dependent parabolic problems.SIAM J Numer Anal63, 239–61.

Matrices over a Hilbert space and their low-rank cross approximation A priori analysis of a tensor ROM for parameter dependent parabolic problems.SIAM J Numer Anal63, 239–61

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Matrices over a Hilbert space and their low-rank cross approximation Unresolved cited work

Reference 52

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Observation 12aa45b2-3f4c-4cf8-b820-a881e3fa8ab4 · outbound

This paper cites Quaternions in signal and image processing: A comprehensive and objective overview.IEEE Signal Process Mag40, 26–40.

Matrices over a Hilbert space and their low-rank cross approximation Quaternions in signal and image processing: A comprehensive and objective overview.IEEE Signal Process Mag40, 26–40

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Observation 9951f732-63b9-488c-a776-dc8202ba9089 · outbound

This paper cites Quaternion-MUSIC for vector-sensor array processing.IEEE Trans Signal Process54, 1218–29.

Matrices over a Hilbert space and their low-rank cross approximation Quaternion-MUSIC for vector-sensor array processing.IEEE Trans Signal Process54, 1218–29

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Observation 4d6e9e52-3dec-43c3-811d-e2c02fbc8f33 · outbound

This paper cites Symmetric gauge functions and unitarily invariant norms.Q J Math 11, 50–9.

Matrices over a Hilbert space and their low-rank cross approximation Symmetric gauge functions and unitarily invariant norms.Q J Math 11, 50–9

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Observation f0308ab9-63ba-475a-bb6e-31b45d9e543b · outbound

This paper cites Quasitubal Tensor Algebra Over Separable Hilbert Spaces.

Matrices over a Hilbert space and their low-rank cross approximation Quasitubal Tensor Algebra Over Separable Hilbert Spaces

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Observation 09ba1ad2-1894-4f43-b9f7-23e1c9c670bd · outbound

This paper cites Polyno- mial eigenvalue decomposition for multichannel broadband signal processing: a mathemat- ical technique offering new insights and solutions.

Matrices over a Hilbert space and their low-rank cross approximation Polyno- mial eigenvalue decomposition for multichannel broadband signal processing: a mathemat- ical technique offering new insights and solutions

Reference 57

Resolution: metadata mismatch; raw_fallback, observed 2026-08-15T23:21:25.017819Z

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Observation f6106319-7461-4666-b7ec-6a4c46dd0004 · outbound

This paper cites TT-cross approximation for multidimensional arrays.Linear Algebra Appl432, 70–88.

Matrices over a Hilbert space and their low-rank cross approximation TT-cross approximation for multidimensional arrays.Linear Algebra Appl432, 70–88

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Observation 1b4a50f8-1e21-4cae-8f0b-6fe71a9613a7 · outbound

This paper cites Tucker dimensionality reduction of three- dimensional arrays in linear time.

Matrices over a Hilbert space and their low-rank cross approximation Tucker dimensionality reduction of three- dimensional arrays in linear time

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:21:25.609333Z

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Observation a3ed0ca7-4d69-422a-8665-19f958161888 · outbound

This paper cites Pseudo-skeleton approximations with better accuracy esti- mates.

Matrices over a Hilbert space and their low-rank cross approximation Pseudo-skeleton approximations with better accuracy esti- mates

Reference 60

Resolution: verified exact; doi, observed 2026-08-15T23:21:24.319329Z

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Observation eae7b518-33db-4788-8773-e2c5338b77ef · outbound

This paper cites Relevance of polynomial matrix decompositions to broad- band blind signal separation.Signal Process134, 76–86.

Matrices over a Hilbert space and their low-rank cross approximation Relevance of polynomial matrix decompositions to broad- band blind signal separation.Signal Process134, 76–86

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Resolution: verified exact; doi, observed 2026-08-15T23:21:24.307949Z

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Observation 2b69e393-5cc5-4de7-b436-0ae7e4fb607c · outbound

This paper cites Matrix valued adaptive cross approximation.Math Methods Appl Sci 40, 2522–31.

Matrices over a Hilbert space and their low-rank cross approximation Matrix valued adaptive cross approximation.Math Methods Appl Sci 40, 2522–31

Reference 62

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Observation 24671159-b4a6-4cc7-a1bf-77ceced6adbc · outbound

This paper cites Lecture 3: Static nonlinear PDEs.https://pub.

Matrices over a Hilbert space and their low-rank cross approximation Lecture 3: Static nonlinear PDEs.https://pub

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:21:25.598155Z

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Observation cb3a9ad4-e229-4aa4-b9c4-04c81eb29ce2 · outbound

This paper cites Communication over finite-field matrix channels.IEEE Trans Inf Theory56, 1296–305.

