Paper Citation Record · LEDGER

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition

As of 16 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1908.09326.

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pith.paper-citation-record.v1
1908.09326 v1

Coverage vector

measured 41 of 41 reference resolution

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Outbound references

Observation 2381a303-8d11-4b0f-8294-54f86e9a6da6 · outbound

This paper cites Aftab and R.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Aftab and R

Reference 1

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Observation 78057ddd-1e67-416e-9810-17482c9058d5 · outbound

This paper cites Ando, C.-K.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Ando, C.-K

Reference 2

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Observation a5422df3-6292-413a-a250-64f7d7e76fd5 · outbound

This paper cites Arnaudon, F.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Arnaudon, F

Reference 3

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Observation 2c1ee2a6-b1dc-4073-b077-b75c5a4ebd75 · outbound

This paper cites Arsigny, P.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Arsigny, P

Reference 4

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Observation 3d8575b9-3ea1-4807-af37-6dace6ddc409 · outbound

This paper cites Barachant, S.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Barachant, S

Reference 5

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Observation 448f7cff-2560-46ab-b869-24cf0ed71491 · outbound

This paper cites Bhatia, Positive Deﬁnite Matrices , Princeton University Press, 2007.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Bhatia, Positive Deﬁnite Matrices , Princeton University Press, 2007

Reference 6

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Observation d879d135-d909-47ba-a2db-51530ea94160 · outbound

This paper cites Bhatia, T.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Bhatia, T

Reference 7

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Observation 4867b09d-0b6b-44fb-9920-c2bb3ac4e427 · outbound

This paper cites Bhattacharya and V.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Bhattacharya and V

Reference 8

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Observation 05f3fad1-2503-47be-ae80-c8f5a93a6ee4 · outbound

This paper cites Caseiro, J.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Caseiro, J

Reference 9

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Observation fef6a838-9405-477f-95da-30705dd2640d · outbound

This paper cites Chebbi and M.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Chebbi and M

Reference 10

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Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Unresolved cited work

Reference 11

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Reference 12

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Observation 9fc56760-b198-4006-a64a-e2b718b52221 · outbound

This paper cites Fillard, V.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Fillard, V

Reference 13

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Reference 14

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Reference 15

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Reference 16

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Observation 9c29bd02-2b5f-4595-bfe3-cfb152e7f377 · outbound

This paper cites Grubiˇsi´c and R.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Grubiˇsi´c and R

Reference 17

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Observation e82ba16c-ad61-43ac-9b6f-3de3b13ee1b8 · outbound

This paper cites Guilleminot and C.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Guilleminot and C

Reference 18

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Observation 0af2c8ab-f0da-4708-91b9-245048940d0a · outbound

This paper cites Helgason, Diﬀerential Geometry, Lie Groups, and Symmetric Spaces , American Mathe- matical Society, 2001.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Helgason, Diﬀerential Geometry, Lie Groups, and Symmetric Spaces , American Mathe- matical Society, 2001

Reference 19

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This paper cites Hosseini and S.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Hosseini and S

Reference 20

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Reference 21

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Reference 22

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Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Unresolved cited work

Reference 23

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Observation ff2c6a8d-90c2-4180-9170-6fd427428131 · outbound

This paper cites Lang, Diﬀerential and Riemannian Manifolds , Springer, New York, 1995.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Lang, Diﬀerential and Riemannian Manifolds , Springer, New York, 1995

Reference 24

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Observation 5148d665-d0f4-4cfe-ab52-7d25a410ba34 · outbound

This paper cites Le Bihan , Molecular diﬀusion nuclear magnetic resonance imaging , Magnetic Resonance Quarterly, 7 (1991), pp.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Le Bihan , Molecular diﬀusion nuclear magnetic resonance imaging , Magnetic Resonance Quarterly, 7 (1991), pp

Reference 25

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Reference 26

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Observation db14b82f-f129-4c00-8830-ecb1c23b4e9f · outbound

This paper cites Lenglet, M.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Lenglet, M

Reference 27

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Observation eb09b852-5672-4b7e-a711-eef8e282fdcf · outbound

This paper cites Massart and P.-A.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Massart and P.-A

Reference 28

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Observation 6aaa07cc-fe27-4c0a-980c-a556c7736b23 · outbound

This paper cites Milnor, Morse Theory, Princeton University Press, 1963.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Milnor, Morse Theory, Princeton University Press, 1963

Reference 29

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Observation 5f7fd5aa-2b3e-4ac5-a3a5-0bfe2a134eff · outbound

This paper cites Moakher, A diﬀerential geometry approach to the geometric mean of symmetric positive- deﬁnite matrices, SIAM Journal on Matrix Analysis and Applications, 26 (2005), pp.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Moakher, A diﬀerential geometry approach to the geometric mean of symmetric positive- deﬁnite matrices, SIAM Journal on Matrix Analysis and Applications, 26 (2005), pp

Reference 30

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Observation 3d8cb7ac-615d-44e9-8075-c14fc8ee20a4 · outbound

This paper cites Moakher, On the averaging of symmetric positive-deﬁnite tensors , Journal of Elasticity, 82 (2006), pp.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Moakher, On the averaging of symmetric positive-deﬁnite tensors , Journal of Elasticity, 82 (2006), pp

Reference 31

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Observation 06d5db5e-6d8e-40a1-a149-4b10d84ee485 · outbound

This paper cites Osborne, V.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Osborne, V

Reference 32

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Observation a05bfc3f-1b7a-4aff-ab3f-d4c7fcde94fd · outbound

This paper cites Pennec, Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measure- ments, Journal of Mathematical Imaging and Vision, 25 (2006), pp.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Pennec, Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measure- ments, Journal of Mathematical Imaging and Vision, 25 (2006), pp

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:24:31.955097Z

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Observation 5bf59424-6f61-4ba4-8816-6e77c2d86198 · outbound

This paper cites Pennec, P.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Pennec, P

Reference 34

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Observation 9c6f244f-1c90-469c-9984-adf0001de248 · outbound

This paper cites Rathi, A.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Rathi, A

Reference 35

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Observation cb5ec74f-1199-4471-9f64-da5bfc7ba958 · outbound

This paper cites Schiratti, S.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Schiratti, S

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:24:31.923656Z

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Observation 12a48fbe-5c7d-4a22-8089-f40a4f38e5f4 · outbound

This paper cites Sra, Positive deﬁnite matrices and the S-divergence , Proceedings of the American Mathe- matical Society, 144 (2016), pp.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Sra, Positive deﬁnite matrices and the S-divergence , Proceedings of the American Mathe- matical Society, 144 (2016), pp

Reference 37

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Observation c1d5ad96-9957-46bb-a293-4aa672734a92 · outbound

This paper cites Vandereycken, P.-A.

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Vandereycken, P.-A

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:24:31.901902Z

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Observation 8fecbdf1-580f-4ca6-9833-b514f3ff6992 · outbound

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Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Unresolved cited work

Reference 39

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Observation a0ad30d8-19f9-4e86-8385-7b145e58f280 · outbound

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Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Unresolved cited work

Reference 40

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Observation 018e5a56-e585-41bd-ad52-2483791d55da · outbound

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Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition Unresolved cited work

Reference 41

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