Paper Citation Record · LEDGER

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization

As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2509.02849.

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pith.paper-citation-record.v1
2509.02849 v1

Coverage vector

measured 35 of 35 reference resolution

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Reference resolution

35 of 35 outbound references displayed

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External citation measurements

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Outbound references

Observation f5fafa83-073d-4359-bf7c-913578d3ea96 · outbound

This paper cites Mathematical Programming190(1–2), 105– 134 (2020) https://doi.org/10.1007/s10107-020-01526-w.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Mathematical Programming190(1–2), 105– 134 (2020) https://doi.org/10.1007/s10107-020-01526-w

Reference 1

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This paper cites Indiana Univer- sity Mathematics Journal 42(3), 969–984 (1993) https://doi.org/10.1512/iumj.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Indiana Univer- sity Mathematics Journal 42(3), 969–984 (1993) https://doi.org/10.1512/iumj

Reference 2

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This paper cites SIAM Journal on Optimization 11(3), 796–817 (2001) https://doi.org/ 10.1137/S1052623400366802.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization SIAM Journal on Optimization 11(3), 796–817 (2001) https://doi.org/ 10.1137/S1052623400366802

Reference 3

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Observation 437a7fcf-4e85-46c6-b1e9-ff3c3fd3af19 · outbound

This paper cites Mathematical programming 146, 97–121 (2014).

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Mathematical programming 146, 97–121 (2014)

Reference 4

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This paper cites SIAM Journal on Optimization 17(3), 822–843 (2006) https://doi.org/ 10.1137/05064504X.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization SIAM Journal on Optimization 17(3), 822–843 (2006) https://doi.org/ 10.1137/05064504X

Reference 5

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This paper cites SIAM Journal on Optimization 31(1), 30–58 (2021) https: //doi.org/10.1137/19m1307871.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization SIAM Journal on Optimization 31(1), 30–58 (2021) https: //doi.org/10.1137/19m1307871

Reference 6

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This paper cites SIAM Journal on Optimization 46 31(1), 114–141 (2021) https://doi.org/10.1137/20M1323564.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization SIAM Journal on Optimization 46 31(1), 114–141 (2021) https://doi.org/10.1137/20M1323564

Reference 7

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This paper cites ACM Transactions on Mathematical Software 48(4), 1–26 (2022) https://doi.org/10.1145/3569709.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization ACM Transactions on Mathematical Software 48(4), 1–26 (2022) https://doi.org/10.1145/3569709

Reference 8

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This paper cites Mathematical Programming 205(1–2), 703–744 (2023) https://doi.org/10.1007/ s10107-023-01993-x.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Mathematical Programming 205(1–2), 703–744 (2023) https://doi.org/10.1007/ s10107-023-01993-x

Reference 9

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This paper cites Mathematics of Operations Research 38(1), 122–141 (2013) https://doi.org/10.1287/moor.1120.0558.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Mathematics of Operations Research 38(1), 122–141 (2013) https://doi.org/10.1287/moor.1120.0558

Reference 10

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This paper cites Series on Optimization and Its Applications, vol.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Series on Optimization and Its Applications, vol

Reference 11

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This paper cites Mathematical Programming 209(1–2), 435– 473 (2024) https://doi.org/10.1007/s10107-024-02071-6.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Mathematical Programming 209(1–2), 435– 473 (2024) https://doi.org/10.1007/s10107-024-02071-6

Reference 12

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Observation 1a774a56-9200-4c2e-9b6e-9161685f8893 · outbound

This paper cites In: Proceedings of the 44th IEEE Con- ference on Decision and Control, pp.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization In: Proceedings of the 44th IEEE Con- ference on Decision and Control, pp

Reference 13

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This paper cites Structural and Multidisciplinary Optimization64(4), 1963–1981 (2021) https://doi.org/10.1007/s00158-021-02957-5.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Structural and Multidisciplinary Optimization64(4), 1963–1981 (2021) https://doi.org/10.1007/s00158-021-02957-5

Reference 14

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Observation 5aa6575b-3df7-4f42-9167-2236800b1ca9 · outbound

This paper cites Quantum open system identification via global optimization: Optimally accurate Markovian models of open systems from time-series data.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Quantum open system identification via global optimization: Optimally accurate Markovian models of open systems from time-series data

Reference 15

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This paper cites IEEE Transactions on Automatic Control 51(2), 192–202 (2006) https://doi.org/10.1109/TAC.2005.863494.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization IEEE Transactions on Automatic Control 51(2), 192–202 (2006) https://doi.org/10.1109/TAC.2005.863494

Reference 16

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This paper cites Mathematical Programming 107(1–2), 189–211 (2005) https: //doi.org/10.1007/s10107-005-0684-2.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Mathematical Programming 107(1–2), 189–211 (2005) https: //doi.org/10.1007/s10107-005-0684-2