Matrices over a Hilbert space and their low-rank cross approximation Communication over finite-field matrix channels.IEEE Trans Inf Theory56, 1296–305

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Observation ae9dc357-ecf6-497d-a6d1-045eb92d7e5e · outbound

This paper cites doi:10.23919/EUSIPCO63174.2024.10715267.

Matrices over a Hilbert space and their low-rank cross approximation doi:10.23919/EUSIPCO63174.2024.10715267

Reference 65

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This paper cites Multilinear singular value decomposition–based completion with fibers observed in a single mode.SIAM J Matrix Anal Appl46, 1061–90.

Matrices over a Hilbert space and their low-rank cross approximation Multilinear singular value decomposition–based completion with fibers observed in a single mode.SIAM J Matrix Anal Appl46, 1061–90

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Observation 6daf086f-2a25-40e6-a829-184e61ebadc5 · outbound

This paper cites Continuous analogues of matrix factorizations.Proc R Soc A: Math Phys Eng Sci471, 20140585.

Matrices over a Hilbert space and their low-rank cross approximation Continuous analogues of matrix factorizations.Proc R Soc A: Math Phys Eng Sci471, 20140585

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Resolution: verified exact; raw_fallback, observed 2026-08-15T23:21:24.795245Z

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Observation ab56ab80-7337-4bf3-9135-40c7ad2b7d53 · outbound

This paper cites Householder triangularization of a quasimatrix.IMA J Numer Anal30, 887–.

Matrices over a Hilbert space and their low-rank cross approximation Householder triangularization of a quasimatrix.IMA J Numer Anal30, 887–

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:21:25.586683Z

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Observation e6a3e0ac-a1c0-4ff8-a884-98d0424b3c63 · outbound

This paper cites an unresolved cited work.

Matrices over a Hilbert space and their low-rank cross approximation Unresolved cited work

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-15T23:21:24.169551Z

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Observation 8702e14a-4e46-4da3-b2a1-f961ab088c83 · outbound

This paper cites an unresolved cited work.

Matrices over a Hilbert space and their low-rank cross approximation Unresolved cited work

Reference 70

Resolution: malformed identifier; no resolver link, observed 2026-08-15T23:21:24.172792Z

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Observation a2024e8b-1842-4fa7-b14d-326299f0b90d · outbound

This paper cites Incomplete cross approximation in the mosaic-skeleton method.Computing 64, 367–80.

Matrices over a Hilbert space and their low-rank cross approximation Incomplete cross approximation in the mosaic-skeleton method.Computing 64, 367–80

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Resolution: verified exact; doi, observed 2026-08-15T23:21:24.250484Z

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Observation b9eb8830-9e41-4717-829d-fef301eb6667 · outbound

This paper cites Efficient algorithms for CUR and interpolative matrix decompo- sitions.

Matrices over a Hilbert space and their low-rank cross approximation Efficient algorithms for CUR and interpolative matrix decompo- sitions

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Resolution: unresolved; no resolver link, observed 2026-08-15T23:21:24.180336Z

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Observation 1379346d-6abb-42a4-aae0-526c7fe5d778 · outbound

This paper cites Properties and structure of the analytic singular value decomposition.IEEE Trans Signal Process72, 2260–75.

Matrices over a Hilbert space and their low-rank cross approximation Properties and structure of the analytic singular value decomposition.IEEE Trans Signal Process72, 2260–75

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Resolution: unresolved; no resolver link, observed 2026-08-15T23:21:24.184162Z

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Observation 48228b57-c957-464d-9c11-c8d559da9724 · outbound

This paper cites Quaternions and matrices of quaternions.Linear Algebra Appl251, 21–57.

Matrices over a Hilbert space and their low-rank cross approximation Quaternions and matrices of quaternions.Linear Algebra Appl251, 21–57

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:21:25.575431Z

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Observation 62182711-2208-46b8-8021-8044e7a45626 · outbound

This paper cites Exact tensor completion using t-SVD.IEEE Trans Signal Process65, 1511–26.

Matrices over a Hilbert space and their low-rank cross approximation Exact tensor completion using t-SVD.IEEE Trans Signal Process65, 1511–26

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Resolution: unresolved; no resolver link, observed 2026-08-15T23:21:24.190480Z

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This paper cites doi:10.1007/978-3-031- 49432-1_9.

Matrices over a Hilbert space and their low-rank cross approximation doi:10.1007/978-3-031- 49432-1_9

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Resolution: malformed identifier; no resolver link, observed 2026-08-15T23:21:24.193761Z

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Observation 07085279-4393-46e3-8601-fcb52bce3689 · outbound

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Matrices over a Hilbert space and their low-rank cross approximation Unresolved cited work

Reference 97

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