Paper Citation Record · LEDGER

Biquadratic Tensors: Eigenvalues and Structured Tensors

As of 9 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2502.06447.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.06447 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:34:03.052716Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:46:40.981612Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T05:46:41.023232Z

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy35
unresolved0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed96f714-71ad-437b-9861-d41b2038dfda · outbound

This paper cites Proximal alternating linearized minimizationfor nonconvex and nonsmooth problems.

Biquadratic Tensors: Eigenvalues and Structured Tensors Proximal alternating linearized minimizationfor nonconvex and nonsmooth problems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.650763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c2a2982e-bf1d-4d63-ac5e-9ecf3d46154f · outbound

This paper cites Standard bi-quadratic optimization problems and unconstrained polynomial reformulations.

Biquadratic Tensors: Eigenvalues and Structured Tensors Standard bi-quadratic optimization problems and unconstrained polynomial reformulations

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.634637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a685fc12-1c28-4bae-8af4-8d9c36fb2387 · outbound

This paper cites Chang, Y.

Biquadratic Tensors: Eigenvalues and Structured Tensors Chang, Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.619062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c215b8b2-1f6f-4b36-9634-a0393b30f0f2 · outbound

This paper cites New M-eigenvalue intervals and application to the strong ellipticity of fourth-order partially symmetric tensors.

Biquadratic Tensors: Eigenvalues and Structured Tensors New M-eigenvalue intervals and application to the strong ellipticity of fourth-order partially symmetric tensors

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.602454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b7e8d1be-0f7f-403f-ab29-4d4c528a5a9a · outbound

This paper cites Block structure-based covariance tensor decomposition for group identification in matrix variables.

Biquadratic Tensors: Eigenvalues and Structured Tensors Block structure-based covariance tensor decomposition for group identification in matrix variables

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.587736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ced83579-d70c-4691-a121-314be1e10743 · outbound

This paper cites Spectra of uniform hypergraphs.

Biquadratic Tensors: Eigenvalues and Structured Tensors Spectra of uniform hypergraphs

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.572413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9cac3d9-944c-42a8-a387-dc4fa49ea85d · outbound

This paper cites Elasticity M-tensors and the strong ellipticity condi- tion.

Biquadratic Tensors: Eigenvalues and Structured Tensors Elasticity M-tensors and the strong ellipticity condi- tion

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.557773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9f79bd9a-d69d-4b69-8a6e-40156f1dc24f · outbound

This paper cites M-eigenvalue intervals and checkable sufficient conditions for the strong ellipticity.

Biquadratic Tensors: Eigenvalues and Structured Tensors M-eigenvalue intervals and checkable sufficient conditions for the strong ellipticity

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.542709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 776a28eb-7392-4272-8d6e-b72eadf82dfd · outbound

This paper cites ¨Uber die Darstellung definiter Formen als Summe von Formenquadraten.

Biquadratic Tensors: Eigenvalues and Structured Tensors ¨Uber die Darstellung definiter Formen als Summe von Formenquadraten

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.526704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7d086cde-930e-4e3c-a197-d5c92540d20e · outbound

This paper cites Bi-block positive semidefiniteness of bi-block symmetric tensors.

Biquadratic Tensors: Eigenvalues and Structured Tensors Bi-block positive semidefiniteness of bi-block symmetric tensors

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.509966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation df9a0a47-be19-4af0-b407-8b57a6191add · outbound

This paper cites Tensor and its tucker core: The invariance relationships.

Biquadratic Tensors: Eigenvalues and Structured Tensors Tensor and its tucker core: The invariance relationships

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.494054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation da8d9a4c-717d-49ac-8a28-5c2ce94238dd · outbound

This paper cites On the failure of ellipticity of the equations for finite elastostatic plane strain.

Biquadratic Tensors: Eigenvalues and Structured Tensors On the failure of ellipticity of the equations for finite elastostatic plane strain

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.478694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 77137226-feae-4280-bd3e-fbd22a5bcd0c · outbound

This paper cites Tensor decomposition and applications.

Biquadratic Tensors: Eigenvalues and Structured Tensors Tensor decomposition and applications

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.461634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3397264b-96fa-462c-9bf7-80b0fa31a306 · outbound

This paper cites M-eigenvalue inclusion intervals for a fourth-order partially sym- metric tensor.

Biquadratic Tensors: Eigenvalues and Structured Tensors M-eigenvalue inclusion intervals for a fourth-order partially sym- metric tensor

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.443093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b49c0ef9-acf2-4bc3-94eb-35bb5a6c97a8 · outbound

This paper cites Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors.

Biquadratic Tensors: Eigenvalues and Structured Tensors Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.423428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d13d1678-281b-4d93-8b5d-bddc9a4a5d23 · outbound

This paper cites Biquadratic optimization over unit spheres and semidef- inite programming relaxations.

Biquadratic Tensors: Eigenvalues and Structured Tensors Biquadratic optimization over unit spheres and semidef- inite programming relaxations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.408503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation edc48864-9f0b-4ae9-9b40-dd9c553f292b · outbound

This paper cites Nocedal and S.J.

Biquadratic Tensors: Eigenvalues and Structured Tensors Nocedal and S.J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.393565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c7464017-a4fa-4d50-93c1-c1b0f81d39b0 · outbound

This paper cites Nye, Physical Properties of Crystals: Their Representation by Tensors and Matrices , Clarendon Press, Oxford, second edition, 1985.