Reference 17

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Observation a338a1d5-daf1-428a-9198-5a3fe2964b89 · outbound

This paper cites Sparse Polynomial Matrix Optimization.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Sparse Polynomial Matrix Optimization

Reference 18

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This paper cites Optimization and Engineering, 1–44 (2025) https: //doi.org/10.1007/s11081-025-10000-5.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Optimization and Engineering, 1–44 (2025) https: //doi.org/10.1007/s11081-025-10000-5

Reference 19

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This paper cites Mathematical Programming 197(1), 71–108 (2021) https: //doi.org/10.1007/s10107-021-01728-w.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Mathematical Programming 197(1), 71–108 (2021) https: //doi.org/10.1007/s10107-021-01728-w

Reference 20

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This paper cites In: 2018 IEEE Conference on Decision and Control (CDC), pp.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization In: 2018 IEEE Conference on Decision and Control (CDC), pp

Reference 21

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This paper cites Texts in Applied Mathematics.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Texts in Applied Mathematics

Reference 22

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This paper cites Cambridge University Press, Cambridge, UK (2015).

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Cambridge University Press, Cambridge, UK (2015)

Reference 23

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This paper cites Memoirs of the American Mathematical Society 119(568), 1–52 (1996) https://doi.org/10.1090/memo/0568.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Memoirs of the American Mathematical Society 119(568), 1–52 (1996) https://doi.org/10.1090/memo/0568

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Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Unresolved cited work

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This paper cites https://doi.org/ 10.1137/23M1557088.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization https://doi.org/ 10.1137/23M1557088

Reference 26

Resolution: verified exact; doi, observed 2026-08-05T11:29:37.766550Z

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This paper cites Structural and Multidisciplinary Opti- mization 66(12), 257 (2023) https://doi.org/10.1007/s00158-023-03715-5.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Structural and Multidisciplinary Opti- mization 66(12), 257 (2023) https://doi.org/10.1007/s00158-023-03715-5

Reference 27

Resolution: verified exact; doi, observed 2026-08-05T11:29:37.665683Z

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Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Unresolved cited work

Reference 28

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This paper cites Linear algebra and its applications 107, 101–149 (1988) https://doi.org/10.1016/0024-3795(88)90240-6.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Linear algebra and its applications 107, 101–149 (1988) https://doi.org/10.1016/0024-3795(88)90240-6

Reference 29

Resolution: verified exact; doi, observed 2026-08-05T11:29:37.515382Z

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This paper cites 48 Foundations and Trends in Optimization 1(4), 241–433 (2015) https://doi.org/ 10.1561/2400000006.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization 48 Foundations and Trends in Optimization 1(4), 241–433 (2015) https://doi.org/ 10.1561/2400000006

Reference 30

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This paper cites SIAM Journal on optimization 11(3), 647–674 (2001) https://doi.org/10.1137/S1052623400366218.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization SIAM Journal on optimization 11(3), 647–674 (2001) https://doi.org/10.1137/S1052623400366218

Reference 31

Resolution: verified exact; doi, observed 2026-08-05T11:29:37.362532Z

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This paper cites Applied Optimization, vol.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Applied Optimization, vol

Reference 32

Resolution: verified exact; doi, observed 2026-08-05T11:29:37.214261Z

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Observation e49e3035-d52e-4193-8ed0-1eadd80836a7 · outbound

This paper cites Japan Journal of Industrial and Applied Mathematics 27(1), 125– 160 (2010) https://doi.org/10.1007/s13160-010-0006-9.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Japan Journal of Industrial and Applied Mathematics 27(1), 125– 160 (2010) https://doi.org/10.1007/s13160-010-0006-9

Reference 33

Resolution: verified exact; doi, observed 2026-08-05T11:29:36.991854Z

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Observation 5d78788c-c055-4cb3-9a0b-3a5b9a776233 · outbound

This paper cites IEEE Transactions on Microwave Theory and Techniques 68(2), 456–468 (2020) https://doi.org/10.1109/tmtt.2019.2955082.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization IEEE Transactions on Microwave Theory and Techniques 68(2), 456–468 (2020) https://doi.org/10.1109/tmtt.2019.2955082

Reference 34

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Observation 2586d600-517b-43e3-9426-373327475871 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 198(37–40), 3084– 3095 (2009) https://doi.org/10.1016/j.cma.2009.05.012 49.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Computer Methods in Applied Mechanics and Engineering 198(37–40), 3084– 3095 (2009) https://doi.org/10.1016/j.cma.2009.05.012 49

Reference 35

Resolution: verified exact; doi, observed 2026-08-05T11:29:36.825940Z

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