Biquadratic Tensors: Eigenvalues and Structured Tensors Nye, Physical Properties of Crystals: Their Representation by Tensors and Matrices , Clarendon Press, Oxford, second edition, 1985

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.378518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 45da214a-9404-4a77-aedf-3488e0f021ed · outbound

This paper cites Relaxed biquadratic optimization for joint filter-signal design in signal-dependent STAP.

Biquadratic Tensors: Eigenvalues and Structured Tensors Relaxed biquadratic optimization for joint filter-signal design in signal-dependent STAP

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.363370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f35df32b-3109-4aca-8c08-0ba33f24f585 · outbound

This paper cites Eigenvalues of a real supersymmetric tensor.

Biquadratic Tensors: Eigenvalues and Structured Tensors Eigenvalues of a real supersymmetric tensor

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.347745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b6c104a4-bf14-40c2-84ca-2b604589cf74 · outbound

This paper cites Conditions for strong ellipticity and M-eigenvalues.

Biquadratic Tensors: Eigenvalues and Structured Tensors Conditions for strong ellipticity and M-eigenvalues

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.331812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 303c94e9-6e7d-47f2-a342-8b84c1046d1f · outbound

This paper cites Biquadratic tensors, biquadratic decomposition and norms of biquadratic tensors.

Biquadratic Tensors: Eigenvalues and Structured Tensors Biquadratic tensors, biquadratic decomposition and norms of biquadratic tensors

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.315007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9ff5336f-7e6c-4e1b-99d1-ed6226691f5c · outbound

This paper cites Qi and Z.

Biquadratic Tensors: Eigenvalues and Structured Tensors Qi and Z

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.298901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c1a99eeb-3df9-41f9-83ec-1d2438591037 · outbound

This paper cites An even order symmetric B tensor is positive definite.

Biquadratic Tensors: Eigenvalues and Structured Tensors An even order symmetric B tensor is positive definite

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.283502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bfa7e663-926c-49d8-8852-83b6a2b04736 · outbound

This paper cites Rindler, Relativity: Special, General and Cosmological.

Biquadratic Tensors: Eigenvalues and Structured Tensors Rindler, Relativity: Special, General and Cosmological

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.267789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c6a08403-2056-4cd7-9e0c-6a06148e7e72 · outbound

This paper cites An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors.

Biquadratic Tensors: Eigenvalues and Structured Tensors An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.251588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eded1aa6-856b-4952-bc4c-a208308f0429 · outbound

This paper cites M-eigenvalues-based sufficient conditions for the positive definiteness of fourth-order partially symmetric tensors.

Biquadratic Tensors: Eigenvalues and Structured Tensors M-eigenvalues-based sufficient conditions for the positive definiteness of fourth-order partially symmetric tensors

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.235690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 63fb1136-cc67-4554-a4fc-8842525575f2 · outbound

This paper cites A practical method for computing the largest M-eigenvalue of a fourth-order partially symmetric tensor.

Biquadratic Tensors: Eigenvalues and Structured Tensors A practical method for computing the largest M-eigenvalue of a fourth-order partially symmetric tensor

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.219728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cf3fd8d9-4eeb-4b75-94f4-1e6e81fa4ccd · outbound

This paper cites M-eigenvalues of the Riemann curvature tensor.

Biquadratic Tensors: Eigenvalues and Structured Tensors M-eigenvalues of the Riemann curvature tensor

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.202474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f5cd8654-f502-4c5e-9eac-7ca9a1a994ed · outbound

This paper cites A short survey of recent ad- vances in graph matching.

Biquadratic Tensors: Eigenvalues and Structured Tensors A short survey of recent ad- vances in graph matching

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.187512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ef11895e-5cc8-47f9-aef1-3a04004970c5 · outbound

This paper cites On solving biquadratic optimization via semidefinite relaxation.

Biquadratic Tensors: Eigenvalues and Structured Tensors On solving biquadratic optimization via semidefinite relaxation

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.169599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0e825ec0-7fdf-453e-8d09-5e093e1186e6 · outbound

This paper cites Conditions of strong ellipticity and calculation of M-eigenvalues for a partially symmetric tensor.

Biquadratic Tensors: Eigenvalues and Structured Tensors Conditions of strong ellipticity and calculation of M-eigenvalues for a partially symmetric tensor

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.153037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4c3b5de1-e0c8-44a4-983e-6bef962600c0 · outbound

This paper cites Shifted inverse power method for computing the smallest M- eigenvalue of a fourth-order partially symmetric tensor.

Biquadratic Tensors: Eigenvalues and Structured Tensors Shifted inverse power method for computing the smallest M- eigenvalue of a fourth-order partially symmetric tensor

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.132663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a319d2bd-86ec-4fa1-8122-fb4a1dca5c0d · outbound

This paper cites Eshelby’s problem of non-elliptical inclusions.

Biquadratic Tensors: Eigenvalues and Structured Tensors Eshelby’s problem of non-elliptical inclusions

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.115783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 01a312fd-ad98-4f99-b9c2-1bade880e752 · outbound

This paper cites On necessary and sufficient conditions of strong ellipticity of equilibrium equations for certain classes of anisotropic linearly elastic materials.

Biquadratic Tensors: Eigenvalues and Structured Tensors On necessary and sufficient conditions of strong ellipticity of equilibrium equations for certain classes of anisotropic linearly elastic materials

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:34:03.097513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 29ed0212-e564-452a-8442-532fb6e71585 · inbound

Postive Semidefinite and Sum of Squares Biquadratic Polynomials cites this paper.

Postive Semidefinite and Sum of Squares Biquadratic Polynomials Biquadratic Tensors: Eigenvalues and Structured Tensors

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:46:41.030249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.